Need help with this math question

Need Help With This Math Question

Answers

Answer 1

Answer:

x = 3.1 ft

Step-by-step explanation:

Use Pythagoras' Theorem to find the base of the triangle. The base of the triangle is half of 'x'. Let's call the base 'y' for now.

To find 'y' we must use this formula,

[tex]y^{2} = c^{2} -b^{2}[/tex]

'c' is the hypotenuse, the longer side, and 'b' is the other short side.

Sub in the numbers for 'c' and 'b',

[tex]y^{2} = 2.1^{2} -1.4^{2}[/tex]

               = 2.45

Square root both sides to get 'y' by itself,

y = 1.5652.....

Remember that 'y' is half of x? Simply multiply 'y' by 2 to get an answer for 'x',

x = 1.5652.... x 2

  = 3.1 ft (1 d.p. nearest tenth)

Hope this helped!!


Related Questions

A dragonfly traveled a rate of 35 miles per hour for 2.5 hours what distance did the dragonfly travel

Answers

Multiply the speed by the time:

35 miles per hour x 2.5 hours = 87.5 miles total.

Answer: 87.5 miles

Step-by-step explanation:

35 miles per 1 hour

35 * 2.5 = 87.5

Need help with a math question

Answers

Answer:

72%

Step-by-step explanation:

You are looking at graduate students.  There are 2610 of them.

Of those graduates 1879 have financial aid.

So the probability of a graduate student having financial aid is 1879/2610.

Inserting this division into my calculator provides me with about 72%.

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not mixed number or decimal.

Answers

Answer:

The slope is:

[tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope m of a line is calculated using the following formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]  are two points belonging to the straight line

Notice in the graph that the line passes through the points

(0, 2) and (2, -1)

Then the slope is:

[tex]m=\frac{-1-2}{2-0}[/tex]

[tex]m=\frac{-3}{2}[/tex]

Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth.

7(^3x) - 1 = 5(^x - 1)
A. x ≈ 12.33
B. x ≈ -3.09
C. x ≈ 0.08

please help!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

Just graph these functions lol...

I am so stuck on this. I need your help.

Answers

You're gonna have to draw your own plot; let's fill in the table.

First let's count and sort the numbers;

2, 9, 10, 12, 14, 14, 15, 22, 32, 36, 43

n = 11

Median is the sixth one, in the middle:  14

Min: 2

Max: 43

Q1: For 11 points, the first quarter is between the 2nd and the 3rd: 9.5

Q3: Between 32 and 36: 34

Outlier? 43 maybe, hard to tell.

Mean: (2+9+10+12+14+14+15+22+32+36+43)/11 = 19

Range: from 2 to 43  

IQR: from 9.5 to 39.5

The mean doesn't get plotted in a box and whiskers plot.  The left whisker goes to the minimum, the left box Q1, the line through the box the median, the right box edge Q3, and the right whisker the maximum.

2.

I'm not really sure what they're talking about here, how about b for big blue squares, r for blue rectangles and s for small squares:

(5b + 6r + 10s) - (3b + 2r + 7s) = 2b + 4r + 3s

Match the following linear function to the corresponding graph

Answers

Answer:

a red graph

Step-by-step explanation:

slope is 5 and the y intercept is negative 2(the y intercept is where the line crosses the y axis) then you rise over run

Sarita has to solve the problem below for homework


2x+3y=25

4x+2y=22


Which variable should she choose to solve for so that she can use substitution to solve the system?


A. Sarita should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.


B. Sarita should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.


C. Sarita should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.


D. Sarita should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.

Answers

Answer:

Option A is correct.

Step-by-step explanation:

2x+3y=25

4x+2y=22

Option A

2y = 22-4x

y = 11 -2x

Option B

2x = 25 -3y

x = 25/2 -3/2y

Option C

3y = 25 - 2x

y = 25/3 -2/3x

Option D

4x = 22 - 2y

x = 22/4 -2/4y

x = 11/2 -1/2y

In Option B,C and D we have fractions and for substitution the calculations will be complex.

But Option A has no fractions and solving by putting the value of y in equation 1 is easy.

So, Option A is correct.

Answer:

A

Sarita should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.

Step-by-step explanation:

Find the lowest common denominator of the following fractions.


A.) 24y2
B.) 24(y2 - 1)
C.) 24(y2 - 1)(y + 1)

Answers

Answer:

  B.)  24(y² -1)

Step-by-step explanation:

The denominator of the first fraction is 2³(y +1).

The denominator of the second fraction is 2·3(y +1)(y -1).

