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4 years ago

A circle had radius 5.6cm. Fin 1 decimal place A.circumference B.Area

Mathematics

2 answers:

musickatia [10]4 years ago

3 0

Answer:

A. 17.6cm

B. 98.56cm2

Step-by-step explanation:

circumference of a circle =πr

=(22/7)*5.6

=17.6

B. Area of a circle =πr2

=(22/7)*(5.6)squred

22/7*31.36

=98.56

Fofino [41]4 years ago

3 0

C=pi times the diameter
3.142 times 10.2=32.0cm

Area=pi times radius squared
3.142 times 5.6(squared) =98.5 cm(squared)

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Simplify sin Θ/√1-sin^2 Θ

dedylja [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2862279

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Simplify the trigonometric expression.

Call the expression E:

$\mathsf{E=\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}\qquad\qquad(but~~1-sin^2\,\theta=cos^2\,\theta)}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\sqrt{cos^2\,\theta}}}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\left|cos\,\theta\right|}}}$

$\mathsf{E}=\left\{\!\begin{array}{rl}\mathsf{\dfrac{sin\,\theta}{cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta>0}\\\\\mathsf{\dfrac{sin\,\theta}{-\,cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta$

So basically E is equivalent to $\pm\,\mathsf{tan\,\theta},$ where the sign depends on which quadrant $\theta$ lies. Shortly,

$\mathsf{\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}}=\left\{\!
\begin{array}{rl}
\mathsf{tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~1^{st}~or~the~4^{th}~quadrant}\\\\
\mathsf{-\,tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~2^{nd}~or~the~3^{rd}~quadrant}
\end{array}$

I hope this helps. =)

Tags: <em>simplify trigonometric trig expression sine cosine tangent sin cos tan absolute value modulus trigonometry</em>

4 0

3 years ago

Read 2 more answers

The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIV

jolli1 [7]

The volume of the pyramid is 13 units³.

<h3>What is the volume of the pyramid?</h3>

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

To learn more about rectangle pyramid, please check: brainly.com/question/9222686

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2 years ago

Consider the following frequency distribution:

daser333 [38]

Answer:

Relative frequency

0.214

0.268

0.446

0.071

Total 1

Step-by-step explanation:

The relative frequency is computed by dividing the individual frequencies to the sum of frequencies.

sum of frequencies=12+15+25+4=56

Class Relative Frequency

10-20 12/56=0.214

20-30 15/56=0.268

30-40 25/56=0.446

40-50 4/56=0.071

Total 12/56+15/56+25/56+4/56=56/56=1

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4 years ago

What is the solution?

Cloud [144]

The solution is x=16. hope it helps

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3 years ago

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Pavlova-9 [17]

Answer:

1 of the feet is 2 of the feet

Step-by-step explanation:

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3 years ago