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3 years ago

The table, the equation, and the graph show the rates at which three different students read in words per

Mathematics

1 answer:

Semmy [17]3 years ago

3 0

Student b? could you send a full picture

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A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find

Veseljchak [2.6K]

Answer:

Approximately $68.5\; \rm mm$ .

Step-by-step explanation:

Convert the angle of this sector to radians:

$\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}$ .

The formula $s = r\, \theta$ relates the arc length $s$ of a sector of angle $\theta$ (in radians) to the radius $r$ of this sector.

In this question, it is given that the arc length of this sector is $s = 36\; \rm mm$ . It was found that $\theta = 2.22$ radians. Rearrange the equation $s = r\, \theta$ to find the radius $r$ of this sector:

$\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}$ .

The perimeter of this sector would be:

$\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}$ .

8 0

3 years ago

mom has 18 carnival ride tickets. Each ride takes 3 tickets. Kate would like to ride with jake and Emily. Are there enough ticke

irina [24]

Yes because
Kate: 3X2 = 6
Jake: 3X2 = 6
Emily: 3X2 = 6
add all of those together and you get 18

5 0

3 years ago

Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?

just olya [345]

1 unit to the left
Check the table I attached

4 0

2 years ago

Read 2 more answers

Marissa rode her bike to the oark and back home. She lives 2 3/10 miles from the park . How many miles did Marissa ride her bike

Oduvanchick [21]

will she would have rode 4 3/5 miles in all.

2 3/10+2 3/10=4 3/5

that is 2 3/10 there and 2 3/10 back so you would add that together.

MILES IN ALL 4 3/5

Hope this helps

3 0

3 years ago

A radio station broadcasts a signal over qn area with a radius of 50 miles. The station can relay the signal and broadcast over

denpristay [2]

A = pi * r^2
A = 3.14 * 50^2 
A = 7,850 square miles (area of the 50 mile broadcast signal)

A = pi * r^2
A = 3.14 * 75^2
A = 17,662.5 = 17,663 square miles (area of the 75 mile relayed signal)

Now we just need to subtract the 50 mile signal from the 75 mile signal, so:

17,663 - 7,850 = 9,813 square miles greater

Hope this helps :)

7 0

3 years ago