The area of the trapezoid is 108 in2.

What is the height of the trapezoid?
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Answers

Answer 1
Answer:

The area of the trapezoid is given by the formula A= (a+b)/ 2 * h

in this question a= 8, b= 10, A= 108 inches², and h is what we have to find, substitute what we have got into the formula and you will have:

108= (8+10) /2 *h

108= 9 *h

h= 108/9

h= 12 inches



Answer 2
Answer: area for a trapezoid is A= a+b/2 times h  (a and b are the bases which are 8 and 10 

so 108=8+10/2 x h 8+10 divided by 2 equals 9 so now we have 108=9 x h

now we must divide both sides by 9 to solve for the height 108/9 equals 12 so the height of the trapezoid is 12

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How do I solve #38?

Answers

(3- √(2) )/(2 √(3) +5) * (2 √(3) -5)/(2 √(3) -5) = (6 √(3) -15-2 √(6) + √(10) )/(12-5) =(6 √(3) -15-2 √(6) + √(10) )/(7)

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?

Answers

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

Paula's time swimming in the Ironman Triathlon was 1 hour 25 minutes. Her time biking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. How long did it take her to complete all three parts of the race? Use the model to help you organize your thinking.

Answers

Answer: 12 hrs 40 mins

Step-by-step explanation:

The swimming time was 1 hour 25 minutes.

Her biking time was 5 hours longer than the swimming time so it was:

= 1 hr 25 mins + 5 hours

= 6 hours 25 mins

Her running time was 4 hrs 50 mins.

Add them all up to find the amount of time ran. First add up the minutes:

= 25 + 25 +50

= 1 hr 40 minutes

Hours = 1 + 6 + 4

= 11 hours

Total:

= 11 + 1 hr 40

= 12 hrs 40 mins

8x-9y=11 Solve for y.

Answers

8x-9y=11
-9y=-8x+11
9y=8x-11
y=8/9x-11/9
sorry, thats as simplified as it can get with 2 variables in the equation

Answer:

y = 8/9x + -11/9

Step By Step:

Let's solve for y.  8x−9y=11

Step 1:

Add -8x to both sides.  

8x−9y+−8x=11+−8x

−9y=−8x+11

Step 2:

Divide both sides by -9.

-9y/-9 = -8+11/-9

y = 8/9x + -11/9

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal.
She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?
(2 marks)

Answers

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

A textile company bought a piece of weaving equipment for $60,000. It is expected to depreciate at an average rate of 10% per year. a. Write an equation for the value of the piece of equipment Z after

Answers

Answer:

z = 60000(0.9)^t

Step-by-step explanation:

What's good?The equation for the price of the item over time can be written as:

z = 60000(0.9)^t

Here's what each part of the equation means:

- "z" represents the price of the item.

- The initial cost of the item is $60,000, so we start with 60000.

- The item falls at a rate of 10% per year, so we multiply the initial cost by 0.9 each year.

- "t" represents the number of years.

For example, if you want to find the price after 3 years, you would substitute t = 3 into the equation and solve for z:

z = 60000(0.9)^3

z = 60000(0.729)

z ≈ 43,740

So after 3 years, the price of the item would be approximately $43,740. Remember 3 years is just an example. Don't forget to make me the brainliest!!!

Final answer:

The equation for the value of the weaving equipment after 'n' years can be written as Z = 60000(1 - 0.10)ⁿ. For example, if you want to find the value of the equipment after 5 years, substitute n = 5 into the equation and solve for Z, which would be approximately $36,486.

Explanation:

The equation for the value of the weaving equipment after n years can be written as Z = 60000(1 - 0.10)n, where Z represents the value of the equipment and n represents the number of years.

For example, if you want to find the value of the equipment after 5 years, you would substituten = 5 into the equation: Z = 60000(1 - 0.10)5 and solve for Z.

After substituting and calculating, you would find that the value of the equipment after 5 years is approximately $36,486.

Learn more about Depreciation here:

brainly.com/question/17827672

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