what is the absolute value of -4?

Answers

Answer 1

The answer is 4. Any absolute value of a negative number is positive

Answer 2

Answer: 4

Step-by-step explanation: It's important to understand what absolute value really means and that is the absolute value of a number represents that numbers distance from zero on a number line.

The absolute value of -4 is 4. The reason the absolute value of -4 is 4 is that if we graph -4 down here on the number line, you can see that its distance from zero is 4 units.

I have attached a number line below showing the absolute value of -4

What Is The Absolute Value Of -4?

Related Questions

The areas of two similar octagons are 4 m² and 9 m². What is the scale factor of their legths? ?:?

Answers

Final answer:

The scale factor of the lengths of two similar octagons with areas 4 m² and 9 m² is obtained by taking the square root of the ratio of their areas, yielding a scale factor of 1.5.

Explanation:

The subject of this question is Mathematics, particularly dealing with geometry and scale factors. For two similar shapes, the ratio of their areas is equal to the square of the scale factor of their lengths.

Given the areas of the two similar octagons as 4 m² and 9 m², we find the square root of the ratio of the areas to obtain the scale factor of the lengths. That is, √(9/4) = √2.25 = 1.5.

Therefore, the scale factor of the lengths of the two similar octagons is 1.5.

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Final answer:

The scale factor of the lengths of the two similar octagons is 1.5.

Explanation:

To find the scale factor of the lengths of two similar octagons, we can use the formula:

Scale factor = sqrt(Area2 / Area1)

Where Area1 is the area of the first octagon, and Area2 is the area of the second octagon.

Plugging in the given values, we get:

Scale factor = sqrt(9 m² / 4 m²) = sqrt(2.25) = 1.5

Therefore, the scale factor of the lengths of the two octagons is 1.5.

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Marissa is purchasing a home for $169,000.00. Her loan has been approved for a 30-year fixed-rate loan at 5 percent annual interest. Marissa will pay 20 percent of the purchase price as a down payment. What will be her monthly payment?

Answers

Answer:

$726.02 I had to guess cause I used a calculator but it didn't get to an exact number this is the closet

Answer:

$726.02

Step-by-step explanation:

Please help this is my last question

Answers

Answer:

  x = 12 cm

Step-by-step explanation:

The product of lengths from the secant intersection point to the "near" and "far" circle intersection points is the same for both secants. When one "secant" is a tangent, the lengths to the circle intersection points are the same (so their product is the square of the tangent segment length).

  8^2 = 4·(4 +x) . . . . . . measures in centimeters

  16 = 4 +x . . . . . . divide by 4

  12 = x . . . . . . . . . subtract 4

Jack has $100 and spends $3 daily. Jill has $20 and earns $5 daily. How many days until they have then same amount?

Answers

The answer is -- 10 days

jenna buys 8 packets of letter paper. Each packet contains 12 sheets of paper. She uses 16 sheets of letter paper a week. How many weeks will it take her to use all the letter paper?​

Answers

She will take 6 weeks.

Answer:

She will take 6 weeks.

hope this helps

Determine and prove what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value.

A(24, −8), B(12, −17), C(3, −5), D(15, 4)

The shape is a .

The perimeter of ABCD is .

The area of ABCD is .

Answers

Answer:

square; 60; 225.

Step-by-step explanation:

1) using the vectors rules to calculate the lengths of the sides AB; BC; CD and AD. When AB=BC=CD=AD it means, the shape is a square of rhombus.

2) using the vectors rules to calculate the lengths of the diagonales AC and BD. When AC=BD it means, the shape is a square.

3) The perimeter of the square ABCD is 15*4=60.

4) The area of the square ABCD is 15*15=225.

All the details are in the attached picture; answers are marked with colour.

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = ln(n + 3) − ln(n)

Answers

[tex]\ln(n+3)-\ln n=\ln\dfrac{n+3}n=\ln\left(1+\dfrac3n\right)[/tex]

We can show the sequence is bounded and monotonic.

Boundedness: [tex]1+\dfrac3n>1[/tex] for all [tex]n>0[/tex], so [tex]\ln\left(1+\dfrac3n\right)>\ln1=0[/tex] for all [tex]n>0[/tex].

