1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler [38]
3 years ago
10

A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and its shadow is sim

ilar to the triangle formed by Sarah and her shadow. How tall is Sarah?
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
Make each known side into a ratio like so...
75/6 
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x 
(50 is how tall the building is and sarah's height is what needs to be found) 
Therefore, 
75    50
----  -----
 6      x

Do cross products;
50 x 6 = 75 x X
300 = 75x 
Divide by 75 
x = 4ft

You might be interested in
If the measure of ZB is 40°, what measures can ZA and
lubasha [3.4K]

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°

5 0
2 years ago
What is the perimeter of a parallelogram, if its area is 24 cm^2 and and the distances between the point of intersection of the
Stells [14]
Answer is 20 cm i guess

4 0
3 years ago
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

d=16t

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  f(t)=16t

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

8 0
3 years ago
A car travels at 65 miles per hour. Going through construction, it travels at 3/5 this speed. Write this fraction as a decimal a
nata0808 [166]
3/5 = 60/100 = 0.6

   65 
 x 60
=  00
3900

3900 / 100 = 39. 

While going through construction, the car travels at 39mph. 

8 0
3 years ago
Read 2 more answers
Cos 200. Cos 115- Sin 200. Sin 115=
Harrizon [31]
Cos 200= -0.939692621. cos 115-sin200=-0.080598118 Sin 115=0.906307787
6 0
3 years ago
Other questions:
  • A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a ma
    15·1 answer
  • Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their pur
    6·2 answers
  • Carl runs around a track 1.17 min how long would it take him to run 1.5 laps at his rate?
    9·2 answers
  • A bunch of bananas cost $4, a pineapple cost $2 more than a bunch of bananas, and 4 apples cost one-half of a pineapple.1. Write
    12·1 answer
  • Solve for x:<br> 2x +1°<br> 72 - 99°
    7·1 answer
  • Solve the following equation by completing the next two lines (showing all work )<br> X + 6 = 10
    6·1 answer
  • Find the volume of the cylinder
    5·1 answer
  • SOMEONE SMART PLZ HELP
    6·1 answer
  • juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pi
    7·1 answer
  • Find what 2/4 is multipled by to to get 2/4 divided by 12. Then solve the problem. Do not reduce your answer.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!