Emily jogged 8 miles due north, then turned east and jogged 15 miles. How many miles is

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

The answer is 120

Step-by-step explanation:

I got it by timing 8 and 15 , and I got 120

You might be interested in

Please help me with precalculus??<br>linear and angular speed

Anit [1.1K]

13)

there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,

$\bf \cfrac{4\underline{\pi} }{5~\underline{s}}\cdot \cfrac{rev}{2\underline{\pi} }\cdot \cfrac{60~\underline{s}}{min}\implies \cfrac{4\cdot 60~rev}{5\cdot 2~min}\implies \cfrac{240~rev}{10~min}\implies 24\frac{rev}{min}$

14)

$\bf \textit{linear velocity}\\\\
v=rw\quad 
\begin{cases}
r=radius\\
w=angular~speed\\
----------\\
v=32\frac{m}{sec}\\
w=100\frac{rev}{min}
\end{cases}\\\\
-------------------------------\\\\
\textit{let's convert \underline{w} to }\frac{radians}{sec}$

$\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\
-------------------------------\\\\
v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }
\\\\\\
r=\cfrac{90}{10\pi }m$

15)

what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)

$\bf \cfrac{\underline{\pi} }{3~\underline{sec}}\cdot \cfrac{rev}{2\underline{\pi }}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{60 ~rev}{3\cdot 2 ~min}\implies \cfrac{60 ~rev}{6 ~min}\implies 10\frac{rev}{min}$

4 0

3 years ago

An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then wh

zhenek [66]

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

6 0

2 years ago

What is the Q1 of 1,2,3,5,7,9,10

arsen [322]

Answer: Q1 is the 2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

chubhunter [2.5K]

Answer is 143. See picture for explanation

4 0

3 years ago

Solve : 6 yards 9 feet 4 inches times 2

devlian [24]

Multiply all the numbers by 2 first, so 12 yards 18 ft 8 in. After that, you simplify. There are three feet in a yard, so in eighteen feet there are 6 yards. That makes 18 yards and 8 in

5 0

2 years ago

Read 2 more answers