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4 years ago

5

A hippopotamus weights 4 tons.feeding instructions are given in for weights in pounds.how many pounds does the hippopotamus weig

h ?
A 4,000pounds
B 6,000
C 8,000
D 12,000

1 answer:

lys-0071 [83]4 years ago

6 0

It's ....c 8000 lbs because there is 2000 lbs in a ton so you do 4x2 which equals 8 then you add your 3 zeros. Hope I was able to help.

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Find an exact value.

Westkost [7]

Answer:

$\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}$ .

Step-by-step explanation:

Convert the angle $\displaystyle \left(-\frac{7\, \pi}{12}\right)$ to degrees:

$\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ$ .

Note, that $\left(-105^\circ\right)$ is the sum of two common angles: $\left(-45^\circ\right)$ and $\left(-60^\circ\right)$ .

$\displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}$ .
$\displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}$ .

$\displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}$ .
$\displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}$ .

By the sum-angle identity of cosine:

$\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B)$ .

Apply the sum formula for cosine to find the exact value of $\cos\left(-105^\circ \right)$ .

$\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}$ .

$\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ$ . In other words, $\displaystyle \left(-\frac{7\, \pi}{12}\right)$ and $\left(-105^\circ\right)$ correspond to the same angle. Therefore, the cosine of $\displaystyle \left(-\frac{7\, \pi}{12}\right)\!$ would be equal to the cosine of $\left(-105^\circ\right)\!$ .

$\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}$ .

3 0

3 years ago

The table shows the number of words a person types of different amounts of time. What is the rate of words per minute?

Setler [38]

Answer:

<em>35 words per minute. </em>

Step-by-step explanation:

To find the answer you have to divide <em>Minutes</em> by <em>Words Typed</em>.

105 ÷ 3 = 35.

175 ÷ 5 = 35.

315 ÷ 9 = 35.

<em>Therefore, our answer is 35.</em>

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3 years ago

When you work for 3 hours and get 46.50$ how much will you get working for 7 hours

denis23 [38]

Answer:

108.5

Step-by-step explanation:

46.50/3= 15.50

15.50 x 7=106.5

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3 years ago

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Gekata [30.6K]

False. This is not a statistic. A statistic would be something more like “Since 1998, the team payroll of the Baltimore Orioles increased 26%” Statistics show things more overtime, rather than that just being a basic fact that the team payroll was that amount.

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3 years ago

A cheetah can run 70 miles per hour.What is this speed un feet per hour

Debora [2.8K]

The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:
One mile equals 1760 yards
In feet that is 3 x 1760 or 5,280
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369,600 feet per hour.

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4 years ago

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