MATHEMATICS HIGH SCHOOL

Solve the equation A = 2LW + 2LH + 2WH for H.a) H = A - 2LW/2L + 2W
b) H = A + 2LW/2L + 2W
c) H = A - 2LW/4LW
d) H = A/2L + 2W - 2LW

Answers

Answer 1
Answer: H = A - 2LW / 2 (L+W)

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There is a number that if you multiply it by 4 first, and then subtract 10 from the result, you get 14. What's the number.

Answers

it's 6. 6 times 4 is 24, and 24 minus 10 is 14

The leather of marshalls rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the area of the poster

Answers

Well, the perimeter is the rim of the rectangle and you can use the rim to find the area... but, First you have to find the length and the width
if the width is two times the height when you flip that you get that the height is half of the width
So first you find that half of 24 is 12... this is our width
Now, what is half of 12... 6, this is our height
simple math tells us that to find the area you multiply that height and the width
6 * 12 = 72
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What is the exact area of the circle below? Show your work.

Answers

Answer: 1256.63706144

Step-by-step explanation: π*r^2

π*20^2

π*400

= 1256.63706144

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π) Area of a circle = πr2 0.02 bacteria per square millimeter 0.42 bacteria per square millimeter 2.39 bacteria per square millimeter 52.5 bacteria per square millimeter

Answers

The population density is 0.418 bacteria per mm².

What is Area of Circle?

A circle's area is the area that it takes up in a two-dimensional plane.

The  formula for area of circle is, A = πr²,  where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.

Given:

Radius= 40 mm

So, Area of petri dish = πr²

                                    = 3.14x(40 mm)²

                                    = 3.14 x 1600 mm²

                                    = 5024 mm²

and, Population Density

= 2100 / 5024

= 0.418 bacteria per mm²

Hence, the population density is 0.418 bacteria per mm².

Learn more about area of circle here:

brainly.com/question/28642423

#SPJ6
Population Density = # bacteria/area

Area = πr^2
= 3.14•(40 mm)^2
= 3.14•1600 mm^2
= 5024 mm^2

Pop Density = 2100 / 5024
= 0.418 bacteria per mm^2

The answer is 0.42 bacteria per square mm

You want to buy a used car for $8,648.00 plus 4.7% sales tax. You want to make a 5% down payment. How much is your down payment? My answer is $452.72. Can someone tell me if it's correct?

Answers

Answer:

The down payment is $ 452.72 (approx).

Step-by-step explanation:

Given,

The original price of the car = $8,648.00

Sales tax = 4.7%,

So, the final price of the car = (100+4.7)% of the original price

= 104.7% of $ 8,648.00

=(104.7* 8648.00)/(100)

=(905445.6)/(100)

=\$ 9054.456

Now, the percentage of down payment = 5 %,

Hence, the amount of down payment = 5 % of the final price

= 5 % of $ 9054.456

=(5* 9054.456)/(100)

=(45272.28)/(100)

=\$ 452.7228\approx \$ 452.72
That's the answer I got!

8648 * .047 = 406.456

406.456 + 8648 = 9054.456

9054.456 * .05 = 452.72!

Your portfolio has provided you with returns of 8.6 percent, 14.2 percent, -3.7 percent, and 12.0 percent over the past four years, respectively. what is the geometric average return for this period?

Answers

First you have to add all four of your numbers, 8.6+14.2+ -3.7+ 12=31.1. Then you divide your answer by 4, the number of numbers you added, and you get your answer of 7.775.
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