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forsale [732]
3 years ago
14

If r=12 and t=20, find S.

Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0

Answer:

d. 53.1°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

Cos = Adjacent/Hypotenuse

You are given the lengths of t (hypotenuse) and r (adjacent to S), so you can find the angle from ...

cos(S) = r/t = 12/20

S = arccos(12/20) ≈ 53.1° . . . . . use the inverse cosine function

rjkz [21]3 years ago
8 0

Answer:

d. 53.1

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps! :)

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What is the minimum value of F(x)= 10x^{2} -6x-3<br> 3/10 or -39/10
kolezko [41]

Answer: 3/10

Step-by-step explanation:

Take the derivative of 10x^2-6x-3 to get 20x-6. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

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6 0
3 years ago
a solid sphere is cut into 3 equal wedges. the volume of each wedge is V=4/9π^3. solve the formula for r
algol13

\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3

  • It is one third of the solid. sphere

\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}

\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)

\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3

Now

\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}

\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}

\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}

4 0
3 years ago
Read 2 more answers
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Aleks04 [339]
3x^2+3x-6 this will be the answer 

5 0
3 years ago
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