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ankoles [38]
4 years ago
10

Please help with this!!! My grade depends on it!!!

Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
5 0

Answer:

52 degree

Step-by-step explanation:

So using cos again again :v

AC^2 = AB^2 +BC^2 - 2ABBCcosB

AC = 31.796cm

then

BC^2=AB^2 + AC^2 -2ABACcosA

Cos A = 0.61

A=52.17degree

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3x-5y=10
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Two column proof 2n-21=n/4
natita [175]

Simplifying:

2n-21=0.25n


We move all terms containing n to the left and all other terms to the right.

+2n-0.25n=+21


We simplify left and right side of the equation.

+1.75n=+21


We divide both sides of the equation by 1.75 to get n.

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3 years ago
Y = 7x − 7z − 9 Solve for X
Novay_Z [31]
Y= 7x - 7z -9
+9             +9             Y+9+7z /7=x
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6 0
4 years ago
QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will
Len [333]
  • The contribution of the friend's company is of: $60.
  • The account's balance after 20 years will be of: $130,694.36.
  • The total deposits after 20 years are given as follows: $28,800 by the friend and $14,400 by the company.
  • The interest earned during this entire period was of: $87,494.36.

<h3>How to obtain the balance?</h3>

The balance is obtained using the future value formula, which is presented as follows:

B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}

The meaning of each parameter is explained as follows:

  • P is the total month deposit.
  • r is the interest rate.
  • n is the number of coupoundings per period, that is, compoundings per year.
  • t is the number of years.

The deposits will be of:

  • Friend: $120.
  • Company: $60, as it is half of the friend.

Then the parameter P is of:

P = 120 + 60 = 180.

The remaining parameters to obtain the balance after 20 years are given as follows:

r = 0.03, n = 12, t = 20.

Then the balance after 20 years is obtained as follows:

B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}

B = \frac{180\left(\left(1 + \frac{0.03}{12}\right)^{12 \times 20}-1\right)}{\frac{0.03}{12}}

B = $130,694.36.

The total deposits will be of:

  • Friend: 120 x 20 x 12 = $28,800.
  • Company: half of friend -> $14,400.

The interest accrued is the balance subtracted by the total deposits, hence:

130694.36 - (28800 + 14400) = $87,494.36.

A similar problem, also featuring the future value formula, is presented at brainly.com/question/24703884

#SPJ1

3 0
1 year ago
What is the distance between point A and point B? Round to nearest tenth.
Sergeu [11.5K]

Answer:

d \approx 12.6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A (-4, 2)

Point B (8, 6)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(8+4)^2+(6-2)^2}
  2. Add/Subtract:                       d = \sqrt{(12)^2+(4)^2}
  3. Exponents:                           d = \sqrt{144+16}
  4. Add:                                      d = \sqrt{160}
  5. Simplify:                                d = 4\sqrt{10}
  6. Evaluate:                              d = 12.6491
  7. Round:                                 d \approx 12.6
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3 years ago
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