MATHEMATICS HIGH SCHOOL

On a scale drawing of a fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the drawing?

Answers

Answer 1

Answer:

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer 2

Answer:

Answer:

215 in

Step-by-step explanation:

215 in

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A number cube is rolled. What is the probability of rolling a 2,3, or 5?

Answers

Well if the number cube goes up to 6 like most number cubes, then the probability would be 3/6 because there are 3 numbers that you want to roll (2, 3, and 5) out of 6 total numbers (1-6). Then 3/6 can be further simplified to 1/2. So the answer should be 1/2.

How do you graph y=2

Answers

Answer: A line straight horizontal on the y value of 2.

Step-by-step explanation:

-------------------------------2-------------------------------------------

Answer:

Shown in the attached image below

Step-by-step explanation:

The graph of y=2 means that any x-value you put in, all of the values are always going to equal 2. That’s why it’s a horizontal line at 2.

Hope this helps! :)

What is the area of a square whose perimeter is 12?

Answers

We know that a square has an equal height and width. So if all 4 sides, which are equal in length, add up to 12, then we can find the length of one side by dividing 12 by 4:
12/4= 3

If the length of one side is 3, we can multiply the height (3) by the width (3) to find the area.
3*3= 9

Answer: the area of the square is 9.

P=4L
12=4L
3=L

A=L^2
A=3^2
A=9

1. Given two parallel lines cut by a transversal, which sets of angles created are congruent?A. alternate interior angles
B. adjacent angles
C. interior angles on the same side of the transversal
D. supplementary angles
2. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?
A. complementary angles
B. alternate interior angles
C. corresponding angles
D. vertical angles
3. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 3 and 7?
A. complementary angles
B. alternate interior angles
C. corresponding angles
D. vertical angles
4. Which of the following is a characteristic of corresponding angles formed by two parallel lines and a transversal? (1 point)
A. Their measures are equal.
B. They are complementary.
C. Their measures are different.
D. They are supplementary.
5. Which of the following is a characteristic of alternate interior angles formed by two parallel lines and a transversal?
A. Their measures are different.
B. Their are complementary.
C. They are always supplementary.
D. Their measures are equal.

Answers

Answer:

Step-by-step explanation:

D supplementary angles

Find three consecutive even numbers whose sum is 96?

Answers

so consectuve even numbers

we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number

x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30

the first number is 30
x+2=32=second number
x+4=34=third number

the numbers are 30,32,34

Let me show you how I like to do problems like this:

-- If I just needed three numbers that add up to 96, the easiest way
to do it would be to find 1/3 of 96 . That's 32, so the three numbers
could be 32, 32, and 32.

-- If you want three consecutive even numbers, just take 2 away from
one of those numbers, and add it on to a different one.

Now you have 30, 32, and 34, and you haven't changed their sum.

How do you simplify 4√6 times 5√2