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Rufina [12.5K]
3 years ago
10

What is the volume of the following rectangular prism?

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

7 1/3

Step-by-step explanation:

Multiply then simplify

suter [353]3 years ago
4 0

Answer:

25

Step-by-step explanation:

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5x + 7y = 17<br> x + 4y = 19
REY [17]
<h2>Answer:</h2>

5x + 7y = 17 ....(1)

x + 4y = 19 .....(2)

<u>From equation 2</u>

x + 4y = 19

x = 19 - 4y

<u>Putting the value of x in Equation (1)</u>

5(19 - 4y) + 7y = 17

95 - 20y + 7y = 17

- 20y + 7y = 17 - 95

-13y = -78

y = \frac{78}{13}

y = 6

<u>Now, putting the value of y in equation </u><u>(</u><u>2</u><u>)</u>

x + 4y = 19

x + 4(6) = 19

x + 24 = 19

x = 19 - 24

x = -5

<u>Therefore, the value of y is 6 and value of x is -5</u>

5 0
3 years ago
Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). Ho
BigorU [14]

Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

Perimeter of a square = 4 × (length of a side)

                                    = 4 × (AB)

Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = \sqrt{(2+2)^2+(7-1)^2}

AB = \sqrt{4^2+6^2}

AB = \sqrt{52}

AB = 2\sqrt{13}

Now area of  square ABCD = 4 × 2\sqrt{13}

                                              = 8\sqrt{13} unit

Therefore, option (1) will be the answer.

7 0
3 years ago
The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop. If a 1,425 square foot sh
Serhud [2]

Answer:

58240

Step-by-step explanation:

from 1,425 to get to 45,600 you multiply it by 32

1,820 times 32 is 58240

7 0
2 years ago
Read 2 more answers
What are all these answers
Xelga [282]
Number is an isosceles triangle number seven is a right angle triangle number 9 I believe is a scalene triangle number 10 is a right angle triangle I also believe 11 is a scalene triangle and I believe number 8 is equilateral triangle
8 0
3 years ago
I need help getting the answer for the 1st question
Karo-lina-s [1.5K]
If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:

base 1 /height 1=base 2 /height 2

Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x

We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m

Answer. the heigth of the tower will 40 m

3 0
3 years ago
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