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Mathematics

1 answer:

fgiga [73]3 years ago

6 0

9514 1404 393

Answer:

C. 96 ft³

Step-by-step explanation:

The area of the triangular base is ...

A = 1/2bh

A = 1/2(6 ft)(8 ft) = 24 ft²

Then the volume is ...

V = 1/3Bh . . . . . where B is the base area and h is the height

V = 1/3(24 ft²)(12 ft) = 96 ft³ . . . . volume of pyramid

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Kris spent for 4.37 hours per day for 3 days practicing soccer this week. Amelia spent 6.39 hours per day for 4 days practicing

postnew [5]

Kris:
4.37 hours per day for 3 days.
To find the total practice time, multiply the practice time per day by the number of days.
4.37 • 3 = 13.11
This means Kris practiced for 13.11 hours.

Amelia:
6.39 hours per day for 4 days.
To find the total practice time, multiply the practice time per day by the number of days.
6.39 • 4 = 25.56
This means Amelia practiced for 25.56 hours.

To find the difference, just subtract Kris's practice time from Amelia's practice time.
25.56 - 13.11 = 12.45

This means Amelia practiced for 12.45 more hours than Kris.

6 0

4 years ago

Read 2 more answers

LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Dete

svp [43]

Answer:

$m\angle L = 111\degree \\m\angle M = 69\degree$

Step-by-step explanation:

Since, angle L and angle M are supplementary.

$\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\$