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inn [45]
3 years ago
9

Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us

e the drop-down menus to explain how to determine the volume of the paperweight. Needdddd major hellllpppp pleaseeee!!!!! 40 points!!!

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

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What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1
Liula [17]

Answer:

-6

Step-by-step explanation:

The equation is y = -7x - 6.

The initial value is found when x = 0.

y = -7(0) - 6

y = 0 - 6

y = -6

6 0
2 years ago
How many times does the graph of the function below interect or touch the x-axis? y=-2x^2+3x+5
Andrei [34K]

Answer:

Two times at (-1,0) and (2.5,0)

Step-by-step explanation:

When the graph intersects or touches x-axis, y is equal to 0

so y = -2x^2 + 3x + 5

=> 0 = -2x^2 + 3x + 5

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

so a = -2

    b = 3

    c = 5

substitute in the formula

x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)

x = [-3 +/- √(9 + 40)]/(-4)

x = [-3 +/- 7]/(-4)

x1 = (-3 + 7)/(-4) = 4/-4 = -1

x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5

so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times

7 0
2 years ago
Nine times a number subtracted from another number​
ANTONII [103]

9x mean 9 multipled with an unkown number and 9x is subtracted from another unknown number 'y' . you can substitute with any letters you want ,but you have to use two different letters.

6 0
2 years ago
CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!
In-s [12.5K]

Answer:

no

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

6 0
2 years ago
Read 2 more answers
Someone please help I don't understand this
mylen [45]

What you have to do is first subtract 20 from 80 and get 60 then use the data to fill in the blanks!

Hope this helps!!!

5 0
3 years ago
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