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2 years ago

The circumference of a circle is 9 cm. What is the diameter?

Mathematics

1 answer:

topjm [15]2 years ago

5 0

Answer: $\frac{9}{\pi } \\or\\2.86$

Step-by-step explanation:

$C=\pi d$

$9=\pi d\\\frac{9}{\pi } =d\\$

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What is the volume of a rectangular prism with length 8 cm, height 4 cm, and width 7 cm?

Bogdan [553]

Volume = Area * height
= width * length * height
= 8 * 4 * 7
= 224 cm^3

4 0

3 years ago

How do I complete these questions a bit confused . (extra credit work )

otez555 [7]

Answer:

(1)

$a = \frac{3\sqrt 3}{2}$

$b = \frac{3}{2}$

(2)

$a = \sqrt 6$

$b = \sqrt 2$

Step-by-step explanation:

Solving (1):

Considering

$\theta = 60^o$

We have:

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

This gives:

$\sin(60^o) = \frac{a}{3}$

Solve for a

$a = 3 * \sin(60^o)$

$\sin(60^o) = \frac{\sqrt 3}{2}$

So:

$a = 3 * \frac{\sqrt 3}{2}$

$a = \frac{3\sqrt 3}{2}$

To solve for b, we make use of Pythagoras theorem

$3^2 = a^2 + b^2$

This gives

$3^2 = (\frac{3\sqrt 3}{2})^2 + b^2$

$9 = \frac{9*3}{4} + b^2$

$9 = \frac{27}{4} + b^2$

Collect like terms

$b^2 = 9 - \frac{27}{4}$

Take LCM and solve

$b^2 = \frac{36 - 27}{4}$

$b^2 = \frac{9}{4}$

Take square roots

$b = \frac{3}{2}$

Solving (2):

Considering

$\theta = 60^o$

We have:

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

This gives:

$\sin(60^o) = \frac{a}{2\sqrt 2}$

Solve for a

$a = 2\sqrt 2 * \sin(60^o)$

$\sin(60^o) = \frac{\sqrt 3}{2}$

So:

$a = 2\sqrt 2 * \frac{\sqrt 3}{2}$

$a = \sqrt 2 * \sqrt 3$

$a = \sqrt 6$

To solve for b, we make use of Pythagoras theorem

$(2\sqrt 2)^2 = a^2 + b^2$

This gives

$(2\sqrt 2)^2 = (\sqrt 6)^2 + b^2$

$8 = 6 + b^2$

Collect like terms

$b^2 = 8 - 6$

$b^2 = 2$

Take square roots

$b = \sqrt 2$

3 0

3 years ago

Bret works for a printing company. He buys 5 packs of card. Each pack of card costs £14.06 How much money does Bret pay in total

klasskru [66]

Multiply 5 and £14.06 to get £70.30 this is your answer

8 0

3 years ago

Write a function rule for the situation: the length l(w) of a box that is two more than four times the width w.

dlinn [17]

The length is going to equal four times the width plus two, as the situation states.

L(w) = 4w + 2

6 0

3 years ago

Read 2 more answers

Unit 7: Polygons & Quadrilaterals Homework 4: Rhombi and Squares<br><br> please help!!!

Rainbow [258]

Answer:

9) VU = 15

SU = 21.21

TV = 21.21

SW = 10.61

10) OM = 46

PN = 23

ON = 46

MN = 46

Step-by-step explanation:

9) SU = TV = √15²+15² = 21.21

SW = 21.21/2 = 10.61

10) PN = 46/2 = 23

3 0

3 years ago