A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?

Answer:

Hey there!

Your answer is c)

Answer:

2√5

Step-by-step explanation:

The triangle that's shown on the page is a special isosceles right triangle with angle measures of 45° - 45° - 90°

Since one of the side length that sees 45° angle measure is 2√5 the other also has to be equal to this value so the answer is 2√5

Answer:

15x - 70 = 500

Step-by-step explanation:

Answer:

4.a

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

The area given:

a. The height is the factor of the area:

The width is x - 3, so the height is x - 5

b. The perimeter formula:

The height of the wall is 8 ft:

The perimeter is:

The line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.

Given that a scatter plot of median household income x and the number of adults per 1,000 people with bachelor's degrees y for 50 U.S. states. The line y = 4.08x + 63.13 is suggested to be a good fit for this data.

To understand why this line is a good fit, to consider its equation. In this case, y represents the number of adults per 1,000 people with bachelor's degrees, and x represents the median household income in thousands of dollars.

The equation of the line is y = 4.08x + 63.13. This means that for every increase of $1,000 in median household income, the number of adults with bachelor's degrees increases by 4.08 per 1,000 people. The intercept of the line is 63.13, which represents the number of adults with bachelor's degrees when the median household income is $0.

By analyzing the scatter plot, we can see that the points are roughly linear and show a positive correlation between median household income and the number of adults with bachelor's degrees. The line represents the best fit for this data because it minimizes the distance between the line and the points on the scatter plot.

Hence, the line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.

Learn more about Line here:

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Answer:

its the second one

Step-by-step explanation:

1. starting point of the domain ( x-axis ) is 0

2.ending is at 3

Answer:

2

Step-by-step explanation:

base is 2 times larger

Answer:

2

Step-by-step explanation:

Hope this helps please tell me if anything is wrong!!

Answer:

a=4

Step-by-step explanation:

5a-8=8+a

4a-8=8

4a=16

a=4

Answer:

35 units

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you just add together the lengths of each of its 3 sides

the length of hypotenuse, I found using theorem of pythagoras

Divide the number by your guess. Now you have two numbers that multiply to get your original number. Take the average of these two numbers. This becomes your second guess for the square root.

Answer:

you can find it with do its LCM.

Answer:

A

Step-by-step explanation:

Answer:

J probably

Step-by-step explanation:

When multiplying the rectangle's sides by 1.5 you get the rectangle F.

When multiplying the sides by 1/4 you get G.

When multiplying by 1.25 you get H.

To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.  

Answer:

a^5

Step-by-step explanation:

( thats a to the 5th power. )

Answer:

a5

Step-by-step explanation:

Answer:

3(2x + 5)

Step-by-step explanation:

What numbers go into both 6 and 15? What number is the largest of those numbers? The answer to both questions is 3, therefore we factor out the 3 using the distributive property

Answer:

It is 3(2x+5)

Step-by-step explanation:

Hope you get it right

Answer:

31

Step-by-step explanation:

Step-by-step explanation:

the right side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

the left side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

Answer:

28 girls and 40 boys

Step-by-step explanation:

68/17=4

4*7=28

4*1=40

Answer:

we need full question

Step-by-step explanation:

Answer:

Jared did not get the correct answer. The solution to his equation is k = 3, giving 3, 4, and 5 as the three integers. However, 3 and 5 are not even integers. He should have used the equation:

[tex]\displaystyle k+(k+2)+(k+4) = 4k[/tex],

which gives us k = 6, and the correct answer 6, 8, and 10.

Step-by-step explanation:

Jared wanted three consecutive even integers, whose sum is 4 times the first integer.

He let k represent the first integer and wrote:

[tex]k+(k+1)+(k+2)=4k[/tex]

We can solve this first. Combine like terms:

[tex]3k+3=4k[/tex]

So:

[tex]k=3[/tex]

This means that our sequence will be 3, 4, and 5, which is not correct since we have odd integers.

Jared did not get the correct answer. The solution to his equation is k = 3, giving 3, 4, and 5 as the three integers. However, 3 and 5 are not even integers. He should have used the equation*:

[tex]\displaystyle k+(k+2)+(k+4) = 4k[/tex],

which gives us k = 6**, and the correct answer 6, 8 , and 10.

To verify, 6 + 8 + 10 = 24.

And 6(4) = 24, so our answer is correct.

**To solve, we can combine like terms:

[tex]3k+6=4k[/tex]

So:

[tex]k=6[/tex]

*The reason we use (k + 2) instead of (k + 1) is because (if k is an even number), then adding 2 guarantees another even number. If we added only 1, we will get odd numbers.

Answer:

Step-by-step explanation:

2r+4<8

subtract 4 from both sides

2r<4

divide by two

no need to reverse the sign since you are not dividing by a negative number

r<2

Answer:

12

Step-by-step explanation:

Answer:

should be C

Step-by-step explanation:

Answer:

20.78 cm^3 to the nearest hundredth.

Step-by-step explanation:

Volume = 1/3 * a * h    where a = area of triangular base and h = the height.

The area of the triangle

= 1/2 * base * height

Its height = √(10^2-5^2)

= √75.

So its area = 1/2 * 10 * √75

= 5√75

So for the pyramid we have:

300 = 1/3 *  5√75 * h

h = 300 /  (1/3 *  5√75)

= 20.78 cm^3.

Answer:

5 gallons is 1/10 of 50 gallons; this is 10%

30 gallons is 30/50 or 60%

45 gallons is 45/50 or 90%

100 gallons is  200%

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

We don't know how many thier people there are and we don't know how long until a person gets through

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

Answer:

Cannot be determined

Step-by-step explanation:

You cannot assume the function travels down infinitely, because the function is not given to you. The graph could go up down left or right for all you know, you just cannot see it.

Answer:

The variable h

Step-by-step explanation:

Here, we want to get the variable that an expression should be substituted for

The correct answer is the variable y

we substitute the value we have for y in the first equation for the y value in the second equation

Answer: d=2

Step-by-step explanation:

Given

5+2d=9

Subtract 5 on both sides

5+2d-5=9-5

2d=4

Divide 2 on both sides

2d/2=4/2

d=2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a - 23,750 bulbs

Step-by-step explanation:

950 x 25 = 23,750

Answer:

-225

Step-by-step explanation:

A withdraw means taking out -225  dollars