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nordsb [41]
4 years ago
13

What is the angle that is half of its own complement?

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
4 0

If you have an angle and want to know its complement, you subtract it from 90 degrees. What angle, when subtracted from 90 degrees, gives the same value?

90 - x = x

The supplement of x is the angle that you add to x to make 180 degrees. In other words, 180 - x = the supplement of x.

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Tcecarenko [31]
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5 0
3 years ago
Help please
ddd [48]
Length of the box = 25 - 2x
Width of the box = 14 - 2x
Height of the box = x

a.) Volume of the box = x(25 - 2x)(14 - 2x) = x(350 - 50x - 28x + 4x^2) = 4x^3 - 78x^2 + 350x
Therefore, the function that models the volume of the box is V(x) = 4x^3 - 78x^2 + 350x

b.) 4x^3 - 78x^2 + 350x ≥ 240
4x^3 - 78x + 350x - 240 ≥ 0
x = 0.834, 5.438
The values of x for which the volume is greater than 240 in^3 is 0.834 ≤ x ≤ 5.438

c.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 156x + 350 = 0
x = 2.882910931

Therefore, maximum volume = 4(2.882910931)^3 - 78(2.882910931)^2 +350(2.882910931) = 453.798 in^3
8 0
4 years ago
What is the measure of XYZ shown in the diagram below?
Crazy boy [7]

Answer: A.                                                                                                          

Explenation: Apex                                

4 0
4 years ago
Read 2 more answers
(7.10; 7.15)
storchak [24]

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

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3 years ago
Consider triangle PQR. What is the length of side QR?
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Answer: 16 units

Step-by-step explanation:

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3 years ago
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