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Elina [12.6K]
3 years ago
7

Write -9.42 as a mixed number.

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

-9 21/50

Step-by-step explanation:

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A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

5 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of the line that is parallel to AB and passes through Point X. Show all
DanielleElmas [232]

find y=mx+b for line parallel to AB.

The line that is parallel will have the same slope as line AB:

the slope of line AB is

m=(8-3)/(-10-2)

=5/-12

=-5/12

Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).

at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.

To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so

4+4=8

7 0
2 years ago
A video game system and several games are sold for $500. The cost of the game is 3 times as much as the cost of the system . Fin
Shalnov [3]
We have to start by creating an equation. 

Cost of System = x
Cost of games = 3x

Thus x + 3x = $500

Now we find x.

4x = 500,
x = 500/4 = 125

So the system is 125,
The games, 125*3 = 375
5 0
3 years ago
Read 2 more answers
I learned how to find the area of a triangle with 2 numbers (0.5*b*h), but how do you find the area with 4 numbers?
julsineya [31]

Answer:

area =12

Step-by-step explanation: you don't need to use all 4 numbers just used the base which is 8 then times it with 3 which gives you 24 then divided it by 2 which gives you 12.

3 0
3 years ago
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A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts.
Salsk061 [2.6K]

Answer:

D

Step-by-step explanation:

You can infer to the solution of this problem by looking at the choices. Hope this helped :)

7 0
2 years ago
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