find distance between the points (-3,-2) and (-1,-2)

Answer:

H'(15, - 7)

Step-by-step explanation:

Given the translation < 10, - 11 >

Add 10 units to the x- coordinate of H and subtract 11 units from the y- coordinate of H, that is

H(5, 4) → H'(5 + 10, 4 - 11) → H'(15, - 7)

H’(15;-7) is my answer for your question

The area of a triangle △ABC with side lengths a, b, c and height h is shown to be equal to 1/2 ab sin C using the triangle area formula, definition of sine in right triangles, multiplication property of equality and commutative property of multiplication.

In the triangle ​△ABC ​ with side lengths a, b, and c, and height h, we can start with the triangle area formula, which is Area = 1/2 bh. Here, h denotes the height of the triangle, which when drawn from the angle C would be adjacent to the angle while b represents the side that is opposite to the angle C. By the definition of sine in right-angled triangles, sin C = h/a. Now, we can use the Multiplication Property of Equality to write asinC=h. Mixing the given formula of the area with this equality, we get Area=1/2 ba sin C. As the multiplication is commutative, we can re-write this as Area = 1/2 ab sin C.

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To prove the area of a triangle, use the formula 1/2 base × height and substitute sin C with h/a.

To prove that the area of △ABC is equal to 1/2 ab sin C, we can use the formula for the area of a triangle: Area = 1/2 base × height. In this case, the base is b and the height is h, so the area is 1/2 bh. We also know that sin C = h/a, so we can substitute h/a for sin C in the area formula to get Area = 1/2 ab sin C.

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Answer:

x = 2

Step-by-step explanation:

A line with an undefined slope indicates that the line is vertical and parallel to the y- axis.

The equation of a vertical line is

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (2, 5) with x- coordinate 2, hence

x = 2 ← equation of line

Since it is not perfectly straight it’s not linear so

*nonlinear association

The line goes down not up so it’s

*negative association

If your teacher wants to count the point outside of the regular line it would be no association

The two that most fit this graph are nonlinear and negative association

Answer:

There is a non linear association and negative association between variable A and B.

Step-by-step explanation:

A nonlinear relationship between two entities indicates that a change in one entity does not correspond with the constant change in the other entity.

Here, we can see the scatter plot that shows a non linear relationship.

There also exists a negative association between variable A and variable B. We can see that B increases as A increases, but points do not lie on a straight line.

Therefore, there is a non linear association and negative association between variable A and B.

Answer:

1/26

Step-by-step explanation:

there are 4 jacks in a deck and one heads on a coin. So you take 4/52 and mutiply it by 1/2 and get 1/26

Mark has a standard deck of 52 cards and a fair two-sided coin. What is the probability that he will pull a jack from the deck of cards and toss the coin to land on heads?

( C. 1/13 )

Answer:

c

Step-by-step explanation:

a and b ar out because suplementry angels are 180 so its just c and d

When parallel line are cut by a traversal line,

Then corresponding angles are congruent.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

The parallel lines are cut by a traversal line.

(A) The sum of the degree measure of complementary angles is 180 degrees.

This is a contradictory statement.

Because, the sum of the degree measure of supplementary angles is 180 degrees.

(B) The sum of the degree measure of corresponding angles is 180 degrees.

This is a contradictory statement.

Because, the sum of the degree measure of supplementary angles is 180 degrees.

(C) Corresponding angles are congruent.

This is a true statement.

(D) The angles in a vertical pair are acute

This is also ca contradictory statement.

Therefore, corresponding angles are congruent.

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option A is correct, the range of the temperature data in degrees Fahrenheit is 15°F.

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.

Scatter plots are the graphs that present the relationship between two variables in a data-set.

The scatter plot represents the average daytime temperatures recorded in New York for a week.

The highest temperature in a week from the scatter plot is 45°F.

The  lowest temperature in a week from the scatter plot is 30°F.

Range is the difference between the highest temperature and lowest temperature.

Range=45°F-30°F

=15°F

Hence, option A is correct, the range of the temperature data in degrees Fahrenheit is 15°F.

