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3 years ago

Find the circumference of a circle with radius, r = 19.5m.Give your answer in terms of π.

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

Answer:

C = 39 pi meters

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi * r

C = 2 * pi * 19.5

C = 39 pi meters

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The average heart pumps about 80ml of Blood each contraction. if your heart rate was 70 beats per minute, calculate the volume o

Anuta_ua [19.1K]

The heart beat rate is 70beats/minute with 80ml of blood pumped every beat. Then, the <span>volume of blood your heart pumps in one minute would be:

volume of blood per minute= volume per beat * beat per minute
</span>volume of blood per minute= 80ml/beat * 70beat/minute= 560ml/ minute<span>

</span>volume of blood per hour would be: 560ml/minute * 60 minute/hour= 33.600 ml/hour

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3 years ago

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

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1 year ago

Check all solutions to the equation. If there are no solutions, check “None.” √x = 16

dedylja [7]

B. 4

Explanation: We are trying to find the square root of x, which is equal to 16. Meaning x has to multiply itself once to equal 16. 4 multiplied by 4 equals 16. Giving us our answer, x= 4

6 0

3 years ago

Read 2 more answers

PLEASE HELP!! WILL MARK BRAINLIEST!!

sladkih [1.3K]

Answer:

if u have any doubts feel free to ask :)

Step-by-step explanation:

Sum of ratio : 9 + 7 + 4 = 20

Adele share :

$\frac{9}{20} \times 680 = 9 \times 34 = \$ 306$

Barbara share :

$\frac{7}{20} \times 680 = 7 \times 34 =\$ 238$

Collette share :

$\frac{4}{20} \times 680 = 4 \times 34 = \$ 136$

$ €

1.125 1

306 x

$\frac{1.125}{306} = \frac{1}{x}$ [cross multiply]

$x =\frac{ 306} {1.125}$

x = €272

Adele receives = €272

Apple Cost

1 kg 2.69

5 kg y

y = 2.69 x 5 = $13.45

Cost of 5kg of apples = $13.45

Cost of 3 kg bananas = 17.56 - 13.45 = $4.11

Banana Cost

3kg 4.11

1 kg z

$z = \frac{4.11}{3}$

z = $1.37

Cost per kilogram of banana = $1.37

e) Collette share = $136

Half of it on clothes = (1/2) x 136 = $68

(1/5) of her share on books = (1/5) x 136 = 27.20

Balance amount with her = 136 - 27.20 - 68 = $ 40.80

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3 years ago

Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.

Troyanec [42]

Answer:

×=7, pq=27, qr=20.

Step-by-step explanation:

(4x-1)+(3x-1)=47 therefore 7x-2=47 or 7x=49 and x=7, pq=4x-1=27, qr=3x-1=20.

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4 years ago

Find the circumference of a circle with radius, r = 19.5m.Give your answer in terms of π.​

Find the circumference of a circle with radius, r = 19.5m.Give your answer in terms of π.