The volume of a pyramid with a square base is given by the expression 1 / 3 s2 ( 2 is the exponent ) h, where s is the length of a side of the base and h is the heigth. Find the volume of a pyramid with a square base of side length 24 feet and a heigth of 30 feet. Please I need help on this..

Answers

Answer 1
Answer: V=(1)/(3)\cdot24^2\cdot30\nV=10\cdot576\nV=5760 \text { ft}^2

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What is the perimeter of a rectangle with length 12m and width 5
103 is 20% of what number
Find the solution of this system of equations. Separate the x- and y- values with a comma.X= -8+y-11x+9y=4

Somebody help me quickly please:)

Answers

I believe c since it's 2 times smaller and the letters are going in the same alphabetic order as the first rectangle
C I’m pretty sure sorry if I’m wrong

There are 25 pupils in a class 11 pupils scored below 50 marks in a math test and the rest scored 50 marks or above if the passing mark is 50 find the percentage of pupils who passed the test. Step by step

Answers

Step 1: 25 - 11 = 14 (This is the number of pupils who passed the test)

Step 2: 14/25 = .56

Step 3: .56 is 56%

Answer: 56% of pupils passed the test

25 people total
passing mark is 50%

total number of people (25) - people who didn’t pass (11) = people who passed

25-11=14

HELP PLEASE!?!17. A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.
a. Find the length of the side of the lot opposite the 60° angle.
b. Find the length of the hypotenuse of the triangular lot.
c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places.

Answers

The attached pic shows each step.
Multiply to negative 60 add to negative 11

Gabriella went shopping for a new pair of pants because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

I think it is 0.3 hope it helps

Answer:

Step-by-step explanation:

Just multiply by 0,3

For EXAMPLE

30% of 100 would be 30

100 x 0,3 = 30

How Do I Find The Domain & Range Of
y=2x-4 ?

Answers

Both the domain and range of the function is in range -

( - ∞ , + ∞ )

We have the following function -

y = f(x) = 2x - 4

We have to identify its Domain and Range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

Consider the equation given -

y = 2x - 4

If we compare it with the general equation of line -

y = mx + c

We get -

m = 2 and c = - 4

Now this graph of the equation y = mx + c represents a straight line.

Hence, both the domain and range of the function are-

( - ∞ , + ∞ )

To solve more questions on Domain and Range, visit the link below -

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The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.

Evaluate the exact value: tan(pi/6)

Answers

pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

The exact value of tan (π/6) is 1/√3.

Given a trigonometric function,

tan (π/6)

We have to find the exact value of the given function.

We know that, the value of π/6 in degrees is 30 degrees.

So here, we have to find the value of tangent function of 30 degrees.

We know that,

Tan (x) = sin (x) / cos (x)

Here x = π/6

Tan (π/6) = sin (π/6) / cos (π/6)

               = (1/2) / (√3 / 2)

               = 1/√3

Hence the tan (π/6) is 1/√3.

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