Monotonicity: Consider the function

[tex]f(x)=\ln\left(1+\dfrac3x\right)[/tex]

which has derivative

[tex]f'(x)=\dfrac{1+\frac3x}{-\frac3{x^2}}=-\dfrac3{x^2+3x}[/tex]

which has negative sign for all [tex]x>0[/tex], and so [tex]f(x)[/tex] is strictly decreasing.

[tex]\ln(n+3)-\ln n[/tex] is bounded and monotonic, so the sequence converges.

As [tex]n\to\infty[/tex] we have [tex]\dfrac3n\to0[/tex], leaving us with the limit

[tex]\displaystyle\lim_{n\to\infty}(\ln(n+3)-\ln n)=\lim_{n\to\infty}\ln\left(1+\frac3n\right)=\ln\left(1+\lim_{n\to\infty}\frac3n\right)=\ln1=0[/tex]

Final answer:

The sequence an = ln(n + 3) - ln(n) converges with a limit of 0. This is determined by simplifying the expression and observing its behavior as n approaches infinity.

Explanation:

Firstly, the question pertains to the study of the convergence or divergence of a sequence. In this case, we're looking at the sequence an = ln(n + 3) - ln(n). Using logarithmic properties, this can be rewritten as ln((n+3)/n). As n approaches infinity, the sequence converges to the limit ln(1), which equals 0. Therefore, the sequence converges and its limit is 0.

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Graph x^2 +y^2=9. What are the lines of symmetry

Answers

Answer:

The lines of symmetry are the diameters, any straight line passing through the origin and touching both ends of the circle.

Step-by-step explanation:

Without graphing, this is the equation of a circle with center at the origin,

(0, 0) and with a radius of 3 units. The general equation of a circle with center (a, b) and with radius r units is given as;

[tex](x-a)^{2}+(y-b)^{2}=r^{2}[/tex]  

The graph of the function is as shown in the attachment below;

A line of symmetry cuts the graph of a function into two equal parts such that these parts become mirror images of each other.

For the case of a circle, the line that divides the circle into two equal portions is the diameter. Any given circle has infinite number of diameters.

Therefore, the lines of symmetry are the diameters, any straight line passing through the origin and touching both ends of the circle.

andrea went on a shopping spree and bought 5 pairs of jeans 4 t shirts and 2 pairs of shoes the jeans cost 8 dollars each the t shirts cost 6 dollars each and the shoes were buy one get one free with the first pair cosing 12 dollars how much did andrea spend on her shopping spree

Answers

Answer:$76

Step-by-step explanation:

JEANS: (5x8)= 40

SHIRTS:(4x6)= 24

SHOES BUY ONE GET ONE FREE: (12x2 - 12)= 12

40 + 24 + 12 = 76

WILL MAKE BRAINLIEST
What is the length of the longest side of a triangle that has vertices at (4, -2), (-4, -2), and (4, 4)? A. 10 B. 35.25 C. 50 D. 14

Answers

Answer:

A. 10

Step-by-step explanation:

This is a right triangle with a hypotenuse between the vertices (-4,-2) and (4,4). You can now solve for the length to get 10.

I need help with both these questions please

Answers

Answer:

  2. 90°

  3. 65°

Step-by-step explanation:

2. Points A, B, and D are on a semicircle centered at C. The angle A is inscribed in that semicircle, so is 90°. Then angles B and D sum to 90°.

__

3. Triangle ABC is similar to triangle EDC by SAS, so angle x has the same measure as the third angle of triangle EDC: 180° -80° -35° = 65°.

___

The relevant relationship in both cases is that the sum of angles in a triangle is 180°. Also, for problem 2, you need to know that an inscribed angle has half the measure of the arc it subtends. And for problem 3, it helps to understand the relationships in similar triangles.

Twenty people report for jury duty. How many different 12 perosn juries can be chosen

Answers

Answer:

125,970

Step-by-step explanation:

Even if jury are assigned numbers, the order in which they are picked has no importance.  That means that it's a combination, not a permutation.

The formula to calculate possible combinations is:

[tex]C(n,r) = \frac{n!}{(r! (n-r)!)}[/tex]

Where n is the global population, and r is the number of selected items.

In our case, n = 20 and r = 12, so...

[tex]C(20,12) = \frac{20!}{(12! (20-12)!)} = 125970[/tex]

There are 125970 different ways to select 12 jury members out of 20 people.

there are 125970 different 12 person juries that can be chosen from a pool of 20 people.

