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-BARSIC- [3]
3 years ago
11

The attic of a house has the shape of a triangular prism. The triangular end of the attic has a base that is 12 feet across and

a height of 8 feet. The length of the attic is 30 feet from front to back.
 
What is the volume of the attic?
 
____ ft3 
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
1440ft3 would be your beloved answer
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Please help and solve for x! (: thank you in advance.
Vera_Pavlovna [14]
First look at the given numbers, especially 123 degrees which if you add up the other side it equals 180 degrees so:
180-123= 57 
Ok now you know two sides of the triangle and you know that all the 3 sides add up to 360 degrees so:
57+75= 132
180-132= 48

6 0
3 years ago
Translate each question.<br> Four times the difference of a number and 7 is 32
schepotkina [342]
“Four times the difference of a number and 7 is 32”
Translation-
4(x-7)=32
6 0
3 years ago
One number is 4 more than another. the difference between their squares is 64. what are the numbers
lora16 [44]
We have to set up 2 different equations if we are to solve for 2 unknowns.  The first equation is x = y + 4.  One number (x) is (=) 4 more than another (y + 4).  Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger.  The second equation then is x^{2} - y^{2} =64.  In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation: (y+4) ^{2} - y^{2} =64.  Expand that binomial to get y^{2} +8y+16- y^{2} =64.  Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64.  Solving for y we get that y = 6.  Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!

5 0
3 years ago
I need help please<br><br> I will give points and brainlest
Nastasia [14]

Answer:

  a. 2 7/9 miles

  b. 21.6 minutes

  c. 8 1/3 miles

Step-by-step explanation:

The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.

We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...

  k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile

__

<h3>a.</h3>

The proportion can be written ...

  distance/(20 minutes) = (1 mile)/(7.2 minutes)

  distance = (20/7.2) miles = 2 7/9 miles

Catlin will run 2 7/9 miles in 20 minutes

__

<h3>b.</h3>

The proportion can be written ...

  time/(3 miles) = (7.2 minutes)/(1 mile)

  time = (3)(7.2 minutes) = 21.6 minutes

Catlin was running 21.6 minutes

__

<h3>c.</h3>

In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...

  3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles

Catlin will run 8 1/3 miles in one hour.

_____

<em>Additional comment</em>

Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.

3 0
2 years ago
How to turn a fraction into a decimal
Mila [183]
To turn a fraction into a decimal you have to divide the numerator by the denominator. For example: 6/7 into a decimal would be 1.16666667 because 7 / 6 = <span>1.16666667

Hope I helped!

</span>
6 0
3 years ago
Read 2 more answers
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