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3 years ago

Help! how do I do this??

Mathematics

2 answers:

rosijanka [135]3 years ago

7 0

Answer:

15 ft

Step-by-step explanation:

Using sinus law

sin(A) /a = sin(B) /b = sin(C) /c

Where smale letters indicate the sides

For this question :

(sin(90)*12)/sin(53)=15

eduard3 years ago

3 0

Answer:

9.58

Step-by-step explanation:

Sin=opposite/hypotenuse

sin53=12/length of slide

Length of slide=12sin53

=9.58

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Jamaar helped in the community garden for 21/10 hours this week. that was 2 4/5 equal-length shifts, because jamaar stopped earl

DochEvi [55]

21/10 divided by 2 4/5 represents the time spent on a shift

<h3>How to determine what 21/10 divided by 2 4/5 represent in this situation?</h3>

The given parameters are

Time = 21/10

Shifts = 2 4/5

This means that:

21/10 divided by 2 4/5 represents:

Time/Shift

i.e. time per shift

Hence, 21/10 divided by 2 4/5 represents the time spent on a shift

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2 years ago

Asking for the equation

Novay_Z [31]

Answer:

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Step-by-step explanation:

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3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

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3 years ago

Sophie found the volume of the figure below by using the steps shown.

Westkost [7]

Answer: it's C Sophie used the wrong height for the pyramid

It's Right cause I took the test.

Step-by-step explanation:

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3 years ago

Read 2 more answers

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenar

yawa3891 [41]

Hello,

$r= \dfrac{k}{w} \\
\textrm{if w=10 then r=20} ==\ \textgreater \ 20= \dfrac{k}{10} ==\ \textgreater \ k=200\\\\
\textrm{if w=5 then }\\\\

r= \dfrac{200}{5} =\boxed{40}$

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3 years ago