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3 years ago

How would I find a? What formula would I use?

Mathematics

1 answer:

xenn [34]3 years ago

3 0

Answer:

You can use either of the following to find "a":

Pythagorean theorem
Law of Cosines

Step-by-step explanation:

It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.

I find it reasonably convenient to find the length of x using the sine of the 70° angle:

x = (15 ft)/sin(70°)

x ≈ 15.96 ft

That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.

Consider the diagram below. The relation between DE and AE can be written as ...

DE/AE = tan(70°)

AE = DE/tan(70°) = DE·tan(20°)

AE = 15·tan(20°) ≈ 5.459554

Then the length EC is ...

EC = AC - AE

EC = 6.3 - DE·tan(20°) ≈ 0.840446

Now, we can find DC using the Pythagorean theorem:

DC² = DE² + EC²

DC = √(15² +0.840446²) ≈ 15.023527

a ≈ 15.02 ft

_____

You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)

DC² = AD² + AC² - 2·AD·AC·cos(A)

a² = x² +6.3² -2·6.3x·cos(70°) ≈ 225.70635

a = √225.70635 ≈ 15.0235 . . . feet

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Richard bought 32.4 pounds of potting soil and 45.6 pounds of sand. She got the potting soil for $0.86 per pound and the sand fo

frozen [14]

Answer:

67.00

Step-by-step explanation:

Add the numbers.

You get 67.08.

You want it rounded.

So now the answer is 67.00.

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4 years ago

Can someone help asap please

Zanzabum

Part A
If 2 inches is 25 miles, then you can set up a ratio to find how many inches 60 miles is.
2 inches equaling 25 miles would be 2:25 in a ratio form of inches:miles.
If miles equals 60, then the ratio would be x:60 in inches:miles.
Since both sides must have the same thing done to them, divide 60 by 25 to see how much miles was multiplied by to get to 60, then multiply inches by that to get x.
60 / 25 = 2.4
2 • 2.4 = 4.8
So the answer to part A is 4.8 inches represent 60 miles.

Part B
You can do the same concept for Part B.
1/4 = 0.25
In a ratio of inches:miles, this would be 0.25:x
Since the original ratio is 2:25, you must figure out how many times 1/4 goes into 2.
2 = 2/1 = 4/2 = 8/4
So 1/4 goes into 2, which can be represented by 8/4, 8 times.
This means 2 was divided by 8 to get 0.25.
Now divide 25 by 8 to get x.
25 / 8 = 3.125
So the answer to part B is 3.125 miles are represented by 1/4 inch.

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4 years ago

Gem and her three friends are going on a holiday.

mel-nik [20]

Answer:

£200

Step-by-step explanation:

4 friends - 4 tickets

They need to BUY 3 tickets.

3 tickets will cost £1200

Divide the £1200 between the 4 friends which is £300.

They will then get the other 1 ticket for free and have 4 altogether!

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3 years ago

Read 2 more answers

You have one type of nut that sells for $3.00/lb and another type of nut that sells for $5.40/lb. You would like to have 7.2 lbs

brilliants [131]

Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.

Step-by-step explanation:

Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.

Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.

You would like to have 7.2 lbs of a nut mixture. It means that

x + y = 7.2

The mixture would sell for $4.60/lb. It means that the cost of the mixture would be

4.6 × 7.2 = $33.12

This means that

3x + 5.4y = 33.12- - - - - - - - - 1

Substituting x = 7.2 - y Intl equation 1, it becomes

3(7.2 - y) + 5.4y = 33.12

21.6 - 3y + 5.4y = 33.12

- 3y + 5.4y = 33.12 - 21.6

2.4y = 11.52

y = 11.52/2.4

y = 4.8

x = 7.2 - y = 7.2 - 4.8

x = 2.4

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3 years ago

. A salesgirl earns a 5% commission

Svetradugi [14.3K]

2500 is 5% of 50000, I'm pretty sure of it.

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3 years ago