ANSWER
C. 64.29
EXPLANATION
The bigger right triangle is similar to the smaller right triangle, therefore

Multiply both sides by 30;

Simplify


We correct to the nearest hundredthth to obtain,

The correct choice is C.
Answer:
3 ft by 8 ft
Step-by-step explanation:
We were given the area as 24 square feet which means that
L×w= 24....eqn(1)
We were given the perimeter as 22 square feet which means that
22= 2(L +w).......eqn(2)
If we divide both cause by 2 in eqn(2) we have
11= L+ w .....eqn(3)
W= 11-L.........eqn(4)
Substitute eqn(4 into eqn(1)
L× (11-L)=24
-L^2 +11L-24=0
If we factorize
(L-8)(L-3)
L=3 or 8
From eqn4)
W=11-L
At L=3
W=11-3=8
Hence, the dimension is 3 ft by 8 ft
Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:

In this case you know that:

Since triangle ABC is similar to triangle DEF:

Let's begin with the triangle ABC.
You can identify that:

Then, substituing values, you get:

In triangle DEF, you know that:

So, substituing values, you get:

Answer:
6
Step-by-step explanation:
just a guess
9+3+6+7 = 25
5+5+4+9 = 23
6+8+4+? = 24 ? = 6
This equals the the area of white part / area of the entire dartboard
area of the entire board = pi * 6^2 = 36pi
area of white part = 36pi - 2^2*pi = 32pi
do required probability = 32pi / 36pi = 0.889 or 88.9 % (to nearest tenth)
or as a fraction it is 8/9