Answer:
Percentage increases and decreases, are found by setting the problem up proportionally.
You are trying to find what percentage of 17.37 is 8.30 first.
so What %/100 = 8.30/17.37
Now define a variable:
Let x = What%
x/100 = 8.30/17.37
17.37x = 830
x = 830/17.37
x ≈ 47.78
8.30 is approximately 47.78% of 17.37, so the percentage decrease is 100% - 47.78% = 52.22%
The percentage decrease is approximately 52.22%
Answer:
angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.
Step-by-step explanation:
Answer:
<u>The correct answer is that the area of the regular octagon is 309 cm²</u>
Step-by-step explanation:
There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .
Area = (2 * s²)/tan 22,5°
s = 8 cm
Replacing with the real values, we have:
Area = (2 * 8²)/tan 22,5°
Area = 2 * 64/0.4142
Area = 128/0.4142
<u>Area = 309 cm² (Rounding to the nearest tenth)</u>
Answer:
210 yd³
Step-by-step explanation:
Volume of a triangular prism
= the area of a triangular base × the height
The area of the base
= (10×7)÷2
= 35 yd²
The volume of the prism
= 35 × 6
= <u>210 yd³</u>
Answer:
20260275
Step-by-step explanation:
the question is same as selecting 4 things from 150 things
= C(150,4). (nCr formula)
=[150×149×148×147]÷[4×3×2×1]
= 49×75×149×37
= 20260275
