MATHEMATICS HIGH SCHOOL

Which of the following represent dividing 72 by 6?a. 72 ÷ 6
b. 6/72
c. 6 ÷ 72
d. 72/6

Answers

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What is the slope of a line perpendicular to MN for M(-3, 4) and N(5, -8)?

Answers

Answer:

slope of the line perpendicular to MN = 2/3

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

the given co-ordinates are:

x1, y1 = -3, 4

x2, y2 = 5, -8

slope = -8 - 4 / 5 + 3

          = -12/8

          = -3/2

slope of the line perpendicular to MN = -1 / slope

                                                               = -1 / -3/2

                                                               = -1 * -2/3 = 2/3

Answer:

m = 2/3

Step-by-step explanation:

Slope = (y-y)/(x-x)

(-8-4)/5- -3) = -12/8

-12/8 = -3/2

Slope od the perpendicular line= 2/3

Question 2: SQUARE ROOTS

Answers

Answer:

A) 15 and 16

Step-by-step explanation:

The square root of 250 is 15.8, so it falls between:

15 and 16

In blueprints an architects firm drew everything 1/24 of the actual size the windows will actually measure 4feet by 6 feet and the doors measure 12 feet by 8 feet what are the dimensions of the windows and doors

Answers

To apply a scale to a measure, you have to follow this rule:

Real measure x Scale = Scaled measure

So the drawings will have:

4 x 1/24 = 0'167 feet
6 x 1/24 = 0'25 feet
Windows: 0'167 by 0'25 feet

12 x 1/24 = 0'50 feet
8 x 1/24 = 0'33 feet
Doors: 0'33 by 0'50 feet

Window size in the image

length = 1/6 feet

width = 1/4 feet

Door size in the picture

length = 1/2 feet

width = 1/3 feet

Further explanation

Scale images are images that represent the real situation. The picture made is given a certain comparison so that it describes the real situation

This particular comparison is called scale

Examples of this scale drawing include maps and floor plans

On a map usually a scale is included

So the scale is a comparison between the distance on the map with the actual distance

an architects uses a scale of 1:24 in the picture

actual size of the windows = 4 x 6 feet

actual size of the doors: 12 x 8 feet

then:

  • 1. The window size in the image is:

length = scale x actual size

length = 1/24 x 4

length = 1/6

width = 1/24 x 6

width = 1/4

  • 2. The size of the door in the picture is:

length = scale x actual size

length = 1/24 x 12

length = 1/2

width = 1/24 x 8

width = 1/3

Learn more

a scale on a map

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brainly.com/question/2263720

keywords: scale, maps, blueprint, doors, windows

How much sales tax will Nicole pay on a $36 shirt if the tax rate is 7%?

Answers

Tax is 7% of 36.

(7/100) * 36

0.07 * 36

= 2.52

Tax = $2.52

Match the side and angle measures of each triangle to its correct classification.

Answers

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

What is an obtuse scalene triangle?

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

What is a right scalene triangle?

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

What is an obtuse isosceles triangle?

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

What is acute equilateral triangle?

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

Learn more about types of triangles here

brainly.com/question/22737630

#SPJ2

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

4^(x-1) + 4^x + 4^(x+1)= 21 ​

Answers

Answer: x = 1

Step-by-step explanation:

isolate the variable by dividing both sides by factors that don't contain the variable.
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