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2 years ago

A swimming pool is shaped like a right rectangular prism with length 20 feet, height 8 feet,

Mathematics

2 answers:

Rufina [12.5K]2 years ago

8 0

Answer:

2,100 cubic feet

Step-by-step explanation:

20 × 15 × 8 = 2,400

20 × 15 × 1 = 300

2,400 - 300 = 2,100

eduard2 years ago

8 0

Answer: I took the test it is 2,100

Step-by-step explanation:

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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers

a temperature of -6° is colder than a temperature of 5°f below zero . is this statement true or false ?

olga nikolaevna [1]

True because 0-5 is -5

7 0

3 years ago

Which undefined term is used to define an angle ?

enyata [817]

Point.

<h3>Further explanation</h3>

This is one of the classic problems of Euclidean geometry.
The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.

Types of Angles

The acute angle represents an angle whose measure is greater than 0° and less than 90°.
The right angle is an angle that measures 90° precisely.
The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.

Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

<h3>Learn more </h3>

Undefined terms are implemented to define a ray brainly.com/question/1087090
Definition of the line segment brainly.com/question/909890
What are three collinear points on a line? brainly.com/question/5795008

Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry

6 0

2 years ago

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Cassie spends 2/3 of her money on supplies. Cassie spends her remaining money on 3 sandwiches. Each sandwich costs $5.25. How mu

Irina18 [472]

In words:
Three sandwiches, each costing $5.25, equals 1/3 of Cassie's total money

We can write the formula:

(5.25*3)=1/3x

Now solve:

15.75=1/3x
3(15.75)=x
x=$47.25
Hope this helps!!

3 0

3 years ago

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What is the value of x in this diagram?

mixas84 [53]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

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2 years ago