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Tatiana [17]
3 years ago
10

Find the exact length of the arc s in the figure. (Assume r = 3 and θ = 106°.)

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
Circumference = 2Pi(r) = 6Pi

angle of arc s = 360 - 106 = 254 degree

Arc length = 6Pi ( 254 ) / 360 = 4.2Pi

Pi = 3.14

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A player ran 30 yards in a football game. How many feet did the player run?
Bad White [126]

Taking into account the change of units, the player ran 90 feets in the football game.

<h3>Rule of three</h3>

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: x=\frac{cxb}{a}

The direct rule of three is the rule applied in this case where there is a change of units.

<h3>Change of units</h3>

To perform in this case the conversion of units, you must first know that 1 yard = 3 feets. So, if 3 feets is 1 yard, how many feets equals 30 yards?

1 yard ⇒ 3 feets

30 yards ⇒ x

So:  x=\frac{30 yardsx3 feets}{1 yard}

Solving:

<u><em>x= 90 feets</em></u>

In summary, the player ran 90 feets in the football game.

Learn more with this example:

<u>brainly.com/question/12482948?referrer=searchResults</u>

8 0
2 years ago
*PLEASE help* ANY IRRELEVANT ANSWERS WILL BE REPORTED *
sp2606 [1]

Answer:

Frank was going around his school and was asking fellow students how many scoops of ice cream they like for desert. He learned that zero students like 3 scoops of ice cream. The more students he asked the smaller the amounts got. The amounts got smaller by half a scoop per person. When he asked a 6th person they did not want any ice cream scoops for desert.

Step-by-step explanation:

Y intercept: 3

Slope: - 1/2

x intercept: 6

Have an amazing day!

Please mark brainliest!

4 0
2 years ago
Please help!!!! 7 - 2x if x = -4 Thank you in advance
Elis [28]

The x is a placeholder for a number. Think of x like a box and inside the box will go a number. In this case, -4 will replace x

7 - 2x = 7 - 2(-4) = 7 + 8 = 15

<h3>Answer: 15</h3>

6 0
3 years ago
Read 2 more answers
Anyone ....?<br><br><br><br><br> ?asap....
irina [24]

Answer:

243 .....................

4 0
3 years ago
A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classe
stealth61 [152]

Answer:

t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890  

The p value for this case would be:

p_v =P(t_{18}>0.890)=0.193  

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

Step-by-step explanation:

Information given

\bar X_{1}=4 represent the mean for sample A

\bar X_{2}=3.5 represent the mean for sample B

s_{1}=1.5 represent the sample standard deviation for A

s_{2}=1 represent the sample standard deviation for B  

n_{1}=11 sample size for the group A

n_{2}=9 sample size for the group B  

\alpha=0.1 Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2} \leq 0  

Alternative hypothesis:\mu_{1} - \mu_{2}> 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=11+9-2=18  

Replacing we got:

t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890  

The p value for this case would be:

p_v =P(t_{18}>0.890)=0.193  

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

5 0
4 years ago
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