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Answer:

D ≈ 14.32 cm

Step-by-step explanation:

C = 2πR, or C=πD

D=C/π = 45/π ≈ 14.32 cm

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex]

Similarly

[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex] = 1 [tex]\frac{2}{3}[/tex]

Answer:

The number that best summarizes the data is 2 hits.

The best measure of center is the median.

Step-by-step explanation:

Since there are 25 players represented in the data, the median would be the 13th, or middle, number when the data is ordered from least to greatest.

0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,5,5,6,6

best summaries the data is 2 hits

center is the median

Answer:

"Number of", Mean

The density of maple trees per square kilometer for the cosidered rectangular patch of land is 283 maple trees/sq. km approximately.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

For this case, we're specified that:

Density of trees will be expressed in terms of number of trees per unit area

Area of the considered land = [tex]3 \times 4 = 12 \: \rm km^2[/tex]

Thus, the density of the maple trees in terms of maple trees per sq. kilometers is:

[tex]D = \dfrac{3400}{12} = 283.3\overline{3} \approx 283 \: \rm \text{maple trees/sq. km}[/tex] (approximated to integers as trees cannot be in decimal).

Thus, the density of maple trees per square kilometer for the cosidered rectangular patch of land is 283 maple trees/sq. km approximately.

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Answer:

$347.03

Step-by-step explanation:

$1029 * (1/3) = $343    (Discounted Price)

$343 * 0.95 = $325.85 (With the extra 5% discount you only pay 95%)

$325.85 * 0.065 = 21.18 (Sale Tax)

$325.85 + 21.18 = $347.03 (Added Sale Tax)

Answer:

$347.03

Step-by-step explanation:

Hope that helped

Answer:

(C) 38 cm²

Step-by-step explanation:

Top length = 6 cm

Bottom length = 5 + 8 = 13 cm

Area

= 1/2 ( 6 + 13) (4)

= 1/2(19)(4)

= 38 cm²

The area of the trapezoid is 38 cm2.

Answer:

200ml of toothpaste for 50p

Step-by-step explanation:

200/50=4

and

400/90=4.4444444444444444 (4.45 rounded up)

So, you would be getting more bang for your buck with 200ml for 50p

Hope this helps!

Answer:

D

Step-by-step explanation:

A does not work, because you stop on the way to the meeting (which you don't)

B does not work, because you speed up on the way to the meeting, when in reality you slow down

C does not work, because it does not show that you went back home or changed speed at all

D is correct!

Answer:

D

Step-by-step explanation:

Answer:

Option D is correct.

Step-by-step explanation:

[tex]\frac{\sqrt[3]{5}\sqrt{5}}{\sqrt[3]{5^5} }[/tex]

We need to solve this equation.

We know that √ is equal to 1/2 and ∛ is equal to 1/3 so solving the question:

[tex]=\frac{5^{1/3}X5^{1/2}}{5^{5/3}}[/tex]

We can add powers if the bases are same and numbers are multiplied.

[tex]=\frac{5^{1/3 +1/2}}{5^{5/3}}\\=\frac{5^{5/6}}{5^{5/3}}\\[/tex]

We can subtract powers if the bases are same and numbers are divided.

[tex]=5^{5/6-5/3}\\=5^{-5/6}[/tex]

So, Option D is correct.

Answer:

B. Thermohaline circulation

Step-by-step explanation:

Thermohaline circulation is driven by global density gradients which are created by the surface heat and fluxes of fresh water, as a part of the large scale ocean circulation.

Answer:

B. Thermohaline circulation

Step-by-step explanation:

[tex]\((-5)(-4) - 6 - 4(6) = -10\)[/tex]

Certainly! To evaluate the expression [tex]\((-5)(-4) - 6 - 4(6)\)[/tex], follow these steps:

Multiply the first set of parentheses:

[tex]\((-5)(-4) = 20\)[/tex]

Subtract the result from step 1 from the second term:

[tex]\(20 - 6\)[/tex]

Multiply the number 4 by 6:

[tex]\(4 \times 6 = 24\)[/tex]

Subtract the result from step 3 from the result in step 2:

[tex]\(20 - 6 - 24\)[/tex]

Now, combine the terms:

[tex]\[20 - 6 - 24 = -10\][/tex]

The probability that Jase makes an A given that he studies for the geometry test is [tex]\(\frac{68}{75}\)[/tex].