The question is asking how to determine the number of different ways to choose a 12-person jury from a pool of 20 potential jurors. This type of problem is solved using the concept of combinations in mathematics, specifically the binomial coefficient formula which is given by the following:

C(n, k) = n! / (k!(n - k)!)

where:

n represents the total number of items (in this case, jurors).

k represents the number of items to choose (jurors to be selected for the jury).

n! means factorial of n, which is the product of all positive integers up to n.

In this scenario, n = 20 and k = 12. Therefore, the number of different 12 person juries that can be chosen is calculated as:

C(20, 12) = 20! / (12!(20 - 12)!)

Further calculation yields:

C(20, 12) = 20! / (12!8!) = 125970

Therefore, there are 125970 different 12 person juries that can be chosen from a pool of 20 people.

Solve the system algebraically. y = 3 -1/2 x 3x + 4y = 1 What is the value of x?

Answers

Answer: [tex]x=-11[/tex]

Step-by-step explanation:

You can use the Method of substitution.

Substitute the equation [tex]y=3-\frac{1}{2}x[/tex] into the equation [tex]3x + 4y = 1[/tex] and then you must solve for the variable x:

[tex]3x + 4y = 1\\\\3x + 4(3-\frac{1}{2}x) = 1\\[/tex]

Apply Distributive property:

[tex]3x + 12-\frac{4}{2}x = 1\\3x+12-2x=1[/tex]

Subtract 12 from both sides of the equation and then add the like terms. Then you get:

[tex]3x+12-2x-12=1-12\\3x-2x=-11\\x=-11[/tex]

Given that R is between S and T , Sr = 3 and 2/3

Answers

Answer:

  10.  D. 5 1/3

  11.  C. 285 cm

  12.  A. 42 units

Step-by-step explanation:

The first two are simple addition problems. (In problem 11, you can replace the addition of 5 identical numbers with a multiplication by 5.) The last problem is also an addition problem, but figuring out what to add can take a little effort.

___

10. The segment addition theorem tells you that for R between S and T:

  ST = SR + RT

  ST = 3 2/3 + 1 2/3 = (3 +1) + (2/3 +2/3) = 4 + 4/3 = 4 + 1 1/3

  ST = 5 1/3

__

11. The definition of a regular polygon is that all of its sides and angles are congruent. A "pentagon" is 5-sided polygon, so your regular pentagon will have 5 sides, each of measure 57 cm. The perimeter is the total length of the sides, so is ...

  P = 57 cm +57 cm +57 cm +57 cm +57 cm

  P = 5×57 cm

  P = 285 cm

__

12. Again, the perimeter is the sum of the side lengths. Here, the length of the top side is easily figured by the difference of x-coordinates (6 units). The length of the left side is recognizable as double the length of the hypotenuse of a 3-4-5 right triangle (10 units). The lengths of the other two sides can be found using the distance formula with the end point coordinates:

  MN = √((-10-8)^2 +(-6-(-3))^2) = √(324 +9) = √333 ≈ 18.248

 LM = √((8-2)^2 +(-3-2)^2) = √(36 +25) = √61 ≈ 7.810

So, the perimeter is ...

  P = 6 + 10 + 18.248 +7.810 = 42.058 ≈ 42 units

_

Here, it is helpful to be familiar with the 3-4-5 right triangle. It has several interesting properties, one of which is that it shows up in algebra problems a lot. Any triangle with this ratio of side lengths is also a right triangle.

In this problem, the difference in coordinates K - N = (-4-(-10), 2-(-6)) = (6, 8) which we recognize as having the ratio 3:4. We could continue with the distance formula:

  NK = √(6^2 +8^2) = √100 = 10

or, we can simply recognize this will be the result based on our familiarity with this triangle.

_

An alternate approach to this problem will also work. You can estimate the length of the perimeter.

The distance between two points is more than the maximum difference of their coordinates and less than the sum of differences of their coordinates. For example, the distance between points N and K will be more than 8 and less than 8+6=14.

If you need to refine this very crude estimate further, you can add 40% of the smallest difference to the largest difference. In this case, that would be ...

  8 + 0.40·6 = 10.4 . . . . . we already know the length is actually 10, so we see this estimate is within 4% of the real length.

