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N76 [4]
3 years ago
7

The value of -4^2 is _____. 16 -16 8 18

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0
16 because two negatives numbers equal a possitive so 16
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Step-by-step explanation:

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What is the place value of 2.025
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This is my answer !

Step-by-step explanation:

2 ones 2 hundredths and 5 thousandth

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Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and th
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Find the longer leg of the triangle.
Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

  • The length of the hypotenuse (the side opposite to the right angle) is given.
  • The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let \text{Opposite} denotes the length of the side opposite to the 30^{\circ} acute angle, and \text{Adjacent} be the length of the side next to this 30^{\circ} acute angle.

\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}.

Similarly,

\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}.

The longer leg in this case is the one adjacent to the 30^{\circ} acute angle. The answer will be 3.

There's a shortcut to the answer. Notice that \sin{30^{\circ}} < \cos{30^{\circ}}. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the 30^{\circ} angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship \sin{\theta} < \cos{\theta} holds for all acute angles? (That is, 0^{\circ} < \theta?) It turns out that:

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  • \sin{\theta} > \cos{\theta} if 45^{\circ} < \theta;
  • \sin{\theta} = \cos{\theta} if \theta = 45^{\circ}.

4 0
3 years ago
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You work in the upholstery department of a furniture factory.
sammy [17]

Answer:

total pay in 4 weeks is $ 1960.00

$ 12.25 per hour

Step-by-step explanation:

5 x 165= $ 825

6 x 110= $ 660

5 x 95= $ 475

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           $ 1960.00 dollars divided by 160 = 12.25

1960/ 160= 12.25

6 0
2 years ago
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