Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
Answer:
The distance from the house to the school is 500 units
Step-by-step explanation:
The distance we want to calculate represents the hypotenuse of the right triangle
So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse
The base side measures (350-50 = 300 units)
The measure of the height is (450-50 = 400 units)
Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have it that;
h^2 = 300^2 + 400^2
h^2 = 90,000 + 160,000
h^2 = 250,000
h = √250,000
h = 500 units
Answer:
3100%
Step-by-step explanation:
Calculate percentage change
from V1 = 16 to V2 = 512
(V2−V1)|V1|×100
=(512−16)|16|×100
=49616×100
=31×100
=3100%change
=3100%increase
Answer:
I think maybe the 4th one