A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 250 feet, what is the height of the building?

250 ft

50 ft

Answers

Answer 1

Answer:  244.95 feet

Step-by-step explanation:

This scenario forms the shape of a right angled triangle with the shadow length being the triangle's length and the distance between the end of the shadow to the top of the building being the hypotenuse.

Use Pythagorean theorem:

c² = a² + b²

250² = 50² + b²

62,500 = 2,500 + b²

b²= 62,500 - 2,500

b² = 60,000

b = √60,000

b= 244.95 feet


Related Questions

What is the solution to this system of equations?
Y=3x+12
Y=-2x+2

A. (3,-1)
B. (-2,6)
C. (6,-2)
D. (-1,3)

Answers

Answer:

B

Step-by-step explanation:

3×-2+12=6 and -2×-2+2=6. You could also do it in a calculator it you want to found out if it true. But the Answer will be B

Hope this Help

B
Because 3x+12 equals

is 0.09kg greater than 6g

Answers

Answer:

Yes

Step-by-step explanation:

0.09kg = 90g

90g > 6g

Hi there!

yes..

1.Find how much is 0.01kg:

[tex]0.01=10[/tex]

Now we know that 0.09 is in fact greater than 6g..

2.Multiply it by 0.09:

[tex]10[/tex]·[tex]9=90[/tex]

Therefore, 0.09kg is greater 6g..

0.09kg>6g

whats is x − 2 /3 = 1 5 /6??

Answers

answer: 2 1/2
explanation: 1 5/6= 11/6 ; 11/6 + 2/3= 5/2 ; 5/2= 2 1/2

find the value of x for the question shown above​

Answers


hint; the sum of all angles in a triangle is 180° !

^so all together it’s gonna be 180 !

hope this helped !

i’m pretty sure the value of it (x) is 12 but am not sure

what is the slope of the line wuth the equation 2x-3y=4​

Answers

Answer:

Really dude?

Ok

In form ax + by = c

The slope is equal to (-a/b)

And in this equation b is - 3 and a is 2 so

Slope is equal to 2/3

it is 2/3 that’s is the answer have a great rest of your day

HELP ME PLS ! 20 POINTS

You are biking down a hill. Your bike has tires with a radius of 12 inches. If
you travel 50 feet down the hill, how many times did your tires rotate?

Answers

Answer:

600 times

Explain Your Answer:

50ft x 12in = 600 times
600 times!!!! Your welcome

Please please please help

Answers

I believe it’s 80^, sorry if i’m wrong :)

the answer would be 100

Step-by-step explanation:

55+45=100 because all yout have to do is add angle A and angle B together

Write an equation using slope intercept form when m=4 and b=12

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

since you're given the values for m and b, all you need to do is plug those into the equation for slope-intercept form.

plug in 4 for m.

y = mx + b ⇒ y = 4x + b

plug in 12 for b.

y = 4x + b ⇒ y = 4x + 12

it doesn't matter which one you plug in first as long as you plug the value in for the correct variable.

the equation of your line in slope-intercept form is y = 4x + 12. i hope this helps! have a great day <3

A school gym has 4 basketballs, 5 soccer balls, and 11 tennis balls. What does the ratio 4/20 represent?

Answers

the basketballs

hope that helps^^

297-325 over 297
how can i turn that fraction into a percentage?

Answers

Answer:

Step-by-step explanation:

by moving the decimal 2 times to the right

-12+x= 23 I need help

Answers

Step-by-step explanation:

35

add 12 to both sides. x= 35

Answer:

-12 + x =23

x = 23 + 12

x = 35.................

.
1 4
Divide - 2 .
8 5
-65

Answers

Answer:

-69.91 to 2 d.p

Step-by-step explanation:

i think i am not sure

Write a multiplication equation that represents the question: how many 38s are in 54?

Answers

Answer:

The answer is 3 1/3.

Step-by-step explanation:

To find this answer, divide 5/4 by 3/8.

(5/4) / (3/8) = 5/4 * 8/3 = 40/12 = 10/3 or 3 and 1/3.

Proof:

10/3 * 3/8 = 30/24 = 5/4

If 5x-2=23, then find the value of x​

Answers

Answer:

x = 5

Step-by-step explanation:

5x = 2 + 23

5x = 25

x = 5

Hope that helps!

The value of x is 5 I think

a gym membership is advertised to cost 630 per year . what is the cost per mouth of the gym menbership

Answers

Answer:

52 1/2 OR 52.5

Step-by-step explanation:

You divide 630 by the number of months in a year, 12. 630 / 12 = 52.5. So the answer is 52.5 (Dollars, cents, whatever money label it is).

Hope that helps!

En un triángulo obtusángulo, uno de los ángulos mide 20° mas que el otro. El tercer ángulo, mide el doble que el mayor de los dos que hemos citado. ¿?Cuánto miden los ángulos de dicho triángulo

Answers

Answer:

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y  el tercer ángulo mide 100°.

Step-by-step explanation:

Siendo "x" el valor de un ángulo del triángulo obtusángulo, sabes que uno de los ángulos, llamado segundo ángulo, mide 20° más que el primero. Este segundo ángulo se representa como x + 20°.