For the coordinates in this problem, we can see that the perimeter will be more than the sum of the longest coordinate differences: 6+6+18+8 = 38. This is an important fact, because it eliminates all of the answer choices except 42. If there were any remaining ambiguity as to the answer, we could refine our estimate by adding 40% of the sum of the shortest coordinate differences: 0.40·(0+5+3+6) = 5.6. That would bring our estimate to 38+5.6 = 43.6, within 4% of the actual value of the perimeter.

6 x 10^5 is how many times as large as 3 x 10^3

Answers

Answer:

Your Awnser would be 597,000

Step-by-step explanation:

Answer:

The actual answer for this question should be 200.

Step-by-step explanation:

There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 3.1% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.

Write an exponential function showing the relationship between
and y and t
.

Answers

Answer:

y = 700 (0.969)^t

Step-by-step explanation:

Using the depreciation formula after a given period of time.

A = P (1- r/100)^n

Where, A is the initial value

P is the original value

r is the rate of depreciation and

n is the time taken in years

Therefore;

A will be the new mass of the sample after decay,y

P is the original mass of the sample before decay, 700 mg

r is the rate of decay each year, 3.1% and

n is the number of years, t

Hence;

y = 700 (1- 3.1/100)^t

y = 700 (96.9/100)^t

y = 100(0.969)^t

Final answer:

The relationship between the mass of the radioactive sample (y) and the number of years since the start of the study (t) can be represented by the exponential function y = 700 * (1 - 0.031) ^ t.

Explanation:

This is a problem related to exponential decay. In general, the formula for an exponential decay is given as Y = A * (1 - r) ^ t where 'A' represents the initial amount, 'r' is the rate of decay (as a decimal), and 't' is the time period.

For this problem, the initial amount of the radioactive substance is 700 milligrams (A = 700), the rate of decay is 3.1% per year (r = 0.031), and 't' is represented as the number of years since the start of the study.

Using these values, we can write the exponential function showing the relationship between the mass of the sample 'y' and the number of years 't' as follows:

y = 700 * (1 - 0.031) ^ t

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A rectangle prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?

Answers

Check the picture below.

so is filled with those cubes, recall that a cube has all equal sides, in this case 1/3, so the volume of each cube is simply the product of length*width*height.

[tex]\bf \stackrel{\textit{volume of one cube}}{\cfrac{1}{3}\cdot \cfrac{1}{3}\cdot \cfrac{1}{3}\implies \cfrac{1}{27}}\qquad \qquad \stackrel{\textit{if there are \underline{x} cubes inside then their total volume is}}{\cfrac{1}{27}x~~~~=~~~~\stackrel{\textit{volume of prism}}{4}} \\\\\\ x=27\cdot 4\implies x=108[/tex]

[tex]f(x)=\frac{x^{-1}}{x^{-1}+1^{-x}}[/tex]

Use the function above.
What's the value of f(2)?​

Answers

Some simplification:

[tex]\dfrac{x^{-1}}{x^{-1}+1^{-x}}=\dfrac{x^{-1}}{x^{-1}+1}=\dfrac1{1+\frac1{x^{-1}}}=\dfrac1{1+x}[/tex]

Then

[tex]f(2)=\dfrac1{1+2}=\dfrac13[/tex]

Use the constant term and leading coefficient to list all the potential roots of the expression.

5x4 + x3 + 3x2 - 7

Using the information, what is the factors of constant?

Answers

Answer: 1,7 and 1,5 on coefficient

Step-by-step explanation:

Equation at the end of step  1  :

 (((5•(x4))+(x3))+3x2)-7

Step  2  :

Equation at the end of step  2  :

 ((5x4 +  x3) +  3x2) -  7

Step  3  :

Checking for a perfect cube :

3.1    5x4+x3+3x2-7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  5x4+x3+3x2-7  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  3x2-7  

Group 2:  5x4+x3  

Pull out from each group separately :

Group 1:   (3x2-7) • (1)

Group 2:   (5x+1) • (x3)

3.3    Find roots (zeroes) of :       F(x) = 5x4+x3+3x2-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  5  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,5

of the Trailing Constant :  1 ,7

The factor of the constant is [tex]\rm (x+1) (5x^3-4x^2+7x-7) =0\\\\[/tex].

