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ella [17]
3 years ago
12

What is the volume of the figure?

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

188 ft^{3}

Step-by-step explanation:

So we can split up this shape into two prisms and then add the two areas.

The volume of a rectangular prism is V = l*w*h

For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108 ft^{3}.

Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80 ft^{3}

Now adding these two values will give us the area of the entire figure: 108ft^{3} +80ft^{3} = 188 ft^{3}

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Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug
ValentinkaMS [17]

Answer: The radius of the circular rug is  6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is  6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Read 2 more answers
A school baseball team raised $810 for new uniforms.Each player sold 1 book of tickets.There were 10 tickets in a book and each
Leviafan [203]

Answer:

The school baseball team sold 270 tickets

Step-by-step explanation:

Step 1

Identify the total amount of tickets sold by each player;

1 player=1 book of tickets

But 1 book=10 tickets

Step 2

Express the total cost of ticket sales per book as follows;

total cost=cost per ticket×number of tickets per book

where;

cost per ticket=$3

number of tickets per book=10

replacing;

total cost=(3×10)=$30

Step 3

Using the expression below, solve for the number of tickets sold

Total amount raised=price per ticket×number of tickets sold

where;

total amount raised=$810

price per ticket=$3

number of tickets sold=n

replacing;

810=3×n

3 n=810

n=810/3=270

n=270

The school baseball team sold 270 tickets

5 0
3 years ago
In parallelogram DEFG, DH equals X +3, HF equals 3Y, GH equals 2X -5 and HE equals 5Y plus to find the values of X and Y
daser333 [38]

The values of X and Y are 30 and 11 respectively

<h3>How to determine the values of X and Y?</h3>

The figure that represents the complete question is added as an attachment

The given parameters are:

DH = X +3

HF  = 3Y

GH = 2X -5

HE = 5Y

From the attached parallelogram, we have:

DH = HF

GH = HE

Substitute the known values in the above equation

X + 3 = 3Y

2X - 5 = 5Y

Make X the subject in X + 3 = 3Y

X = 3Y - 3

Substitute X = 3Y - 3 in 2X - 5 = 5Y

2(3Y - 3) - 5 = 5Y

Expand

6Y - 6 - 5 = 5Y

Evaluate the like terms

Y = 11

Substitute Y = 11 in X = 3Y - 3

X = 3*11 - 3

Evaluate

X = 30

Hence, the values of X and Y are 30 and 11 respectively

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

8 0
1 year ago
What is the factored form of 2x2 + x-3?
Vesnalui [34]

Answer:

Step-by-step explanation:

a = 2, b = 1, c = -3

We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.

a * c = 6  and the factors of 6 and 1 and 6, 2 and 3.  Well, 6 - 1 doesn't equal 1 and neither does 6 + 1.  So our factors are 3 and 2.  In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1.  That means that 3 is positive and 2 is negative.  Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):

2x^2+3x-2x-3=0

Group the first 2 terms together and the second 2 term together in order to factor:

(2x^2+3x)-(2x-3)=0 and factor out what's common in each set of parenthesis.

x(2x+3)-1(2x+3)=0

Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with.  We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same.  Ours are identical: (2x + 3).  That is common now, and can be factored out:

(2x+3)(x-1)=0

That matches your first choice

6 0
3 years ago
Workout the area of this circle give your answer in terms of pi and state its units
Mice21 [21]

Answer:

Step-by-step explanation:

Wheres the circle

I can solve it if I can see the circle

6 0
3 years ago
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