Answer:
see explanation
Step-by-step explanation:
Using the cosine and tangent ratios in the right triangle
cos41° =
=
= 
Multiply both sides by VX
VX × cos41° = 7 ( divide both sides by cos41° )
VX =
≈ 9.3
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tan41° =
=
= 
Multiply both sides by 7
7 × tan41° = WX, thus
WX ≈ 6.1
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The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for ∠ X
∠ X = 180° - (90 + 41)° = 180° - 131° = 49°
X= -4 for solving x and y= 0 for solving y
Answer:
2
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(6 + 6) / (2 + 4)
12/6
= 2
So, the rate of change is 2
Answer:
169.12
Step-by-step explanation:
I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps
Answer:
20 grams
Step-by-step explanation:
Let x be the total allowance of fat
16 grams is 80% of his total allowance
x * 80% = 16
Change percent to a decimal
x *.8 = 16
Divide each side by .9
.8x/.8 = 16/.8
x = 20