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2 years ago

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Mathematics

2 answers:

Svetach [21]2 years ago

4 0

Answer:

Step-by-step explanation:

matrenka [14]2 years ago

3 0

Answer: answer is 3

Step-by-step explanation:

I believe the answer is 3 due to the fact that if u have one cookie and u get another u now have 3 good cookies. You may wonder where the third cookie came from, well it came form the fact that u actually secretly stole it from your neighbor bc why not so now u have 3

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QUICK HELP! How many terms are in the simplified expression? How many of the terms in the simplified expression are negative?

Bess [88]

There are 4 terms.
The second term and the fourth term have negative coefficients.
Terms are only negative depending on the value of the variables.

3 0

2 years ago

A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 15∘ from level ground to the ki

Nataly [62]

Answer:

12.9 yd

Step-by-step explanation:

It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.

For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$

$\sin 15^\circ = \dfrac{h}{50~yd}$

$(50~yd)\sin 15^\circ = h$

$h = (50~yd)(0.2588)$

$h = 12.9~yd$

6 0

2 years ago

3. Michel invests $850 at 7%/a simple interest. How long will he

Kipish [7]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$200\\ P=\textit{original amount deposited}\dotfill & \$850\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 200=850(0.07)t\implies \cfrac{200}{850(0.07)}=t\implies \stackrel{\textit{about 3 years, 4 months and 10 days}}{3.36\approx t}$

5 0

2 years ago

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile

Lubov Fominskaja [6]

$\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\ in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
\\\\\\
\cfrac{8000\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mile}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{8000\pi \cdot 60\ in}{12\cdot 5280\ hr}$

3 0

2 years ago

You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the w

makkiz [27]

Answer:

L=135 W=105

Step-by-step explanation:

Your rectangle has two length sides and two width sides. That means two sides are 30 feet longer than the other sides. If you subtract 60 from 480, you get 420. Divide 420 by 4 and you get 105. So now you know the width sides are 105 feet long, so 105+105=210. Now all you have to do is add 30 to 105 and get 135. That is the length of the two longer sides. So add 135 and 135 to get 270. All you have to do is add 210 and 270 and you end up with the 480 feet of fence you were given. I know this is probably not the fancy way of doing it, but it works.

8 0

3 years ago

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