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2 years ago

Find the volume of a rectangular prism

Mathematics

1 answer:

Digiron [165]2 years ago

8 0

Step-by-step explanation:

you know how to calculate the area of a rectangle ?

it is length × width.

now the volume of a 3D-rectangle (= a rectangular prism) is simply

length × width × height.

in our case

5 1/2 × 1 1/2 × 2 = 11/2 × 3/2 × 2 = 33/2 =

= 16 1/2 cubic units

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Ne4ueva [31]

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3 years ago

If P(x,y) is the point on the unit circle defined by real number e, then csce =

olasank [31]

Answer:

$csc(e) = \frac{1}{y}$

Step-by-step explanation:

It is given that the point P(x, y) lies on the unit circle and is defined by real number e. We have to find csc(e) i.e cosecant of (e)

This scenario is represented in the figure attached below.

The formula of csc is:

$csc(\theta) = \frac{\text{Hypotenuse}}{\text{Opposite}}$

A right angled triangle is constructed, as shown in figure. The hypotenuse of the triangle forms the radius of the circle. Since, the circle is a unit circle the length of hypotenuse would be equal to 1.

Hypotenuse = 1

So, the formula of csc would be reduced to:

$csc(e) = \frac{1}{\text{Opposite}}$

The side opposite to the angle made at origin is y. So,

$csc(e) = \frac{1}{y}$

6 0

3 years ago

Read 2 more answers

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. Two lines labeled f(x) and g(x). Line f(x) passes throu

AleksAgata [21]

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3 years ago

A Blimp is 400 feet in the air. There is an angle of depression of 40 degrees to a football stadium. How far is the Blimp from t

VMariaS [17]

Answer:

Step-by-step explanation:

The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.

The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.

Applying trigonometric ratio,

Sin 40 = 400/x

xsin40 = 400

x = 400/sin40 = 400 / 0.6428

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3 years ago

The sum of three consecutive integers is 198. What are the integers?

-BARSIC- [3]

Answer:

The sum of three consecutive integers for 198 are 65, 66, and 67

Definition of "INTEGERS"

1. a whole number; a number that is not a fraction.

2. a thing complete in itself.

Step-by-step explanation:

198 = x + x + 1 + x + 2

combine like numbers

198 = 3x + 3

subtract 3 from like numbers (in this case)

198 - 3 = 3x + 3 - 3

195 = 3x

divide by 3

195/3 = 3x/3

65 = x

x + 1 = 65 + 1 ---66

x + 2 = 65 +2 --67

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4 years ago