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Snezhnost [94]
3 years ago
12

Find the angle measure that makes the statement true. Sin ____° = Cos 37 °

Mathematics
1 answer:
Olegator [25]3 years ago
7 0

You can solve this one easily with your calculator.  BUT ... you can solve it even more easily with your brain.

If you ever hung around on a rainy day looking at a right triangle and thinking about sines and cosines, you probably noticed that the sine of any angle is the cosine of its complement, and the cosine of any angle is the sine of its complement.

The complement of  37°  is  53° .

So the cos(37°) = the sin(53°).

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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r? V = r2 V = r3
Gnom [1K]
So hmm check the picture below

the radius "r" is half the diameter, meaning, the diameter is 2r long
now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)

thus    \bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\qquad 
\begin{cases}
h=height\\
r=radius\\
------\\
h=2(2r)
\end{cases}\implies V=\cfrac{\pi r^2[2(2r)]}{3}
\\\\\\
V=\cfrac{4\pi r^3}{3}

8 0
3 years ago
Heyyyy have a good day!<br><br><br><br><br><br><br><br><br><br> :)
inn [45]

Answer:

I've learned that I can always learn more.

Step-by-step explanation:

7 0
2 years ago
Which point is part of the solution of the inequality y&lt;=|x+4|-3
Whitepunk [10]
<h2>Hello!</h2>

The answer is: The point (0,0) is part of the solution.

<h2>Why?</h2>

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

y\leq |x+4|-3

So, evaluating we have:

- First point (-2,1)

y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

3 0
3 years ago
In how many different ways can 6 books be arranged on a shelf? 6 120 720
Mamont248 [21]
Find factorial 6:  6!  = 6*5*4*3*2*1 = 720
6 0
3 years ago
The daily profit, P, of a local bakery can be calculated using the formula P=m-(250+4h) when employees work a total of h hours a
qwelly [4]

Answer:

m=665+4h

Step-by-step explanation:

Profits of the local bakery is given by

P=m-(250+4h)

where

m = Amount of money to be received

P = Profit

h = Number of hours worked

Now P = $415

So,

P+(250+4h)=m\\\Rightarrow m=P+250+4h\\\Rightarrow m=415+250+4h\\\Rightarrow m=665+4h

The equation to calculate the amount of money, m, the bakery should receive if the desired profit is $415 is m=665+4h.

5 0
3 years ago
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