A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height of the prism is 30 ft which expression gives the volume of the pyramid ?
15b
10b
5b
30b

Answer:

m<D is [tex]13^{0}[/tex]

Step-by-step explanation:

Vertically opposite angles are said to be equal angles, thus;

                   m<C = m<D

So that,

              -3x + 58 = x -2

             -3x - x = -2 -58

               - 4x = - 60

                 x = [tex]\frac{- 60}{- 4}[/tex]

                 x = 15

Thus,

  m< D = x - 2

           = 15 - 2

           = [tex]13^{0}[/tex]

Therefore, m<D is [tex]13^{0}[/tex]

If the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter. While volume is a three-dimensional space enclosed by an object or thing.

It is given that, a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters.

We have to find the density of the gold.

Density = mass/volume

Density = 4,830 / 0.25

Density = 19,320 kg/m

Thus, if the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

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Answer:  The largest ratio is (d) 1 : 3.

Step-by-step explanation:  We are given to select the larges ratio among the given options.

The first ratio is

[tex]\dfrac{5}{36}.[/tex]

The second ratio is

[tex]2:9=\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}.[/tex]

The third ratio is

[tex]3\textup{ to }18=\dfrac{3}{18}=\dfrac{3\times 2}{18\times 2}=\dfrac{6}{36}.[/tex]

The fourth ratio is

[tex]1:3=\dfrac{1}{3}=\dfrac{1\times 12}{3\times 12}=\dfrac{12}{36}.[/tex]

Arranging all the ratios in ascending order, we have

[tex]\dfrac{5}{36},~\dfrac{6}{36},~\dfrac{8}{36},~\dfrac{12}{36}\\\\\\\Rightarrow \dfrac{5}{36},~\dfrac{3}{18},~\dfrac{2}{9},~\dfrac{1}{3}.[/tex]

Thus, the largest ratio is (d) 1 : 3.

The total number of tickets sold wer2 414 tickets.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, for every two adult tickets, seven student tickets are sold.

So, the ratio is 2:7

Here, 2+7 =9

The number of adult tickets sold were 92.

Let the total number of tickets be x.

Now, number of student tickets

2/9 ×x=92

2x=92×9

2x=828

x=414

Therefore, the total number of tickets sold wer2 414 tickets.

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The surface area of the cube is approximately 396, and the next whole number after that is 397.

17/7 as a repeating decimal is approximately 2.428571.

To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.

In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.

To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.

To square the fraction, you need to square the numerator and the denominator separately.

(65/8)^2 = (65^2)/(8^2) = 4225/64

Now, multiply this result by 6:

(4225/64) * 6 = 25350/64

To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.

25350/64 ≈ 396.09375

Rounding this to the nearest whole number, you get 396.

The next whole number after 396 is 397.

Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.

Now, let's move on to the next question:

To write the fraction 17/7 as a repeating decimal, you need to perform long division.

Divide 17 by 7:

2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10

The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.

The expression 12 + 3 + 5 + 6 is rewrite as 26. The original problem will be 26.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Pilar wanted to use estimation to solve a decimal addition problem.

She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6.

Then the original problem will be

⇒ 12 + 3 + 5 + 6

⇒ 26

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The number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Jason spends [tex]2\frac{2}{3}[/tex] hours more at the camp, he will complete 7 hours of camp counseling.

Now, 7- [tex]2\frac{2}{3}[/tex]

= 7-8/3

= (21-8)/3

= 13/3

= [tex]4\frac{1}{3}[/tex]

Therefore, the number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.

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Gradient = rise/run

= 4/1

So, rate of change is 4

Hope this helps!

There are 3 cups of 1/4 cups in 3/4 cups.

explanation;

3/4 is equal to 3 times 1/4. 3 times

⇒ 1/4 implies 3×1/4 = 3/4.

A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.

The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among  or more matters.

A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.

The ratio is the relationship or evaluation among two quantities of the identical unit to check how bigger is one variety than the alternative one. it is written as a/b or a: b in which b isn't always identical to zero. A share is an equality of  ratios. Proportions are used to write down equal ratios which helps to resolve the unknown quantities. The numbers in a ratio can be quantities of any type, along with counts of people or objects, or along with measurements of lengths, weights, time, and so on. In maximum contexts, both numbers are confined to be fine.

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started with 225 added 75

225 +75 = 300 then added 200

300 +200 = 500, took 50 out

500-50 = 450 then added 125

450 +125 = 575

895-575 = 320

 Answer is B $320

Answer:

Answer is B $320

Step-by-step explanation:

The common ratio, r of the geometric sequence

24,−6,32,−38,... is -1/4

nth term of a geometric sequence = ar^(n-1)

Common ratio, r = second term ÷ first term

= -6/24

= -1/4

r = -38/32

= -18/16

= -9/8

It seems the third and fourth term, 32 and -38 do not correspond with the given ratio.

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