The LCD is the product of the unique factors to their highest powers:

  2³·3·(y +1)(y -1) = 24(y² -1)

Answer:

B

Step-by-step explanation:

Find the point that lies on the following linear equation: y = -2x + 1.
( 3, 5 )
( 3, -5 )
( 3, 6 )
( 3, -6 )

Answers

Answer:

(3,-5

Step-by-step explanation:

x=3 y=-2*3+1=-5

(3,-5)
-5=-2(3)+1
-5=-6+1
-5=-5

If $625 is invested at an interest rate of 7% per year and is compounded continuously, how much will the investment be worth in 12 years? Use the continuous compound interest formula: A = Pert.

Answers

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$625\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &12 \end{cases} \\\\\\ A=625e^{0.07\cdot 12}\implies \implies A=625e^{0.84}\implies A\approx 1447.73[/tex]

The investment will be $1447.73 worth in 12 years.

What is continuous compound interest?

Continuous compounding exists the mathematical limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of terms. While this exists not possible in practice, the vision of continuously compounded interest stands important in finance.

Since, the amount formula is compounded continuously,

[tex]$$A=P e^{r t}$$[/tex]

Where,

P is the principal amount,

[tex]$\mathbf{r}$[/tex] is the rate per period,

t is the number of periods,

e is Euclid number,

Here, [tex]$P=\$ 625$[/tex],

[tex]$$r=7 \%=0.07 \text {, }$$[/tex]

t=12 years

Thus, the amount after 12 years would be,

[tex]$$A=625 e^{0.07 \times 12}=625 e^{0.84}=\$ 1447.72936049 \approx \$ 1447.73$$[/tex]

Hence, $1447.73 will the investment be worth 12 years.

To learn more about continuous compound interest refer to:

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3. The sides of an angle inscribed in a circle are

A. a diameter and a tangent.
B. a tangent and a radius.
C. two chords.
D. two radii.

Answers

Answer:

C.  two chords

Step-by-step explanation:

If the sides of an angle are inscribed in a circle that means that the endpoints of the sides of said angle lie on the circle.  That makes both of them chords.  

A diameter has to go through the center

A tangent is outside the circle

A radius comes from the center of the circle and meets the outside of the circle

Final answer:

The sides of an angle inscribed in a circle are two radii. These two radii connect from a single point on the circumference of the circle to two different points on the circumference.

Explanation:

In the field of Geometry, particularly in relation to circles, the sides of an angle that is inscribed in a circle constitute two radii. An inscribed angle is an angle formed by two lines (in this case, two radii) drawn from a single point on the circumference of a circle to two different points on the circumference. Therefore, the correct answer to the given problem would be option D, which states that the sides of an inscribed angle in a circle are two radii.

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please help asap giving brainliest to all of the questions i ask

I have to build a box for my scouting project with a volume of 36 cubic centimeters. The base of the box is 6 cm long and 2 cm wide.

How high should I build the box? in centimeters

Answers

Answer:

3 cm

Step-by-step explanation:

Volume = Length x Width x Height

given that the volume = 36 cm³ ,length = 6 cm and width = 2 cm

Height = volume / (length x width) = 36 / (6x2) = 3 cm

Answer:

Volume is length x width x height.

The base is 12. (2x6)

Then you do 36/12

Finally your answer is 3.

Step-by-step explanation:

The predicted values were computed by using the line of best fit, y = 3.2x + 2. What are the residual values needed to complete the chart? a = b = c = d =

Answers

Answer:a= 0.9, b= -1, c= -0.6, d= 0.2

Step-by-step explanation:

Answer:

A= 0.9

B= -1

C= -0.6

D= 0.2

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?


A. 3/7

B. 7/3

C. 10

D. 21

Answers

Answer:

  D.  21

Step-by-step explanation:

The equation tells you xy = k. Substituting the given values, you get ...

  7·3 = k

  21 = k

Answer:

D) 21

Step-by-step explanation:

The given inverse variation equation is x.y = k, where k is the constant of proportionality.

Given: x = 7 and y = 3.

We need to find the constant variation, k.

To find the constant variation, k, plug in x = 7 and y = 3 in the given equation and simplify.

k = 7*3

k = 21.

Therefore, the constant of variation k = 21.

Answer is D) 21.

PLEASE HELP ME
CHOICE OPTIONS:
(7,5, 0.5)


(7, 0.5)


(7, 1)


(7, 0)

Answers

Answer:

(7, .5)

Step-by-step explanation:

From the origin, our intersection is 7 units to the right where x is positive, so x = 7.  It appears that we are between y values of 0 and 1 at x = 7, so the coordinate that best represents the solution is (7, .5)

Type the correct answer in each box. The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches

Answers

Answer:

5 is the width and 7 is the length

Answer:

x=5 in (Width)

x+2=5+2=7 in (Length)

Step-by-step explanation:

You are given the equation 2x+2(x+2)=24 to solve for x where x is the width.

