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OLga [1]
3 years ago
15

Help me with this please !!!!!!!!!!!!!

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

q = 10\sqrt{3} yards

Step-by-step explanation:

Tan(60) = \frac{q}{10}

Tan(60) * 10 = q

17.321 = q

Radical form = 10\sqrt{3}

Hope this helps!

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Whats the answer?<br><br> 12m +5 =17
Serga [27]

Answer:

m=1

Step-by-step explanation:

12m+5=17

       -5  -5

12m=12

m=1

3 0
3 years ago
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Josh earns a weekly salary of $300 plus a 6% commission on sales. Last week, his sales totaled $3500. What was his total pay?
IRISSAK [1]
510$ because 6% of 3500 is 210 and 300+210=510
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What are the solution of the equation x^2- 4x -32 = 0 ?show your work and justify each step.
soldier1979 [14.2K]
X^2-4x-32=0

(x+a)(x+b)

x^2-(a+b)x+ab

a+b=4
ab=-32

a=-b+4
(-b+4)b=-32

-b^2+4b=-32
b^2-4b-32=0
b=8,-4

If b=8, a=-4
If b=-4, a= 8

Plug in a and b to (x+a)(x+b)
x= -4, 8
6 0
3 years ago
What is the solution to the system of equations below? HELP!!!! y = negative one-fourth x + 2 and 3 y = negative three-fourths x
Oxana [17]

Answer:

No solution

Step-by-step explanation:

Step 1: Write out equations

y = -1/4x + 2

3y = -3/4x - 6

Step 2: Substitution

3(-1/4x + 2) = -3/4x - 6

Step 3: Distribute

-3/4x + 6 = -3/4x - 6

From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.

Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.

5 0
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Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!
Oliga [24]

Answer:

1. \approx 10 \ cm^2

2. 304.5 \ cm^2

3. 1:3

4. 3:4

5. 10,000 pounds

6. 36 in

Step-by-step explanation:

1. What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?

The area of the triangle can be calculated using formula

A=\dfrac{1}{2}\times \text{Base}\times \text{Height}

Given:

Base =5\dfrac{1}{2}=\dfrac{11}{2}\ cm

Height =3\dfrac{1}{2}=\dfrac{7}{2}\ cm

Hence,

A=\dfrac{1}{2}\cdot \dfrac{11}{2}\cdot \dfrac{7}{2}\\ \\=\dfrac{77}{8}\\ \\=9.625 \ cm^2\approx 10\ cm^2

2. What is the area of a parallelogram with a base of 14.5 m and a height of 21 m?

The area of the parallelogram can be calculated using formula

A=\times \text{Base}\times \text{Height}

Given:

Base =14.5\ cm

Height =21\ cm

Hence,

A=14.5\cdot 21\\ \\=304.5 \ cm^2

3. The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio in simplest terms of grilled chicken salads sold to the total number of lunches sold?

Cafeteria sold:

  • 200 grilled cheese sandwiches;
  • 100 tacos;
  • 150 grilled chicken salads;
  • 200 + 100 + 150 = 450 lunches in total.

The ratio of grilled chicken salads sold to the total number of lunches sold is

150:450

In simpliest form

150:450=(150\cdot 1): (150\cdot 3)=1:3

4. What is the ratio of odd to even digits in the following number: 7,208,631?

There are

  • even digits 2, 0, 8, 6 - 4 digits;
  • odd digits 7, 3, 1 - 3 digits.

The ratio of odd to even digits is

\text{Number of odd digits}:\text{Number of even digits}=3:4

5. 1 ton = 2,000 pounds

5 tons =5 \ tons \cdot 2,000\ \dfrac{pounds}{ton}=10,000\ pounds

6. 1 feet = 12 inches

3\ ft=3\ ft\cdot 12\ \dfrac{in}{ft}=36\ in

3 0
3 years ago
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