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lakkis [162]
3 years ago
11

What is the volume of a pyramid that has a base with an area of 81 square feet and a height of 4 feet?

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

108ft³

Step-by-step explanation:

V=(base area) (h/3)   =    81 (4 /3) =108ft³

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Find the value of x.
Fynjy0 [20]
Answer: x =42°

The angles are equal
7 0
3 years ago
PLEASE HELP 15 POINTS WILL GIVE BRAINLIEST The following formula, F = ma, relates three quantities: Force (F), mass (m), and acc
8_murik_8 [283]
Part A

The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication

F = ma
F = m*a
F/m = m*a/m
F/m = a
a = F/m

Answer: a = F/m
Note: the slash "/" without quotes means "divide"

===========================================
Part B

Use the result from part A. We will plug F = -24 and m = 10 into that equation

a = F/m
a = -24/10
a = -2.4

Answer: -2.4

===========================================
Part C

We will use the equation F = m*a

F = m*a
24 = m*12 ... plug in F = 24 and a = 12
24/12 = m*12/12
2 = m
m = 2

Answer: 2


4 0
3 years ago
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
I just need the answer helps my computer is on 38 percent
Arte-miy333 [17]
\begin{gathered} \text{  The area of the desk is the area of the big rectangle, plus the area of the little one } \\ A=5\cdot4+2\cdot4 \\ A=20+8 \\ A=28 \\  \\ \text{ The area is 28 square feet} \end{gathered}

4 0
1 year ago
Mercy marks up all goods she sells by 30%.What is the mark up of a hat that cost her $42?
Delvig [45]

Answer:

$12.60

Step-by-step explanation:

42/30%=42/0.3=$12.60

Brainleist plz

(comment if spelling is wrong anywhere)

3 0
3 years ago
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