Let's denote the event that Jase studies for the geometry test as [tex]\(S\)[/tex] and the event that he makes an A as [tex]\(A\)[/tex].

The probability that Jase studies for his geometry test is given as [tex]\(P(S) = \frac{15}{16}\)[/tex].

The probability that Jase studies and makes an A is given as [tex]\(P(S \cap A) = \frac{17}{20}\).[/tex]

To find the probability that he makes an A given that he studies [tex](\(P(A|S)\))[/tex], we use the conditional probability formula:

[tex]\[ P(A|S) = \frac{P(S \cap A)}{P(S)} \][/tex]

Substitute the given values:

[tex]\[ P(A|S) = \frac{\frac{17}{20}}{\frac{15}{16}} \][/tex]

To divide by a fraction, multiply by its reciprocal:

[tex]\[ P(A|S) = \frac{17}{20} \times \frac{16}{15} \][/tex]

Simplify the expression:

[tex]\[ P(A|S) = \frac{17 \times 16}{20 \times 15} \][/tex]

[tex]\[ P(A|S) = \frac{272}{300} \][/tex]

Now, simplify the fraction:

[tex]\[ P(A|S) = \frac{68}{75} \][/tex]

So, the probability that Jase makes an A given that he studies for the geometry test is [tex]\(\frac{68}{75}\)[/tex].

Answer:

The equation of the graph below is y = 0.5 csc[0.5(x + π/2)] - 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the trigonometry transformation

- If the equation is y = A csc(B(x + C)) + D

# Amplitude is A

- The Amplitude is the height from the center line to the peak .

  Or we can measure the height from highest to lowest points and

  divide that by 2

# period is 2π/B

- The Period goes from one peak to the next

# phase shift is C (positive is to the left)

- The Phase Shift is how far the function is shifted horizontally

  from the usual position.

# vertical shift is D

- The Vertical Shift is how far the function is shifted vertically from

 the usual position.

- If y = csc(x)

∴ A = 1 , B = 1 , C = 0 , D = 0

- That means the amplitude is 1, the period is 2π, no phase shift

 or vertical shift

* Now lets solve the problem

- From the graph

# The amplitude = (-0.5 - -1.5)/2 = 0.5

∴ A = 0.5

# The period is from 2.5π to -1.5π

∴ The period is 4π

∵ The period = 2π/B

∴ 4π = 2π/B ⇒ by cross multiplication

∴ B = 2π/4π = 1/2 = 0.5

* There is only one answer has A = 0.5 and B = 0.5

∴ y = 0.5 csc[0.5(x + π/2)] - 1

* The equation of the graph below is 0.5 csc[0.5(x + π/2)] - 1

* For more understand look to the color graph

- The blue graph is y = csc(x)

- The green graph is y = 0.5 csc[0.5(x + π/2)] - 1

Answer:

C. y = 0.5csc [0.5 (x + pi/2)] - 1

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps!

Step-by-step explanation:

The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.

When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.

h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}

Domain of h(x) is: {3, 5, 6, 10, 12}

Range of h(x) is: (5, -7, -9, -12, 16}

So,

Domain of [tex]h^{-1}(x)[/tex] = Range of h(x) = (5, -7, -9, -12, 16}

Range of [tex]h^{-1}(x)[/tex] = Domain of h(x) = {3, 5, 6, 10, 12}

Therefore, [tex]h^{-1}(x)[/tex] will be represented as:

{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}

It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.

B, because 2/5 is the same as 20/50. Hope that helps!

