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3 years ago

What is the volume of a pyramid with a base of 22 and a height of 24

Mathematics

1 answer:

larisa86 [58]3 years ago

8 0

Answer:3872

Step-by-step explanation: If base length and base width equal 22, and pyramid height is 24 then you multiply those and divide by three.

V= $\frac{22x22x24}{3}$

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Simplify <br> 3 2/3 - 2 3/4 =

Rasek [7]

Answer: 11/12

Step-by-step explanation:

1. To solve this problem you can transform the mixed numbers given in the problem to fractions, as you can see below:

3 2/3=(3*3+2)/3=11/3

2 3/4=(4*2+3)/4=11/4

2. Now you must make the substraction of the fraction:

11/3-11/4=11/12

3. Therefore, the answer is 11/12

6 0

3 years ago

I don’t know how to explain on why the student was incorrect

Zolol [24]

Answer:

the constant proportionality means the ratio between two directly proportional quantities.

so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25

constant proportionality should be same all through because it's a constant

7 0

3 years ago

triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what

scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0

2 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar at this rate how many cups of sugar should be us

maks197457 [2]

The answer would be 5/3 or 1 2/3

4 0

3 years ago