Given

Expression; [tex]\rm 5x^4+x^3+3x^2-7[/tex]

What is the leading coefficient?

The leading coefficient of the polynomial of the term has the highest degree of the polynomial.

The factors of the constant term;

[tex]\rm 5x^4+x^3+3x^2-7=0\\\\ 5x^4-4x^3+7x^2-7x+5x^3-4x^2+7x-7=0\\\\(x+1) (5x^3-4x^2+7x-7) =0\\\\[/tex]

Hence, the factor of the constant is [tex]\rm (x+1) (5x^3-4x^2+7x-7) =0\\\\[/tex].

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Given: m VKP =148° Find: m∠JPV

Answers

Answer:

106

Step-by-step explanation:

VPL=1/2VkP

VKP=148

VPL=74

JPV+VPL=180

JPV=106

The measurement of angle JPV from the considered situation is found as m∠JPV = 106°

What is the angle the radius makes on the point of contant of a tangent of a circle?

The radius which touches the point where the tangent touches too on a specified circle, is perpendicular to the tangent (90 degrees angle with the tangent).

Referring to the image attached below, we're provided that:

m arcVKP = central angle arc VKP subtends = m∠VOP = 148°

The perpendicular from center O on the line VP (VP is a chord) bisects it, and therefore, the triangle ODP and ODV are congruent by SAS congruency [ side OD is common, the angle (the 90 degree) on either side of OD is of same measure, and VD and DP are of same measure due to OD bisecting VP).

Thus, we get:

[tex]m\angle POD = m\angle VOD[/tex]

But since we have:

m∠POD + m∠VOD  = m∠VOP = 148°

thus, m∠POD + m∠POD = 148°

or  m∠POD = 148°/2 = 74° = m∠VOD

Now, as sum of angles in a triangle is 180°, therefore, for triangle OPD, we get:

[tex]m\angle OPD + m\angle ODP + m\angle POD = 180^\circ\\x^\circ + 90^\circ + 74^\circ = 180^\circ\\x = 16[/tex]

Thus, we get the measurement of angle JPV as:

[tex]m\angle JPV = m\angle JPO + m\angle OPD\\ m\angle JPV = 90^\circ + x^\circ = (90 + 16)^\circ = 106^\circ[/tex]

Thus, the measurement of angle JPV from the considered situation is found as m∠JPV = 106°

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Verify the identity

Answers

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

HURRY HELP WITH MATH CIRCLES AND TANGENTS

Answers

Answer:

m∠DAB = 90°

Step-by-step explanation:

* Lets revise some facts about the circle

- If two tangent segments drawn from a point outside the circle, then

 the two tangent segments are equal in length

- The radius and the tangent perpendicular to each other at the point

 of contact

* Lets solve the problem

∵ AB and AD are two tangent segments to circle C at B and D

 respectively

∴ AB = AD ⇒ (1)

∵ CD and CD are two radii

∴ AB ⊥ BC and AD ⊥ DC

∴ m∠ABC = m∠ADC = 90°

∵ m∠BDC = 45°

∵ ∠BDC + m∠ADB = m∠ADC

∴ 45° + m∠ADB = 90° ⇒ subtract 45° from both sides

∴ m∠ADB = 45° ⇒ (2)

- In Δ ABD

∵ AB = AD ⇒ proved in (1)

∴ m∠ABD = m∠ADB ⇒ isosceles triangle

∵ m∠ADB = 45° ⇒ proved in (2)

∴ m∠ABD = 45°

- The sum of the measure of the interior angles of a Δ is 180°

∴ m∠DAB + m∠ABD + m∠ADB = 180°

∴ m∠DAB + 45° + 45° = 180° ⇒ simplify

∴ m∠DAB + 90° = 180° ⇒ subtract 90° from both sides

∴ m∠DAB = 90°

What is the solution to the equation -3(h+5)+2=4(h+6)-g

Answers

Final Answer:

The solution to the equation -3(h + 5) + 2 = 4(h + 6) - g is h = -12 and g = -18.

