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Helga [31]
3 years ago
9

There's a piece of a pyramid is a rectangle with a width of 4.6 cm and the length of the 9 cm. What is the height in centimeters

of the pyramid if it's volume is 82.8 cm^3
Mathematics
1 answer:
Dominik [7]3 years ago
8 0

Answer:

6cm

Step-by-step explanation:

Given data

Width= 4.6cm

Length= 9cm

Volume= 82.8cm^3

The expression for the volume is given as

V= lwh/3

82.8= 9*4.6*h/3

cross multiply

82.8*3= 9*4.6*h

248.4= 41.4h

h= 248.4/41.4

h= 6cm

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Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.
Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = x^2

f(g(x)) = 2x^2+2.

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

7 0
3 years ago
A car is on a driveway that is inclined 10 degrees to the horizontal. A force of 490 lb is required to keep the car from rolling
lara31 [8.8K]

Answer:

a) weight  of the car = 2816,1 lbs

b) 2773 lbs

Step-by-step explanation:

The equilibrium force is 490 lbs. That force keep the car at rest, then

∑ Fy  =  0     and  ∑Fx  =  0

Forces acting on the car:

The external force   490 lbs

weight of the car   uknown

Normal force

sin∠10°  =  0,174

cos∠10° = 0.985

∑Fx  =  0         mg*sin10°- 490 = 0      ∑Fy =  0      mg*cos10° - N  =  0

mg*0,174= 490

mg  =  490 / 0,174

mg = 2816,1 lbs

weight  of the car = 2816,1 lbs

The Normal force

mg*cos10° - N  =  0        2816,1 * 0,985 = N

N = 2773 lbs

Then equal force in magnitude and in opposite direction will car exets on the driveway

3 0
3 years ago
Laura is saving money to buy a game. The game cost $36, and so far she has saved three- fourths of this cost. How much money has
Andreyy89

Answer:

27

Step-by-step explanation:

3/4*36=27

therefore the answer is

27

5 0
3 years ago
What is 24 percent of 289
kap26 [50]
It would be: 289*24/100 = 6936/100 = 69.36
7 0
3 years ago
Which situation involves descriptive statistics?
irinina [24]

Answer:

C

Step-by-step explanation:

Descriptive statistics describe an event that happens over time.  So bowler striking on 1/5 of his throws that night would be an example of descriptive statistics.

7 0
3 years ago
Read 2 more answers
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