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Aloiza [94]
3 years ago
8

The house shown is a composite of more than one shape. Which of these methods would you use to find the volume of the house?

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer: Add the volume of a rectangular prism to the volume of a triangular prism.

Step-by-step explanation:

A. Find the volume of a pyramid.

Neither of the shapes shown are a pyramid and there should be two shapes added together.

B. Find the volume of a rectangular prism.

There should be two shapes being added together, however this is one of the shapes shown.

C. Add the volume of a rectangular prism to the volume of a triangular prism.

This is the answer because the bottom shape of the house is a rectangular prism since there are six faces all with four sides. The top shape is a triangular prism because two of the faces are triangles and the other three are rectangles. This shape would not be a pyramid because in order for it to be categorized that way it would need at least four triangular faces that connect at a point.

D. Add the volume of a rectangular prism and a pyramid.

The triangular prism is shown, however the shape used to represent the roof of the house would be classified as a rectangular prism.

zimovet [89]3 years ago
4 0

Answer:

find the area on one shape and the area of the other and add the shapes areas to get your answer

Step-by-step explanation:

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TiliK225 [7]

Answer:

x=2

Step-by-step explanation:

-3x+4=2(-x+1)

-3x+4=-2x+2

-3x+2x=2-4

-x=-2

x=2

7 0
4 years ago
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
valina [46]

Answer:

it is 96

Step-by-step explanation:

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3 years ago
Can someone help me ?! Relationships between angle measures and side lengths in a triangle.
Likurg_2 [28]

Answer:

41<67<72

Step-by-step explanation:

Since all 3 angles in a triangle add up to 180 degrees, you will need to add the two angles you have, and then subtract that from 180 to find the measurement of angle K.

41+67=108

180-108=72

Now you would just use your common knowledge and put arrange the measurements to be least to greatest!

41<67<72

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7 0
3 years ago
Read 2 more answers
A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
HACTEHA [7]

Answer:

-\frac{1}{2}y^2-4y+1=x

Step-by-step explanation:

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

General form of  horizontal parabola is

(y-k)^2=4p(x-h)

the distance between directrix and focus is the value of p

so p = 8.5 - 9.5 = -0.5

Focus is (h+p , k), given focus is (8.5, -4)

So k = -4 and h+p = 8.5

we know p = -0.5

h +p = 8.5

h - 0.5 = 8.5

so h= 9                   and k = -4

vertex is (h,k) that is (9, -4)

Now plug in the value in the general equation

(y-k)^2=4p(x-h), k= -4, h= 9 , p = -0.5

(y+4)^2=4(-0.5)(x-9)

(y+4)^2=-2(x-9)

y^2+8y+16=-2x+18

subtract 18 on both sides

y^2+8y-2=-2x

Divide whole equation by -2

-\frac{1}{2}y^2-4y+1=x




4 0
3 years ago
How do you graph <br> y=3x and y=-x-8
laila [671]

Answer:

The points for the given two linear equation as

x_1 , y_1 = - 2 , - 6

x_2 , y_2 = - 2 , 6

The graph so plotted as shown

Step-by-step explanation:

Given as :

The two linear equation are

y = 3 x                 ........A and

y = - x - 8             .........B

Solving equation A and B

Now, Put The value of y from eq A into eq B

So, 3 x = - x - 8

Or, 3 x + x = - 8

Or, 4 x = - 8

∴ x = \dfrac{-8}{4}

I.e x = - 2

Now , Put the value of x into eq A

∵ y = 3 x

∴ y = 3 × (-2)

I.e y = - 6

Again, Put the value of x into eq B

∵ y = - x - 8

∴ y = - 2 - (-8)

I.e y = 6

So, for x = - 2 , y = - 6

And for x = - 2 , y = 6

Hence , The points for the given two linear equation as

x_1 , y_1 = - 2 , - 6

x_2 , y_2 = - 2 , 6

The graph so plotted as shown . Answer

8 0
4 years ago
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