What is equivalent to 1/2r=5/2

What is the volume of this figure?<br><br> Enter your answer in the box.<br><br> yd³

tia_tia [17]

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

6 0

2 years ago

Please help me <br> Show your work <br> 10 points

Svet_ta [14]

<h2>Answer</h2>

After the dilation $\frac{5}{3}$ around the center of dilation (2, -2), our triangle will have coordinates:

$R'=(2,3)$

$S'=(2,-2)$

$T'=(-3,-2)$

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

$(x,y)$ → $(x-2, y+2)$

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor $\frac{5}{3}$ . Therefore our second partial rule will be:

$(x,y)$ → $\frac{5}{3} (x-2,y+2)$

$(x,y)$ → $(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )$

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

$(x,y)$ → $(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)$

$(x,y)$ → $(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})$

Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:

$R=(2,1)$

$R'=(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})$

$R'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(1)+ \frac{4}{3})$

$R'=(\frac{10}{3} -\frac{4}{3} ,\frac{5}{3}+ \frac{4}{3})$

$R'=(2,3)$

$S=(2,-2)$

$S'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})$

$S'=(\frac{10}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})$

$S'=(2,-2)$

$T=(-1,-2)$

$T'=(\frac{5}{3} (-1)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})$

$T'=(-\frac{5}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})$

$T'=(-3,-2)$

Now we can finally draw our triangle:

8 0

3 years ago

What is 2 times 5 times by 67 and then divided by 67 and then with and 8 times it agin?

vovikov84 [41]

Answer:80

Step-by-step explanation:2 times 5 is 10. 10 times 67 is 670. 670 divided by 67 is 10. 10 times 8 is 80x

8 0

3 years ago

Read 2 more answers

What is 21 1/4% expressed as a fraction?

Neporo4naja [7]

Answer:

$\frac{17}{80}$

Step-by-step explanation:

we have

$21\frac{1}{4}\%$

Convert mixed number to an improper fraction

$21\frac{1}{4}=21+\frac{1}{4}=\frac{21*4+1}{4}=\frac{85}{4}$

so

$21\frac{1}{4}\%=\frac{85}{4}\%$

Convert percent number as a fraction

$\frac{85}{4}\%=\frac{85}{4}:100=\frac{85}{4*100}=\frac{85}{400}$

Simplify

Divide by 5 both numerator and denominator

$\frac{17}{80}$

8 0

3 years ago

In in the previous activity you solved a system of equations representing the carnival admissions using the elimination method i

Mariulka [41]

Answer:

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 $k+a=500$ both variables k has 1 as their coefficient.

Step-by-step explanation:

We need to solve the system of equations using substitution method

The equation are:

$k + a = 500--eq(1)\\3k + 10a = 3,600 --eq(2)$

For substitution method, we find value of k from equation 1 and put in equation 2

$From \ eq(1) \ we \ get\\k=500-a$

Putting it in eq(2)

$3k+10a=3600\\Put \ k=500-a\\3(500-a)+10a=3600\\1500-3a+10a=3600\\7a=3600-1500\\7a=2100\\a=\frac{2100}{7}\\a=300$

So, we get value of a = 300

Now finding value of k by putting value of a in equation $k=500-a$

$k=500-a\\Putting \ a \ =500\\k=500-300\\k=200$

So, we get value of k =200

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 $k+a=500$ both variables k has 1 as their coefficient.

4 0

3 years ago

What is equivalent to 1/2r=5/2​

What is equivalent to 1/2r=5/2