Answer:
25
Step-by-step explanation:
(y+2)^2=x
(-7+2)^2=x
(-5)^2=x
(-5)(-5)=x
25=x
Hope that helps :)
Answer:
No. of children Frequency
0. 5
1. 7
2. 11
3. 5
4. 6
5 3
6 3
Hey there!
There are a few ways to do this, but I'll give you the one I can explain best.
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
Your answer is 3, or option D.
Hope this helps!
Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;

The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.
The answer is D) 180miles/6gallons