First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²
Answer: see image
<u>Step-by-step explanation:</u>
Count how many spaces the vertex is away from the line x = -1. Then place that vertex the same distance on the other side of the line x = -1.
The question states that the Statue of Liberty is 30 times the height of a 154 centimeter person and asks how many meters tall the <span>the Statue of Liberty is.
This is basically asking us to find 30 times 154 centimeters and convert it to meters.
30 • 154 = 4620
This tells us that the </span>Statue of Liberty is 4,620 centimeters (cm) tall.
Now we must convert 4,620 cm to meters (m).
There are 100 cm in 1 m.
This means 100 cm = 1 m.
That means that meters are 100 times larger than centimeters.
With this in mind, we can divide the number of cm by 100 to convert it to m.
4,620 ÷ 100 = 46.2
That means that 4,620 cm is equal to 46.2 m.
The final answer:
If the Statue of Liberty is 30 times taller than 154 centimeters, then the Statue of Liberty is 46.2 meters tall.
So the answer is 46.2 meters.
Hope this helps!
Answer:
97.5
Step-by-step explanation:
Supplementary means the angles add up to 180°
So,
m∠A = 180 - m∠B
m∠A = 180 - 82.5
m∠A = 97.5
Answer:
D
Step-by-step explanation:
y=x+3/8x
