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SOVA2 [1]
2 years ago
5

What scale factor was applied to the first rectangle to get the resulting image?

Mathematics
1 answer:
madam [21]2 years ago
4 0

Answer:

The scale factor for the resultant rectangle is\frac{2}{5} units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio  of corresponding side of given figure to the corresponding side of resulting figure.

That is \text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}

Here, \text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}

\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}

Hence, the scale factor for the resultant rectangle is\frac{2}{5} units.  

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Which of the following is the simplest form of this expression?
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The denominator could be written a²/³


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Twenty percent multiply by x is what
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2 years ago
Shawn incorrectly graphed the inequality -x-2y≥8 as shown below Explain shawn mistake ​rotate phone if u need to
Aleks04 [339]

Answer:

He failed to flip the inequality

y ≤-1/2x-4

Step-by-step explanation:

-x-2y ≥8

Add x to each side

-x+x-2y ≥x+8

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Divide by -2.  Remember to flip the inequality

-2y/-2 ≤-1/2 x +8/-2

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3 years ago
98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))
IgorLugansk [536]
That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

A(-16.55\cos 25, -16.55 \sin 25)

B=A+(5 \cos 53, 5 \sin 53)

C=B+(20,0)

C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)

C \approx (8.00968, -10.9875) \approx(8,-11)

Your team takes the direct path at a constant speed of 6 miles per hour.

<span>Our team.  T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}

</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.

T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}

Team Blue follows the riddle and travels at a constant speed of 10 mph.

</span>T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}

Winner: our team, then Blue, then Red, then Yellow

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3 0
3 years ago
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
Pie

Answer:

a

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

b

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

c

Yes it  involves a statistical test

The population parameter(s) of interest is  

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

Here \mu_R is the average reaction time of the right hands for the right-handed participants

and  \mu_L is the average reaction time of the left hands for the left-handed participants

Considering third statement  

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

3 0
2 years ago
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