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nexus9112 [7]
3 years ago
8

What is the volume of the rectangular pyramid shown​

Mathematics
1 answer:
user100 [1]3 years ago
4 0

Answer:

80 cm^3 = V

Step-by-step explanation:

The volume of a rectangular pyramid of base area A and height h is

V = (1/3)(base)(height).

Given that the dimensions of the base are L = 10 cm and W = 4 cm, the base area is 40 cm^2.

The height of the pyramid is h = 6 cm.

Therefore the volume of this particular pyramid is

V = (1/3)(40 cm^2)(6 cm), or V = 80 cm^3

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An instructor asked her students how much time (to the nearest hour) they spent studying for the midterm. The data are displayed
BARSIC [14]

Based on the data displayed in the histogram, the percentage of students who study 2 or more hours for the midterm is 88%.

<h3>What percentage study 2 hours or more?</h3>

First, find the number of students studying:

= 3 + 9 + 6 + 3 + 2 + 1 + 1

= 25

The number of students studying 2 or more hours for the exam are:

= 9 + 6 + 3 + 2 + 1 + 1

= 22 students

The percentage studying for two hours or more is:

= 22 / 25

= 88%

Find out more on percentages at brainly.com/question/25567167.

#SPJ1

8 0
1 year ago
A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
liubo4ka [24]

Answer:

At a speed of 57 mph for 8 hr a driver will travel 456 mi

Step-by-step explanation:

Here we have a summary of the letters for each variable:

Speed ---> r          (in units of mph)

Time ---> t            (in units of hr)

Distance ---> d     (in units of mi)

These three variables are related by the next formula:

d = rt

In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:

r = 57 mph

t = 8 hr

The only thing you have to do is replace the values:

d = rt    ---->     d = 57 mph x 8 hr

                        d = 456 mi

5 0
3 years ago
Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.
svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

\frac{F(b)-F(a)}{b-a}

In this case, F(x) = 0.5x^{2} +5x+9

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = (0.5)4^{2} + 5(4) +9= 37

F(a) = (0.5)2^{2} + 5(2)+9=21

\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8

The answer is 8.

3 0
2 years ago
Find the value of x and show work
Oksana_A [137]

Step-by-step explanation:

35+35+x=180 (sum of interior angles of an triangle is 180

therefore

x=180-70

x=110

3 0
2 years ago
Solve for x: x^2+4x-5=16x
BigorU [14]
Solve for x: x^2+4x-5=16x
first take 16x from both sides of the equation
x²-12x-5=0
now we have a quadratic. we can solve it by using the quadratic formula
x=-b plus or minus the square root of b²-4ac all divided by 2a
where a=1, b=-12 and c=-5
plug these numbers into the formula
x=12 plus or minus the square root of 144-4x1x-5 all divided by 2
<span>x=12 plus or minus the square root of 164 all divided by 2
or in decimal form </span>x = {12.403124237, -0.403124237}
6 0
2 years ago
Read 2 more answers
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