MATHEMATICS HIGH SCHOOL

The surface area of any shape is expressed in?a. feet and inches.
b. square units.
c. cubic units.
d. length and width.

Answers

Answer 1
Answer: the surface of any shape often is a result of multiple two dimension so it expressed in square units
the answer is B
Answer 2
Answer: b) square units is the answer

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What is the fractional equivalent of 0.2666
12/45
26/90
28/90

Answers

x = 0.2666...    |multiply both sides by 10

10x = 2.666...   |multiply both sides by 10

100x = 26.666...

100x - 10x = 26.666... - 2.666...

90x = 24     |divide both sides by 90

x = 24/90

x = 12/45

Answer: 0.2666... = 12/45
Let x = 0.2666

10x = 2.666  

100x = 26.666

100x - 10x = 26.666= - 2.666

90x = 24

x = 24/90

x = 12/45

Fraction = 12/45 

1) Complete the following items dealing with sets.If set A = {3, 4, 7, 9} and set B = {8, 9, 10, 11}, list the elements in numerical order for

A B = {_,_,_,_,_,_,_}

A B = {_}


2)If set A = {3, 4, 7, 9}, set B = {8, 9, 10, 11}, and set C = {4, 9, 11, 13, 15},

list the elements in numerical for A (B U C) = {_,_}

3) If set A = {3, 4, 7, 9} and if set D = {9, 4, 3, 7}, A = D.

True or False

Answers

From the set {21, 37, 45}, use substitution to determine which value of x makes the inequality true.x - 8 > 29 
45 
none of these 
37 
21From the set {21, 37, 45}, use substitution to determine which value of x makes the inequality true.x - 8 > 29 
45 
none of these 
37 
21

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. 7.1 square feet
9.4 square feet
18.8 square feet
28.3 square feet

Answers

Answer:

7.1 square feet

Step-by-step explanation:

Since the diameter of a circle is twice the radius, the radius of each circle is 3/2=1.5. The area of a circle is \pi r^2=\pi \cdot 1.5^2=2.25\pi \approx 7.1. Hope this helps!

Answer:

18.8

Step-by-step explanation:

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

V = (1)/(3)* \text{Area of base}* Height

Here, base is a square, so area of base = (Side)^2

V = (1)/(3)* 20^2* 150 = 400* 50 ft^3

Number of stones of 40 cubic feet each, required = (400* 50)/(40) = 500

Solve the problem by using the counting principle. (: Drapery is sold in 4 different fabrics. Each fabric comes in 13 different patterns. Each pattern is offered in 9 different colors. How many fabric-pattern-color combinations are there?

Answers

so 4 fabrices13 pattersns per fabric9 colors per fabricfirst consider 4 fabrrics and 13 paterns13 patterns per fabric and 4 fabric so 4 times 13=52 totalthen 952 patterns9 for each52 times 9=468468 patterns total

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Answers

Answer:

g(x) is the reflection of f(x) through the y-axis.

Step-by-step explanation:

Given : Functions f(x)=0.7(6)^x and g(x)=0.7(6)^(-x)

To find : How are the two functions related to each other?

Solution :

When we examine the two function,

f(x)=0.7(6)^x and g(x)=0.7(6)^(-x)

We see that x-coordinate in g(x) is negative which signifies that it will be reflected through y-axis.

Therefore, the functions are related to each other as g(x) is the reflection of f(x) through the y-axis.
0.7(6)^-x  = 0.7 * 1 /6^x)
the graphs would be a reflection of each other in the y axis
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Solve by completing the square: x^2+3x-9=0
What is the area of this figure?