First step, use distributive property 2x+2x+4=24

Second step, subtract 4 on both sides  and combine the like terms on the left hand side: 4x=20

Divide both sides by 4:  x=20/4

So x=5 in

And since length is 2 more than the width so the length is 2+5=7 in

NEED HELP

Find the value of X

Answers

Answer:

88°

the total angle of hexagon is 720°

so 720-(120+120+172+125+95)=88

The total number of degrees in a hexagon is 720.

x + 172 + 120 + 95 + 120 + 125 = 720

x + 632 = 720

x = 720 - 632

x = 88

Identify the transformation that appears to be a reflection. HELP ASAP!!

Answers

Answer: the first option

Step-by-step explanation:

A reflection means that the object is flipped.

Final answer:

A reflection is a transformation that flips a shape over a line, creating a mirror image. You identify a reflection by looking for a shape which appears to have been flipped across a line.

Explanation:

In mathematics, a reflection is a type of transformation that flips a shape over a line, creating a mirror image. To identify a reflection, you should look for a shape that appears to be flipped over a line. This line is called the line of reflection. For example, if you have a triangle ABC and its image A'B'C' such that A'B'C' is a mirror image of ABC, this is a reflection. The point A is reflected over the line to point A', B to B', and C to C'. The distances from the line of reflection to A, B, and C are equal to the distances from the line to A', B', and C' respectively.

Learn more about reflection here:

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Maria found the least common multiple of 6 and 15. Her work is shown below. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . . Multiples of 15: 15, 30, 45, 60, . . . The least common multiple is 60. What is Maria's error?

Answers

Answer:

she overlooked 30

Step-by-step explanation:

The number 30 appears on both her lists. Maria apparently overlooked that value.

Neoli is a nurse who works each day from 8:00 am to 4:00 pm at the blood collection centre. She takes 45 minutes for her lunch break. On average, it takes Neoli 15 minutes to collect each sample and record the patient's details. On average, how many patients can Neoli see each day?

Answers

Answer:

29

Step-by-step explanation:

Neoli can see 4 patients in an hour. (60 min)/(15 min) = 4

In the 8-hour work day, with no break, she could see (8 h)×(4 patients/h) = 32 patients.

However, her lunch break takes a time that is equivalent to the time for 3 patients.

Neoli can see 32 -3 = 29 patients per day on average.

A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants of a circle at each corner. If the area of the remaining field is 9055, find the radius of each skating rink. Also, find the cost of cementing the skating rinks at $2.50 per square yards. Use (pie=3.14).

Answers

Answer:

radius = 30 ydcost of cement = $7065

Step-by-step explanation:

First we find the area of the circular sectors. From that we can find the cost of cement and their radius.

The area of the playground is ...

  playground area = (109 yd)^2 = 11,881 yd^2

Then the area of the skating rinks is ...

  rink area = playground area - remaining field

  rink area = 11,881 yd^2 - 9,055 yd^2 = 2,826 yd^2

Then the cost of cement for the rink area is ...

  (2826 yd^2)($2.50/yd^2) = $7065

__

The four quarter-circle skating rinks add to a total area of a full circle. That area is given by ...

  A = πr^2

Substituting what we know, we have ...

  2826 = 3.14r^2

  900 = r^2 . . . . . . . . divide by 3.14

  30 = r . . . . . . . . . . . take the square root

The radius of each quadrant is 30 yards.

In the final round of trivia competition, contestants were asked to name as many states that begin with the letter M as they could in 15 seconds. The bar graph shows the number of states the contestants were able to name. How many contestants participated in the final round of the competition?
A) 6
B) 8
C) 14
D) 20

Answers

Answer:

  D)  20

Step-by-step explanation:

The sum of the heights of the bars (numbers of contestants) is ...

  1 + 1 + 5 + 6 + 4 + 2 + 1 = 20

The correct answer is A) 6.

To determine the number of contestants who participated in the final round of the competition, we need to analyze the bar graph provided in the question. Since the actual bar graph is not available in the text, we will assume that the number of states named by each contestant is represented by a separate bar in the graph.

 The question states that the contestants were asked to name as many states that begin with the letter M as they could. The states that begin with the letter M are Montana, Minnesota, Missouri, Mississippi, Massachusetts, and Michigan. There are a total of 6 such states

Given that there are 6 states that start with the letter M, the maximum number of states any contestant could have named correctly is 6. Therefore, each contestant is represented by a bar on the graph that corresponds to the number of states they were able to name, with the maximum possible value being 6.

Since the question asks for the number of contestants and we have established that there are 6 states beginning with the letter M, it follows that there must be 6 bars on the graph, each representing one contestant. Thus, 6 contestants participated in the final round of the competition.

 In conclusion, by understanding the context of the question and the constraints provided (the number of states beginning with the letter M), we can deduce that the number of contestants who participated in the final round is equal to the number of states that start with the letter M, which is 6. Hence, the correct answer is A) 6.

