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pickupchik [31]

3 years ago

12

A structure covering a sports practice field has the shape of half of a cylinder, as shown. What is the total surface area of th

e structure to the nearest square yard, including the ends and the flat area of the field itself? Use 3.14 for .

1 answer:

hoa [83]3 years ago

3 0

wait i dont know why it wont let me comment or see comments but wheres the picture?

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Gavin goes for a run at a constant pace of 9 minutes per mile. Ten minutes later, Lars goes for a run, along the same route, at

sweet [91]

Answer: The answer is 35 minutes.

Step-by-step explanation: Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.

In 9 minutes, distance run by Gavin = 1 mile.

So, in 1 minute, distance travelled by Gavin will be

$d_G=\dfrac{1}{9}=\dfrac{7}{63}~\textup{miles}.$

Similarly,

In 7 minutes, distance run by Lars = 1 mile.

So, in 1 minute, distance travelled by Lars will be

$d_L=\dfrac{1}{7}=\dfrac{9}{63}~\textup{miles}.$

Now, since Lars started after 10 minutes, so distance run by Gavin in those 10 minutes will be

$d_{G10}=\dfrac{10}{9}=\dfrac{70}{63}~\textup{miles}.$

Now, difference between Lars and Gavin's rate of runnings is

$\dfrac{9}{63}-\dfrac{7}{63}=\dfrac{2}{63}.$

Therefore, the time taken by Lars to reach Gavin is given by

$t=\dfrac{\frac{70}{63}}{\frac{2}{63}}=35.$

Thus, the required time is 365 minutes.

6 0

3 years ago

Simplify the expression below, I really just need the steps I have the answer (also can someone tell me how to edit points on th

Sloan [31]

Answer: $3x^2y\sqrt[3]{y}\\\\$

Work Shown:

$\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\$

Explanation:

As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.

4 0

3 years ago

A book that you want is 15$. You have a coupon for 5% off. How much will you pay?

Rzqust [24]

Answer:

$14.25

Step-by-step explanation:

15×5% = .75

15-.75 = 14.25

3 0

3 years ago

Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four abse

Mariana [72]

Answer:

83 is still the mode

Step-by-step explanation:

4 0

3 years ago

G−9=−19<br><br> Help plz <br><br><br> Pleaseeeeee

Kay [80]

Answer:

g = -10

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers