Answer: 16 feet is the width and 25 is length
Step-by-step explanation:
x*(2x-7)=400
Word problem written in numerical form^^^^
Solve for x to get 16
length = 2(16)-7= 25
Check our work
16*25=400 yay
Answer:
6 buses
Step-by-step explanation:
138 students / 23 students per bus = 6 buses
The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.
Correct response:
- The eight of the goalpost is approximately <u>16.91 meters</u>.
<h3>Methods used to calculate the height</h3>
The length Chee is using the mirror to measure = The height of her school's football goalpost
The distance of the mirror from the goalpost = 14.35 meters
The distance on the other side of the mirror Chee steps to = 1.4 meters
The distance from her eyes to the ground = 1.65 meters
Required:
How tall is the goalpost.
Solution:
By using similar triangles relationships, we have;

Which gives;

- The height of the goalpost, h ≈ <u>16.91 meters</u>
Learn more about similar triangles here:
brainly.com/question/10676220
Answer:
Step-by-step explanation:
A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.
Finding z
z^2 + z^2 = (24√2) Combine the left
2z^2 = 24^2 * 2 Divide both sides by 2
2z^2/2 = 24^2/2
z^2 = 24^2 Take the square root of both sides
√z^2 = √24^2
z = 24
Finding x and y
The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.
Tan 60 = opposite over adjacent
sqrt(3) = Perpendicular / z Multiply both sides by z
z*sqrt(3) = perpendicular
The above calculation tells us the perpendicular is 24
z*sqrt(3) = 24 Divide by sqrt 3
z = 24/√3
z = 24/1.73
z = 8√3
Finding x
Use Pythagoras to determine x
Perpendicular^2 + (8√3)^2 = x^2
24^2 + 8^2*3 = x^2
576 + 192 = x^2
768 = x^2
√x^2 = √768
x = 27.71