Answer:

B  2/5

Step-by-step explanation:

The experimental probability of tails is the number of tails of the total number of tries

P (tails) = 20/(20+30)

             =20/50

            =2/5

Answer:

The distance between Amanda and the helicopter be x

cos 60  = x / 4000

x = 4000 ×  cos 60 

 = 4000 × 1/2

 = 2000 feet

Step-by-step explanation:

The distance between Jeremiah and the helicopter is given by the trigonometric relation and d = 2000 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The distance between Amanda and Jeremiah = 4000 feet

Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°

So , from the trigonometric relations ,

cos θ = adjacent / hypotenuse

cos 60° = d / 4000

Multiply by 4000 on both sides , we get

d = ( 4000 ) ( 1/2 )

d = 2000 feet

Hence , the distance is 2000 feet

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The complete question is attached below :

Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°. What is the distance between jeremiah and the helicopter? Round to the nearest feet

Answer:

a) $1850

b) 3.7%

Step-by-step explanation:

a) This is a straight calculation based on the description in the problem statement.

2%×$50,000 +850 = $1000 +850 = $1850

__

b) To find the percentage of income saved, find the ratio of savings to income and multiply that by 100%.

$1850/$50,000×100% = 3.7%

Answer:

Part A: $1850

Part B : 3.7%

Step-by-step explanation:

Due to temporary tax cuts in 2010, a person with typical deductions earning $50,000 per year would have saved 2% of their income plus $850 in federal taxes.

Part A:

Total savings will be = [tex](0.02\times50000)+850[/tex]

= [tex]1000+850=1850[/tex] dollars

Part B:

The percent did this person save on her income will be = [tex]\frac{1850}{50000}\times100= 3.7[/tex]%

Answer:

5. 77.32°

6. 54.46°

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

I find the mnemonic SOH CAH TOA to be extremely helpful for problems like this. It reminds you ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

___

Based on your notes of problems 5 ad 6, I'd say you need to be a little careful of notation. The relationship between angles and side ratios is ...

• TrigFunction(angle) = ratio . . . . . . . . trig functions are sin, cos, tan, csc, sec, cot

• InverseTrigFunction(ratio) = angle . . . inverse trig functions are arcsin, arccos, arctan, arccsc, arcsec, arccot. These are also written with a -1 superscript, for example, sin⁻¹ for arcsin.

__

5. sin(x°) = 40/41 . . . . . . . . . . . . opposite/hypotenuse

x° = arcsin(40/41) ≈ 77.32°

__

6. tan(x°) = 7/5 . . . . . . . . . . . . . . opposite/adjacent

x° = arctan(7/5) ≈ 54.46°

__

7. tan(39°) = 11/x

x = 11/tan(39°) . . . . . . . . . multiply both sides of the equation by x/tan(39°)

x ≈ 13.6

__

8. cos(46°) = x/28

x = 28·cos(46°) ≈ 19.5

__

9. tan(51°) = 8/x

x = 8/tan(51°) ≈ 6.5 . . . . . solve as in problem 7

__

10. sin(24°) = x/31

x = 31·sin(24°) ≈ 12.6

Answer:

see explanation

Step-by-step explanation:

(a)

Using the relationship

distance = speed (s) × time (t) ← speed is rate of change, then

speed = [tex]\frac{distance}{time}[/tex], thus

[tex]\frac{54}{0.75}[/tex] = 72

[tex]\frac{216}{3}[/tex] = 72

[tex]\frac{252}{3.5}[/tex] = 72

[tex]\frac{432}{6}[/tex] = 72

[tex]\frac{576}{8}[/tex] = 72

Thus rate of change is constant, hence

(b)

d = 72t ← explicit formula

C is the right answer

A because that’s the only logical

Answer:

-3 -3i

Step-by-step explanation:

Answer:

Option D : 86.7% is the answer.

Step-by-step explanation:

Given information is :

A farmer grows vegetables on 7 acres of land.

He grows fruit on 6 acres of land.

And he grows flowers on 2 acres of land.

Total farming acres are = [tex]7+6+2=15[/tex] acres.

Now, we have to find what the theoretical probability that the ladybug was not found within the acres of flowers. This means it was not found in 2 acres of land. It must have been in 13 acres of land.

So, probability will be : [tex]\frac{13}{15} \times100[/tex] = 86.66% ≈86.7%

Therefore, option D is the answer.

Answer: d

Step-by-step explanation:

Answer:

Slope is 0

Step-by-step explanation:

y-2/3=0

y=2/3

There is no x value?