Además, un tercer ángulo mide el doble que el mayor de los dos, que en este caso es el ángulo cuya expresión es x + 20°. Por lo que el doble de este será 2*(x + 20)°, que será la medida del tercer ángulo.

Teniendo en cuenta que la suma de los ángulos interiores de un triángulo es 180°. Entonces, es posible sumar los valores de cada uno de los ángulos e igualarlos a 180°:

x + x + 20° + 2*(x + 20°) = 180°

Resolviendo:

x + x + 20° + 2*x + 2*20° = 180°

x + x + 20° + 2*x + 40° = 180°

4*x + 20° + 40° = 180°

4*x + 60° = 180°

4*x = 180° - 60°

4*x = 120°

x = 120° ÷ 4

x = 30°

Entonces, la medida del primer ángulo es 30°. El segundo ángulo es calculado como x + 20° = 30° + 20° = 50° mientras que  el tercer ángulo es 2*(x + 20°) = 2*(30° + 20°) = 2*(50°) = 100°

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y  el tercer ángulo mide 100°.

Can someone help me please?

Answers

The answer is b bc the area of one cube is 57.76 so you multiply that by six bc there are six cubes. Once u do that you get 346.56 as the answer

What is 30% of $100?

Answers

Answer:

solution. :

30/100*$100

$30

SOME PLEASE ANSWER THIS AND SHOW HOW YOUR WORK THANK U!!!

Answers

Answer:

-6x^3y^-3

Step-by-step explanation:

6x-12x=-6x

5-2=3

y=y

-1-2=-3

-6x^3y^-3

Consider the quadratic expression given below.

4x^2 + 8x -60

Factor the following expression completely.

Answers

factor out 4
4(x^2 + 2x - 15)

to factor the equation inside the parenthesis, find two numbers that multiply to -15 and add to 2
those numbers are: 5 and -3

the answer is: 4(x+5)(x-3)

Solving One-Step Equations
Compute:
x = 10 = 8

Answers

Answer:

x = 2

Step-by-step explanation:

x = 10 = 8 | Given expression

x = 2 | Subtraction property of equality (Subtract 8 from 10.)

Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.

Answers

Answer:

Jane traveled 8 miles farther then her trainer

Step-by-step explanation:

The Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

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

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

[tex]c=\sqrt{16^2+12^2}[/tex]

[tex]c=\sqrt{256+144}=\sqrt{400}=20[/tex]

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

Are any of these trees an outlier?
An apple farmer randomly selected 28 trees and weighed the total of all the apples each produced. Here are the results measure in grams:

85, 87, 97, 109, 114, 88, 95, 100, 93, 67, 91, 130, 49, 118, 101, 95, 94, 99, 96, 99, 79, 109, 85, 118, 70, 104, 127, 135.

Answers

Answer:

49

Step-by-step explanation:

49 is the outlier because  it's the lowest number in the group of the other trees.

2. Which of the following is the correct interpretation of confidence interval? (circle one)
a. If the same experimental process is done on many samples, with a given percentage certainty,
the population parameter will fall within a calculated range.
b. When many different processes are done on the same sample, with a given percentage certainty,
the population parameter will fall within a calculated range.
c. If the same experimental process is done on many samples, with a given percentage certainty,
each sample will determine its own calculated range with a given percentage certainty
3. In a certain study, a population parameter is predicted to be in the interval (42, 60) at a 95% confidence
level. What is a reasonable confidence interval if the confidence level is adjusted to 98%
Explain your answer.

Answers

B. The answer is b hehehehhehsheus

Three number form a G.P if the first and third number are 5 and 245 respectively, find two possible value for middle number

Answers

Answer:

let the middle number be x

then

x/5 = 245/x

x^2 = 1225

x = ± 35

If f(x) = 3x - 15, what is f(4)?
A. 3
B. -3
c. 12
D. -8

Answers

Answer:

B. -3

Step-by-step explanation:

f(x) = 3x - 15

f(4) means x=4, so you want to plug 4 into the equation.

f(4) = 3(4) - 15

f(4) = 12 - 15

f(4) = -3

Answer:

B

Step-by-step explanation:

f(4) has the same meaning (for this question ) as x = 4

Let x = 4

f(4) = 3*4 - 15

f(4) = 12 - 15

f(4) = - 3

B

Can someone plz help me!?

Answers

The answer is:

f(x)=3x^2 - 2x + 5

Hope this helped :)

Solve for x

(5x-1) 8x

Answers

90 + (5x-1) + 8x = 180
90 + 5x - 1 + 8x = 180
89 + 5x + 8x = 180
89 + 13x = 180
13x = 91
x = 7

Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Which is the MOST reasonable estimate of the total cost of the movie including tax?




A $14:00
B $15:00
C $16:00
D $17:00

Answers

B is your answer for this question

Answer:

$16.00

Step-by-step explanation:

19.99 x .75 = 14.9925

14.9925 x 1.06 = 17.89205

The circumference of a circle is 144πft. What is the radius?

Answers

The radius is 22.93 ft.
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