Good evening ,
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Answer:
*Perimeter = 9+9+12,7=30,7
*Area=40,5
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Step-by-step explanation:
Look at the photo below for the answer.
:)
Area of rectangle = 24/54 square miles
length(L) = 5/9 miles
width (W)= ?
area = L * W
25/54 = 5/9 * W
W = (25/54) / (5/9) = (25 * 9) / (54 * 5)
W = 5/6 miles
Answer:
-336/527
Step-by-step explanation:
Trig identities are involved.
tan(2x) = 2tan(x)/(1 -tan(x)²)
Using tan = sin/cos, we can write this in terms of sine and cosine as ...
tan(2x) = (2sin(x)/cos(x))/(1 -sin(x)²/cos(x)²) = 2sin(x)cos(x)/(cos(x)² -sin(x)²)
= 2sin(x)cos(x)/(1 -2sin(x)²)
Now, the cosine can be found from ...
cos(x) = √(1 -sin(x)²)
for sin(θ) = 24/25, cos(θ) = √(1 -(24/25)²) = 7/25 . . . . 1st quadrant angle
Filling in the values in the above identity, we have ...
tan(2θ) = 2(24/25)(7/25)/(1 -2(24/25)²) = 336/-527
tan(2θ) = -336/527
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You can use a calculator or estimate that the angle for sin(θ) = 24/25 will be greater than 67.5°, so double the angle will be greater than 135°. (θ ≈ 74°) This means ...
- 2θ > 135°, so the magnitude of tan(2θ) will be less than 1
- 2θ is in the 2nd quadrant, so the sign of tan(2θ) will be negative
These observations will help you choose the correct answer without any further math.
Answer:
-8(-7r-7)+8=-272
We move all terms to the left:
-8(-7r-7)+8-(-272)=0
We add all the numbers together, and all the variables
-8(-7r-7)+280=0
We multiply parentheses
56r+56+280=0
We add all the numbers together, and all the variables
56r+336=0
We move all terms containing r to the left, all other terms to the right
56r=-336
r=-336/56
r=-6
Answer:
100pi in^2, or 314.16 in^2 to nearest hundredth.
Step-by-step explanation:
The areas of the surface of water for full basin and area for the surface when the depth is 10 inches are in the ratio 25^2 : 10^2 = 6.25 : 1. (because the depth of the water = radius of the water when the basin is full).
The area for a full basin = pi r^2 = 625pi in^2.
So the area when depth is 10 inches = 625pi / 6.25 = 100pi in^2.
