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:
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
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
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
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)
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
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!!!
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.
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:
#SPJ11