Explanation:

Distribute the negative signs:

-3(h + 5) + 2 = -3h - 15 + 2

Combine constant terms:

-3h - 15 + 2 = 4(h + 6) - g

-3h - 13 = 4h + 24 - g

Isolate h on one side:

-7h - 13 = 24 - g

-7h = 37 - g

h = (37 - g) / -7

Substitute h back into the original equation to solve for g:

-3(h + 5) + 2 = 4(h + 6) - g

-3((37 - g) / -7 + 5) + 2 = 4((37 - g) / -7 + 6) - g

-3(-12 - g + 35) + 2 = 4(-12 - g + 42) - g

Simplify both sides:

11g + 66 = -36g + 108

47g = 42

g = -18

Therefore, the solution is h = -12 and g = -18.

a circle had a sector with area 33pi and central angle of 11/6pi radians
what is the area of the circle?

Answers

Answer:

The area of the circle is [tex]36\pi\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of [tex]2\pi[/tex] radians

so

By proportion find the area of the circle

[tex]\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}[/tex]

Answer:

its just 36 pi

Step-by-step explanation:

just did this one

Find the perimeter and area of this figure


it is made up of semicircles and quarter circles

please use the actual symbol pi, do not simplify

Answers

Answer:

A = (16π -32) in²

P = (4π +8√2) in

Step-by-step explanation:

The area is that of a quarter-circle of radius 8 inches less half the area of a square with side length 8 inches. Two formulas are useful:

area of a circle = πr² . . . . .r = radius

area of a square = s² . . . . s = side length

Then your area is ...

A = (1/4)π(8 in)² - (1/2)(8 in)² = (64 in²)(π/4 -1/2)

A = (16π -32) in²

____

The applicable formulas for the side lengths of your figure are ...

arc BD = (1/4)(2πr) = π(r/2) = π(8 in)/2 = 4π in

segment BD = (8 in)√2

The perimeter is the sum of these lengths, so is ...

P = (4π +8√2) in

_____

Of course, you are very familiar with the fact that an isosceles right triangle with side lengths 1 has a hypotenuse of length √(1²+1²) = √2. Scaling the triangle by a factor of 8 inches means the segment AB will be 8√2 inches long.

Please help me this is my last question

Answers

Answer:

  y = 11.2 in

Step-by-step explanation:

The square of the tangent length is equal to the product of the lengths of the secant from the intersection with the tangent to the near and far circle intersection points.

  9^2 = 5(5+y)

  16.2 = 5+y . . . . . divide by 5

  11.2 = y . . . . . . inches

WILL GIVE BRAINLIEST!!

Answers

Answer:

6.9

Step-by-step explanation:

12 x 4 = x^2

48 = x^2

x = 6.9

Answer:

6.9

explanation:

I did the test.

hope this helps you!

:D

Can someone explain how to solve this?

Answers

Answer:

21.5

Step-by-step explanation:

x is the radius of the circle.

If we draw a line from the circle's center to either end of the horizontal line, that line will also be a radius, so it will have length x.  This forms a right triangle with side lengths 10 and 19 and hypotenuse x.

Using Pythagorean Theorem:

c² = a² + b²

x² = 10² + 19²

x² = 461

x ≈ 21.5

Please answer the question!

Answers

ANSWER

[tex]Area = 2\sqrt{3} \: {cm}^{2} [/tex]

EXPLANATION

We need to use the Pythagoras Theorem to find the height of the triangle.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] ({2 \sqrt{3}) }^{2} + {b}^{2} = {4}^{2} [/tex]

[tex]12 + {b}^{2} = 16[/tex]

[tex] {b}^{2} = 16 - 12[/tex]

[tex]{b}^{2} = 4[/tex]

Take positive square root to get;

[tex]b = \sqrt{4} = 2[/tex]

Area =½bh

[tex]Area = \frac{1}{2} \times 2\sqrt{3} \times 2[/tex]

[tex]Area = 2\sqrt{3} \: {cm}^{2} [/tex]

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

Answers

Answer:

ΔADB~ΔCDB; SAS~

Step-by-step explanation:

Due to the tick marks on AD and DC, we know that those sides are congruent

We also know that the angle D is congruent due to the marks

As they share line BD, that side is also congruent.

This means that we have a side, an angle, and another side.

This leaves us with the last two options

The only difference between them is what angle corresponds to which

In the case of this triangle, A and C correspond with each other and B and D are shared. This means we are looking for when the locations of A and C, and B and D are matched

This would mean that the 4th option

ΔADB~ΔCDB; SAS~

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