PLEASE HELP ASAP 40 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Answers

Answer:

-5

Step-by-step explanation:

∛-25 × ∛5

= ∛-75

= ∛(-5)^3

= - 5

Answer:

a

Step-by-step explanation:

(-25)^⅓ × 5^⅓

(-25 × 5)^⅓

(-125)^⅓

(-5)³^⅓

-5

HELP WITH THIS LDC EQUATION PLEASE

Answers

Answer:

  x = -11

Step-by-step explanation:

It is convenient to use 3·4 = 12 as a common denominator. That is, we can clear the fractions by multiplying the equation by 12.

  12(x +1)/2 -12(x +2)/3 = 12(x +3)/4

  6x +6 -4x -8 = 3x +9 . . . . . . simplify

  2x -2 = 3x +9 . . . . . . . . . . . . collect terms

  -11 = x . . . . . . . . . . . . . . . . . . add -9-2x

_____

Check

  (-11+1)/2 -(-11+2)/3 = (-11+3)/4 . . . . substitute -11 for x in the original

  -10/2 - (-9/3) = -8/4 . . . . . . . . . . . . simplify

  -5 +3 = -2 . . . . . . . . . . true

People who have a college degree tend to live longer than those who do not have a college degree. This is true for both men and women, and it is true across many different ethnicities and in many different geographical regions. This phenomenon is easily explained because it has been proven that people who have attended college have lifestyles and habits that are well known to increase lifespan: they eat balanced meals, they exercise often, they consider themselves happy, and they tend to have strong relationships. Therefore, if you want to have a longer lifespan, you should get your college degree.Which of the following, if true, weakens the argument above?a) Some people who attend college do not get their college degree.b) People with those four habits and lifestyles are more likely to go to college than those without them.c) People with college degrees tend to have more heart attacks than those without one.d) Women tend to live much longer than men do.e) People from certain geographical regions and certain ethnicities tend to have longer lifespans.

Answers

Answer:

pepple with college degree live longer

Step-by-step explanation:

people with college degree live longer because they get to have a good job wich gives good income

Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality.

Answers

Answer:

  all points in the 1st and 3rd quadrants (not including the x- and y-axes).

Step-by-step explanation:

The product of positive numbers will be greater than 0, as will the product of two negative numbers. Both coordinates are positive in the first quadrant; both are negative in the third quadrant.

The quadrant boundaries, x=0, y=0, are excluded from the solution set.

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of whyrot be​ arranged? identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Answers

Step-by-step explanation:

There are six unique letters.  Any of the six could be the first letter.  Once we've picked a first letter, that leaves 5 letters that could go second.  So on and so forth.  So the number of ways they can be arranged is:

6×5×4×3×2×1 = 720

The correct unscrambling is "worthy".  So the probability of randomly selecting this order from the 720 possible combinations is 1/720.

Find the x- and y-intercept of Y

Answers

Answer:

Step-by-step explanation:

x intercepts include

(-1/2,0)

y intercepts include

(0,-3)

Hope that Helps!

Use the definition of continuity to determine whether f is continuous at a. f(x) = 5x4 - 9x3 + x - 7a = 7

Answers

We have [tex]f(7)=8918[/tex]. By the definition of continuity, we require that

[tex]\displaystyle\lim_{x\to7}f(x)=f(7)[/tex]

So for any [tex]\varepsilon>0[/tex], we want to find sufficient [tex]\delta[/tex] for which

[tex]0<|x-7|<\delta\implies|f(x)-8918|<\varepsilon[/tex]

We have

[tex]|5x^4-9x^3+x-7-8918|=|5 x^4 - 9 x^3 + x - 8925|=|x - 7||5 x^3 + 26 x^2 + 182 x + 1275|[/tex]

Suppose we let [tex]0<\delta\le1[/tex]. Then

[tex]|x-7|\le1\implies x\le8[/tex]

so that

[tex]|5 x^3 + 26 x^2 + 182 x + 1275|\le5|x|^3+26|x|^2+182|x|+1275\le6955[/tex]

[tex]\implies|5x^4-9x^3+x-7-8918|\le6955|x-7|<\varepsilon[/tex]

[tex]\implies|x-7|<\dfrac\varepsilon{6955}[/tex]

which suggests that it suffices to choose

[tex]\delta=\min\left\{1,\dfrac\varepsilon{6955}\right\}[/tex]

in order to meet the required condition.

Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?

8,000 + 24x
8,000 - 24x
8,000 + 2x
8,000 - 2x

Answers

Answer:

8,000 - 24x

Step-by-step explanation:

Let

y ----> depreciated value of the car

x---> rate of depreciation

t ----> the time in months

we know that

The linear equation that represent this situation is

y=8,000-xt

For

t=2 years=2*12=24 months

substitute

y=8,,000-x(24)

y=8,000-24x

Answer: 8,000 - 24x

Step-by-step explanation:

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