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levacccp [35]
3 years ago
7

3. Diego is attending a college where tuition is $10,600 per year. He

Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0

Let's analyze how much money Diego will have:

  • He received $3,000 grant;
  • His parents will another %5,000.

In total, Diego will have $ 3,000+5,000 = 8,000. Now, we should find out how much money Diego still need. How 10,600-8,000=2,600, we conclude that Diego needs earn $2,600.00 to can pay for the first year's tuition.

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In a rhombus whose side measures 20 and the smaller angle is 38°. Find the length of the larger diagonal, to the nearest tenth.
Lemur [1.5K]

A rhombus diagonals form right angles. The diagonals also cut in half the angles

use cosine: cos38 = \frac{a}{20\\\\}

a = 20cos38

a=15.8

4 0
3 years ago
Evaluate the expression: -(8 - 12) + 6° + (-4)2.
serg [7]

Answer:

-4 + 6°

Step-by-step explanation:

- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°

8 0
3 years ago
What is s?? <br> A 44° <br> B 35.3° <br> C. 37.9°<br> D. 22°
melisa1 [442]

Answer: Choice B) 35.3 degrees

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

Work Shown:

Apply the law of sines

sin(S)/s = sin(R)/r

sin(S)/16 = sin(120)/24

sin(S) = 16*sin(120)/24

sin(S) = 0.57735026918962

S = arcsin(0.57735026918962)

S = 35.2643896827542

S = 35.3

Make sure your calculator is in degree mode.

7 0
2 years ago
This year, Mrs. Fisher has 9 students who are new to the school. The number of new students represents 7.5% of all her students.
Lelu [443]
7.5\% \text { of } x = 9 \text { students}

0.75 \times x = 9 \text { students}

0.75x = 9
5 0
2 years ago
What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
6 0
3 years ago
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