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3 years ago

Find the length of the bold arc. Round to the nearest tenth and use 3.14 or the pi button on your calculator for pi.

Mathematics

1 answer:

Elanso [62]3 years ago

4 0

Answer:

8π yards

Step-by-step explanation:

A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:

C=πd=2πr

Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

$C=\frac {90}{360}*2*\pi*16=8\pi$

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The food is made up of 1 part sugar and 4 parts water. She uses 34 cup of sugar to make the hummingbird food. How much water sho

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2 years ago

Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t

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Answer:

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula $D=v\cdot t,$ where

D is the distance,

v is the speed,

t is the time.

If $t=1$ hour, then $D=6\cdot 1=6$ miles.

If $t=\dfrac{1}{2}$ hour, then $D=6\cdot \dfrac{1}{2}=3$ miles.

If $t=1\dfrac{1}{3}$ hours, then $D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8$ miles.

If $t=1\dfrac{1}{2}$ hours, then $D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9$ miles.

If $t=9$ hours, then $D=6\cdot 9=54$ miles.

If $t=4\dfrac{1}{2}$ hours, then $D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27$ miles.

So, the table is

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

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3 years ago

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A shipping crate is packed with unit cubes. The length of the crate is 4

aleksley [76]

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

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3 years ago

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