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WARRIOR [948]
3 years ago
13

For each of the following angles, assume that the terminal ray of the angle opens up in the counter-clockwise direction. A circl

e with a radius 7 cm long is centered at Angle A's vertex, and Angle A subtends an arc length of 9.8 cm along this circle. The subtended arc is how many times as long as the circle's radius
Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

9514 1404 393

Answer:

  1.4

Step-by-step explanation:

We want to find the multiplier n such that ...

  arc length = n × radius

  n = arc length / radius = (9.8 cm)/(7 cm)

  n = 1.4

The subtended arc is 1.4 times as long as the circle's radius.

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Make t the subject of the formula p = 4t+1/2-t​
alex41 [277]

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t​

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

8 0
3 years ago
two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o
satela [25.4K]
We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
<span>Marco runs at a rate of 6 miles per hour. 
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)

Alternative Method
Let 
x---------> Fernando's distance when Marco is 0.3 miles apart

</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1

</span>Marco runs at a rate of 6 miles per hour. 
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
 7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour
6 0
4 years ago
What is the distance between point A located at "-412" and point B located at "-217"
dybincka [34]
412-217

195 units

Just subtract them and that would be the distance I’m pretty sure
6 0
3 years ago
Choose the point-slope form of the equation below that represents through the points (-3,2) and (2,1)
s2008m [1.1K]

Answer:

-1/4

Step-by-step explanation:

2-1 over -3-1 = 1/-4

3 0
3 years ago
This math promblem!!!!
fiasKO [112]
1. You convert all the numbers into decimals.
   a. For 8 1/9 you multiply 8x9 and add the numerator which in this case is one, so the equation would be 8x9=72     then 72+1= 73
   b. For 81/10 I used a calculator for accuracy and I just divided 81 by 10 because the fraction line can also be used as a division sign. For this I got 8.1
2. Now I looked at all the numbers I had including the fractions I converted to decimals... 8.115, 8.55, 73, and 8.1
3. Lastly, I put the numbers in order from least to greatest: 8.1, 8.115, 8.55, and 73
4. In order to figure out which one is the smallest and largest, I just added zeros on the end of the numbers so they would all be the same: 8.1-->8.100, 8.115 I kept the same because it already had 3 decimal places, 8.55--> 8.550, and 73--> 73.000
5. Then i could tell which number was the largest by the decimal place numbers.
**Hope this was helpful... It's kind of hard to explain online but hopefully you have a better understanding of how to do it!**
6 0
3 years ago
Read 2 more answers
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