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4 years ago

What is the volume of a square pyramid that is 15 cm tall and has a base area of 16 square centimeters?

Mathematics

1 answer:

AlladinOne [14]4 years ago

8 0

Answer:

The volume of the square pyramid is $80\ cm^{3}$

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base of pyramid

h is the height of the pyramid

in this problem we have

$B=16\ cm^{2}$

$h=15\ cm^{2}$

substitute the values

$V=\frac{1}{3}(16)(15)=80\ cm^{3}$

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f(x) = |x| will give you V graph

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4 years ago

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Find the slope of the line going through the points (0, -5) and (-2,1)

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Answer:

$\displaystyle m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (0, -5)

Point (-2, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-5-1}{0--2}$
[Fraction - Denominator] Simplify: $\displaystyle m=\frac{-5-1}{0+2}$
[Fraction - Numerator] Subtract: $\displaystyle m=\frac{-6}{0+2}$
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3 years ago

Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models

kumpel [21]

Answer:

Option C $\left|80-5x\right|\le 4$

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above $80

$5x\leq 80+4$

Solve for x

$x\leq \$16.80$

The total cost to be no more than $4 below $80

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$

therefore

The inequality that represent this problem is

$\left|5x-80\right|\le 4$

Verify

First solution (positive case)

$+(5x-80)\le 4$

$5x\le 80+4$

Solve for x

$x\leq \$16.80$ ----> is ok

Second solution (negative case)

$-(5x-80)\le 4$

Multiply by -1 both sides

$(5x-80)\ge -4$

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$ ---> is ok

Remember that

$\left|5x-80\right|\le 4$ is equivalent to $\left|80-5x\right|\le 4$

Because is a absolute value

8 0

3 years ago