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zzz [600]
3 years ago
7

As a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How l

ong did it take to complete each game? Use letters to represent the unknowns. Solve the problem.
Mathematics
1 answer:
harina [27]3 years ago
3 0
Multiply it and you get the answer
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How do I find the area of a triangle with a base of 3 and height of 6
Schach [20]
You can multiply 3 and 6 together then divide the product by 2
(6*3)/2=18/2=9
6 0
3 years ago
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo
Oduvanchick [21]

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

\boxed{ \mathsf{volume \: of \: bowl =  \frac{2}{3}  \times \pi \: r {}^{3} }}

Radius is half of diameter.

<u>Given</u> -

  • Diameter = 10cm .

<em>From</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>data</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>derive </em><em>that</em><em> </em><em>the</em><em> </em><em>radius</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>hemispheri</em><em>cal</em><em> </em><em>bowl</em><em> </em><em>is</em><em> </em><em>5</em><em>c</em><em>m</em><em> </em><em>(</em><em>1</em><em>0</em><em>/</em><em>2</em><em>)</em>

Putting the known values into the formula to get the value of the volume of bowl :

\mathsf{volume =  \frac{2}{3} \times \:   3.14 \:  \times  {5}^{3} }

= 3.48888cm³

= 3.48cm³

5 0
2 years ago
Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\&#10;6y=180\\\\&#10;y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
What point is located on the x-axis<br><br> Pls help
qaws [65]

Answer:

Point C is located on the x-axis.

Step-by-step explanation:

edge 2020

7 0
3 years ago
Read 2 more answers
If f(x)=(3+x)/(x-3), what is f(a+2)?
tigry1 [53]

Answer:

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,

                           f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above,

                           f(a + 2) = (5 + a) / (a - 1)

3 0
1 year ago
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