Answer:
y = 110
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon with n sides is: (n-2) x 180 degrees. A hexagon has 6 sides, so if we plug this value into the equation, we get (6-2) x 180 = 4 x 180 = 720 degrees. Since we have one angle which is 170 degrees and the other five angles are the same (y), we can make the equation 170 + 5y = 720. We subtract 170 on both sides and get the equation 5y = 550. Dividing both sides by 5, we get y = 110, which is our answer.
Answer:
= x^2 + 17/2x + 7
Step-by-step explanation:
x2+(x+7)(x+1)
Distribute:
=x2+(x)(x)+(x)(1)+(7)(x)+(7)(1)
=12x+x2+x+7x+7
Combine Like Terms:
=12x+x2+x+7x+7
=(x2)+(12x+x+7x)+(7)
=x2+172x+7
Answer:
0.8770
Step-by-step explanation:
We are dealing with a mean of a sample, so we use the formula
Our mean, μ, is 174.9 and our standard deviation, σ, is 35.2. Our sample size, n, is 35. To find P(X > 168),
z = (168-174.9)/(35.2÷√35) = -6.9/(35.2÷5.9161) = -6.9/5.9499 = -1.16
Using a z table, we see that the area under the curve to the left of this value is 0.1230. However, we want the area to the right; this means we subtract from 1:
1-0.1230 = 0.8770
Answer:
36) C, 790 m²
37) D, 625 in²
Step-by-step explanation:
To find the volume of a rectangular prism, we will multiply the length, width, and height together. The dimensions of the aquarium are 22.9×7.5×4.6. Multiply these together.
22.9 · 7.5 · 4.6 = 790.05
The volume is 790.05 m². This rounds down to 790 m², so the answer is C.
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For the next question, the dimensions aren't given. Instead, we need to calculate them from the sidelengths of the unit cubes. Multiply 2.5 by the number of units on the length, width, and height of the prism. So, the dimensions are 10×12.5×5. Find the product of these dimensions.
10 · 12.5 · 5 = 625
The volume is 625 in². The answer is D.
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I hope this helps ^^ Good luck