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3 years ago

HELP!!????

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

6 0

Answer:

Step-by-step explanation:

deff fn [24]3 years ago

3 0

you answer is c -2-9x

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

Mo spends £15 on ingredients to make 40 cookies.

ahrayia [7]

Given :

Mo spends £15 on ingredients to make 40 cookies.

He sells all 40 cookies for 50p each.

To Find :

The Mo's percentage profit.

Solution :

We know, 1 £ = 66.09 p.

So, total income is :

T = 40 × 50 p

T = 2000 p

T = £2000/66.09

T = £30.26

So, total profit is, P = £( 30.26 - 15 ) = £15.26 .

Hence, this is the required solution.

8 0

3 years ago

Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the

lora16 [44]

Answer: c

Step-by-step explanation:

3 0

3 years ago

Area of sector is to

krok68 [10]

Answer:

circle area

Step-by-step explanation:

A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.

6 0

2 years ago

Is less than y minus 2

kipiarov [429]

Answer:

x < y - 2

-Toodles!~

5 0

2 years ago

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