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Yakvenalex [24]
3 years ago
13

Find the volume of a pyramid with a square base, where the area of the base is 19.8 cm2 and the height of the pyramid is 13.9cm.

Round your answer to the nearest tenth of a cubic centimeter
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

91.7 cm^3

Step-by-step explanation:

Vol=\frac{1}{3} \times base area \times height=\frac{1}{3} \times 19.8 \times 13.9= 91.7 cm^{3}

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if your gross pay was $365 and your net pay was $313.90 what percent of your pay went towards deductions
tatiyna
I believe it would be 15%
5 0
3 years ago
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
2 years ago
Increase £14187.13 by 14.5%
zhenek [66]

Answer:

16,244.26

Step-by-step explanation:

14,187.13 + (14.5% × 14,187.13) =

14,187.13 + 14.5% × 14,187.13 =

(1 + 14.5%) × 14,187.13 =

(100% + 14.5%) × 14,187.13 =

114.5% × 14,187.13 =

114.5 ÷ 100 × 14,187.13 =

114.5 × 14,187.13 ÷ 100 =

1,624,426.385 ÷ 100 =

16,244.26385 ≈

5 0
3 years ago
Read 2 more answers
The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confiden
saw5 [17]

Answer:

it is clear that at 95% confidence that the bonus plan has increased the sales significantly, because if we observe you will notice that sales after is greater than sales before in all six cases.

Step-by-step explanation:

A 95% confidence interval as we have above is the range of values that we can say with utmost certainty and confidence that 95% chance it contains the true mean of the population. in other words we can say that a  95% confidence interval defines a range of values that you can be 95% certain contains the population mean.

4 0
3 years ago
A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.5 m/s . (You can ignore air re
lozanna [386]
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

Flight time = 2* ascendent time

ascendent time => final vertical velocity, Vy, = 0

sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0  => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

This is the ascendant time going upward.

The flight time is 2*1.83 = 3.66 s

Horizontal motion

Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
5 0
3 years ago
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