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erma4kov [3.2K]
3 years ago
14

_________km3 what is the volume of the pyramid

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

The volume of the pyramid is 792\ km^3

Explanation:

It is given that the base of the pyramid is a right triangle.

The formula to determine the volume of the pyramid is given by

V=\frac{l w h}{3}

where l is the base length of the pyramid,

w is the base width of the pyramid and

h is the height of the pyramid.

From the figure, we can see that,

l=9, w=12 and h=22

Substituting these values in the formula V=\frac{l w h}{3} , we have,

V=\frac{(9)(12)(22)}{3}

Multiplying the numerator, we get,

V=\frac{2376}{3}

Dividing, we get,

V=792

Thus, the volume of the pyramid is 792\ km^3

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If WX= 82 cm, find the length of YZ. (OV = 9cm and OV is perpendicular to YZ)
damaskus [11]

The length of the measure of YZ is 80cm

<h3>Perpendicular lines</h3>

Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;

WX = 82cm

Required

Length. of YZ

Using the pythagoras theorem

YV = VZ = √41²-9²

YV = VZ = √1600

YV = VZ = 40

Since YZ = YV + VZ

YZ = 40cm + 40cm

YZ= 80cm

Hence the length of the measure of YZ is 80cm

Learn more on perpendicular lines here: brainly.com/question/1202004

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5 0
2 years ago
For each of the following variables, identify the type of variable (categorical vs. numerical).
Black_prince [1.1K]

Answer:

3) (I) Numeric , and (II) Numeric

Step-by-step explanation:

Numeric variable:

The variable assume number values.

Categorical values:

The variable assumes labels. Examples are yes/no, good/bad.

(I) Fuel economy (miles per gallon) of used car

(II) Number of auto insurance claims in a month

Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).

7 0
3 years ago
5 tons of rocks cost $8,200.00. What is the price per pound?<br><br>2000 ibs =1 ton
natima [27]
Since 2000 lbs = 1 ton then 5 tons = 10,000 lbs. Then tak $8,200 ÷ 10,000 lb= $.82 per pound
8 0
3 years ago
Is -33 irrational or rational?
vladimir2022 [97]

-33 is a rational number. It is an integer with a definitive stopping point (by this I mean it is not a decimal number with endless repeating digits).

4 0
3 years ago
En la escuela Francisco I. Madero de ciudad Delicias, llevaron a cabo el festejo para
REY [17]

Answer:

The number of unsold cakes was 2

Step-by-step explanation:

<u><em>The question in English is</em></u>

In the school Francisco I. Madero of Ciudad Delicias, the celebration was held for  commemorate the arrival of spring, after the parade the stalls were set up  of the kermesse. The first grade group bought 8 cakes and sold 3/4 of the total.

How much of the cake was not sold?

Let

x ----> number of cakes sold

y ----> number of cakes that didn't sell

we know that

The first grade group bought 8 cakes

so

x+y=8 -----> equation A

The first grade group sold 3/4 of the total.

so

x=\frac{3}{4}(x+y) ---> equation B

substitute equation A in equation B

x=\frac{3}{4}(8)=6

Find the value of y

6+y=8

y=2

therefore

The number of unsold cakes was 2

4 0
3 years ago
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