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ycow [4]
3 years ago
13

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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I need this done thanks
aleksandr82 [10.1K]

Answer: Choice B

(-1,0), (-1,-2), (-3, -1), and (-3, -2)

============================================================

Explanation:

Let's focus on the point (2,0)

If we shift it 3 units to the left, then we subtract 3 from the x coordinate to get 2-3 = -1 as its new x coordinate. The y coordinate stays the same.

That means we move from (2,0) to (-1,0)

Based on this alone, choice B must be the answer as it's the only answer choice that mentions (-1,0).

If you shifted the other given points, you should find that they land on other coordinates mentioned in choice B.

8 0
2 years ago
What is 0.95 to the 9th power?
Dahasolnce [82]

Answer:

0.6302494097

Step-by-step explanation:

Multiply 0.95, 9 times. Not 0.95×9 though.

4 0
3 years ago
I worked it out as 11x^2 over 12y but I'm doubtful. <br><br> Thank you for helping!
elena-14-01-66 [18.8K]

similar answer 11x^2/12y-

5 0
3 years ago
Read 2 more answers
Mike has $6000 to invest. He invested part of his total into an account earning 6% interest and the rest in an account earning 1
lesya692 [45]

Answer:$4000 was invested into the account earning 6% interest.

$2000 was invested into the account earning 11% interest.

Step-by-step explanation:

Let x represent the amount invested into the account earning 6% interest.

Let y represent the amount invested into the account earning 11% interest.

Mike has $6000 to invest. He invested part of his total into an account earning 6% interest and the rest in an account earning 11% interest. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 6% interest, the interest would be

I = (x × 6 × 1)/100 = 0.06x

Considering the account earning 11% interest, the interest would be

I = (x × 11 × 1)/100 = 0.11y

If at the end of the year, he earned $460.00 in interest, it means that

0.06x + 0.11y = 460 - - - - - - - - - - -1

Substituting x = 6000 - y into equation 1, it becomes

0.06(6000 - y) + 0.11y = 460

360 - 0.06y + 0.11y = 460

- 0.06y + 0.11y = 460 - 360

0.05y = 100

y = 100/0.05 = $2000

x = 6000 - y = 6000 - 2000

x = $4000

3 0
3 years ago
There are 120 children there are twice as many boys than girls how many girls are there?
PolarNik [594]
Boys are b
Girls are g

b + g = 120
2g = b

Substitute the second equation into the first

2g + g = 120
3g = 120
g = 40

Plug in g = 40 and solve for b

b + g = 40
b + 40 = 120
b = 80

There are 40 girls and 80 boys.
5 0
3 years ago
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