Paula used a mirror to find the height of a telephone pole. She found her eye height to be 2 meters and 60 centimeters. Her distance to the mirror was 1 meter 20 centimeters. The mirror was 15 meters from the telephone pole. Find the height of the telephone pole.

Answers

Answer 1

Answer: 14 meters and 60 centimeters, probably wrong, but don't judge me. see if you got the same answer.

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12 gallons of water fill a tank to 3/4 capacity.If the tank is then filled to capacity, how many half-gallon bottles con be filled with the water in the tank?

Answers

We need to find out how many gallons will fill the whole tank

we first write 3/4 into its decimal fraction. 3/4 = 0.75.

Now we form an equation

0.75 = 12

1 = x (where x is he number of gallons needed to fill whole tank)

Simplify the equation:

0.75 × x = 12 × 1

0.75x = 12

x = 12 / 0.75

x = 16

It will take 16 gallons to fill whole tank to capacity.

Half gallon bottles that can be filled from the tank are:16 x 2 = 32

So 32 half gallon bottles can be filled from the full tank.

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

Answers

A transformation of a figure in which all of the dimensions of the figure are multiplied by the same scale factor is called a dilation.

Effect of Dilation on Perimeter

Whenever a figure is dilated by a scale factor, the perimeter of the figure changes according to the same scale factor.

Effect of Dilation on Area

When a figure is dilated by a scale factor of $(a)/(b)$ , the area of the figure is dilated by a scale factor of $(a^(2))/(b^(2))$

Example-

Lets imagine a rectangle with length 10 cm and width 8 cm

So area becomes = 10*8 = 80 square cm

Lets suppose the rectangle is reduced by a scale factor of $(1)/(2)$ to produce a new rectangle.

So we will find the square of scale factor = $((1)/(2))^(2)=(1)/(4)$

Now to find the area of the new rectangle(dilated one) we will multiply the area of the original rectangle by 1/4

= $80*(1)/(4)=20$

Hence, area becomes 20 square cm.

Is a 78 degree angle a right,straight,obtuse or acute angle

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Acute. 90 degrees is a right angle, 180 degrees is a straight angle, obtuse angles are greater than 90 degrees, while acute are less than 90 degrees.

Acute because it is less than 90o which is a right angle and obtuse is larger than 90o so there for it is acute angle which is less than 90o

The math worksheet.Thankyou.

Answers

Ok... I'm not going to give you answers but I'll help you.
Examples:

Example 1:
2-4(3x+5) --- distribute the -4 to the 3x+5 to get...
2-12x-45 ---- do 2-45
-43-12x
and that's your answer since you can't combine the -43 with the -12x cuz, the -43 does have a variable.

Example 2:
5y+4-2y ---- so simplify first. 5y-2y. to get...
3y+4
and that the answer

cuz you can't combine a number with a variable(letter. y, x, etc.) with one that doesn't.

I hope this helps. This is easy. Trust me. if you still don't get it. Just comment. Hope this helps! :)

I need help with thisWrite the following number in decimal notation.
Nine and three hundred twenty-one thousandths

Answers

the correct answer would be 9.321

Answer:

The answer is 9.0321.

What is the lowest multiple of 7 that can go into both 6 and 5?

Answers

No multiple of 7 can go into either 6 or 5 .

The smallest multiple of 7 that's also a multiple of 5 and 6 is 210 .

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92% of what number is 115 ?

Four out of 10 people vote them in a town with 200,000 people how many vote

a high school has 1,500 students in a random sample of 50 students 32 own one or more pets. predict the number of students at the high school who own one or more pets.

21,000 rounded to the nearest 10,000