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wolverine [178]
2 years ago
15

Please help and show work​

Mathematics
1 answer:
steposvetlana [31]2 years ago
8 0

Answer:

When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.

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Consider circle H below.
hram777 [196]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}, where,

r = Radius of circle,

\theta = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}

78=2\cdot 3.14\cdot  r\cdot \frac{7}{36}

78= 3.14\cdot r\cdot \frac{7}{18}

78= r\cdot \frac{21.98}{18}

r\cdot \frac{21.98}{18}=78

r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}

r=63.8762511373

Upon rounding to nearest hundredth, we will get:

r\approx 63.88

Therefore, the radius of circle H is approximately 63.88 miles.

7 0
4 years ago
It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, Ne
kvv77 [185]

Answer:

55 miles per hour

Step-by-step explanation:

Given that:

Distance from Mexico to Texas 350 miles

Miles already traveled = 75 miles

Hence, miles left ;

(350 miles - 75 miles) = 275 miles

To complete 275 miles in 5 hours ;

Speed = distance / time

Speed = 275 / 5

Speed = 55 miles per hour

4 0
3 years ago
I need a step-by-step explanation please
Rainbow [258]

Answer:

18x-16

Step-by-step explanation:

expression: (11x-8)+7(x-1)

ok so what you want to do is combine like terms

but first you are going to distribute

(11x-8)+(7x-8) you distribute the 7

they you can subtract 8 from -8 and that will give you -16

you will then add 11x and 7x which will get you 18x

the final expression will be 18x-16

6 0
3 years ago
Would an experience downhill skier want the slope of the hill to be 1/10 or 9/10?  Why?<br><br>​
kolezko [41]

Answer:

9/10

Step-by-step explanation:

step 1

Compare the slopes

1/10=0.10

9/10=0.9

0.9 > 0.10

therefore

An experienced skier would like the 9/10 hill slope because it is steeper, while the 1/10 is a softer slope.

8 0
4 years ago
How many times smaller is the volume of a cylinder if the diameter is multiplied by 1/2
Ann [662]

Calculating the volume of a cylinder the radius is squared,

If the radius was 8 when 8 is squared you get 64

If the radius is multiplied by 1/2 the radius would become 4, 4 squared is 16

16 / 64 = 1/4

The volume would be 1/4 the original volume, so it would be 4 times smaller.

7 0
3 years ago
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