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stellarik [79]
3 years ago
6

I need help with this

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0

Answer:

a = 6.92820323 units

c = 2.828427125 units

Step-by-step explanation:

<u>Triangle one solution:</u>

<u />

\frac{a}{8} = sin 60

a = 8 × sin 60 = 6.92820323 units

<u>Triangle two solution:</u>

<u />

\frac{c}{4} = cos 45

c = 4 × cos 45 = 2.828427125 units

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A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particu
JulsSmile [24]

Answer:

<em>Answer: A'Reana's weekly allowance is $100</em>

Step-by-step explanation:

<u>Backward Solution</u>

To solve some problems, we can work backward, using the inverse operations, to arrive at the solution.

The problem explains a sequence of expenses A'Reana does with her weekly allowance. In the end, she had $37.50.

That final balance came when she last spent $7.50 on a pizza. Thus, before that, she had $37.50+$7.50=$45

This balance is half of her previously remaining money. The other half was spent on a new shirt. Thus she had 2*$45=$90.

Those $90 were left after she gave $10 to her friend Taylor, thus, the initial money was $90+$10 = $100

Answer: A'Reana's weekly allowance is $100

3 0
3 years ago
2/3[8(5-2)^2 +3*2]<br> How do I distribute the 2/3? And then solve the rest!
jolli1 [7]

To distribute the 2/3, this is what you do.

2/3[8(5-2)^2 + 3*2] = (2/3)(8)(5-2)^2 + (2/3)(3*2) =

Now you can continue. You need to follow the correct order of operations.

= (2/3)(8)(3^2) + (2/3)(6)

= (2/3)(8)(9) + 4

= (2/3)(9)(8) + 4

= (6)(8) + 4

= 48 + 4

= 52

This is how I would have done it.

2/3[8(5-2)^2 + 3*2] =

= 2/3[8(3)^2 + 6]

= 2/3[8 * 9 + 6]

= 2/3[72 + 6]

= 2/3[78]

= 2 * 1/3(78)

= 2 * 26

= 52

8 0
4 years ago
5y+4x=10.51 8y+3x=10.39
Phoenix [80]

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

7 0
3 years ago
The volume of a sphere is a function of its radius. V equals 4 over 3 πr cubed . Evaluate the function for the volume of a volle
Nataly_w [17]

Answer:

The answer to your questin is:  V = 5276.7 cm³

Step-by-step explanation:

Data

radius = 10.8 cm

Volume = ?

Formula

                V = \frac{4}{3} \pi  r^{3}

                V = \frac{4}{3} \pi  (10.8)^{3}

                      V = 5276.7 cm³

4 0
3 years ago
Evaluate the factorial expression.<br> left parenthesis 6 minus 2 right parenthesis exclamation mark
kondaur [170]
If I understood your post correctly, then this will be the equation we evaluate: (6-2)!

We can simplify this to: 4!

4! = 4 x 3 x 2 x 1 = 24
4 0
3 years ago
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