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Alenkasestr [34]
3 years ago
8

Marta Perez sells coffee beans to local coffee shops. She earns a 10% straight commission on all sales. In November, her sales t

otaled $38,500. What was her commission?
Mathematics
1 answer:
ruslelena [56]3 years ago
7 0
The answer is $3,850 and have a very nice day
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A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce
lubasha [3.4K]
<h2>Answer:</h2>

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

<h2>Step-by-step explanation:</h2>

The origin of the coordinate system is the center of the circle. So we have an angle that measures 5\pi/12=75^{\circ}. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

x=20cos(5\pi/12)=5\sqrt{6}-5\sqrt{2} \\ \\ Arranging:\\ \\x=5(-\sqrt{2}+\sqrt{6}) \\ \\y=20sin(5\pi/12)=5\sqrt(6)+5\sqrt{2} \\ \\ Arranging:\\ \\y=5(\sqrt{2}+\sqrt{6})

Finally, the exact value of the position of the rider after the carousel rotates 5\pi/12 radians is:

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

3 0
3 years ago
Solve the equation. Then check your solution. 5 /9 d = 9 /10 a. 31 / 90 c. 1/2 b. 1 31 /90 d. 50 /81
miskamm [114]

Answer:

d in (-oo:+oo)

(5/9)*d = 9/10 // - 9/10

(5/9)*d-(9/10) = 0

(5/9)*d-9/10 = 0

5/9*d-9/10 = 0 // + 9/10

5/9*d = 9/10 // : 5/9

d = 9/10/5/9

d = 81/50

d = 81/50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible
3241004551 [841]

Answer:

Option 2 - 3.2 inches.                      

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible  lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

H^2=P^2+B^2

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

8^2=P^2+5^2

64=P^2+25

P^2=64-25

P^2=39

P=\sqrt{39}

P=6.24

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

H^2=8^2+5^2

H^2=64+25

H^2=89

H=\sqrt{89}

H=9.43

Therefore, The possible length of the third side of the triangle is

L=H-P

L=9.43-6.24

L=3.19

Therefore, The difference between the two possible  lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0
3 years ago
Read 2 more answers
at a summer camp there are 50 girls out of 80. what is this ratio wrottwn as a fraction in simplest form
omeli [17]
50/80, then divide it by ten so the answer is 5/8. Once the number can divide both numbers your good.
4 0
3 years ago
Read 2 more answers
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the l
zavuch27 [327]

Solution :

Given data :

The mean length of the steel rod = 29 centimeter (cm)

The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)

a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).

Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)

                                    = P(z < -1.42)

                                   = 0.0778

b). Any rods which is shorter than 24.84 cm or longer than 25.16 cm that re discarded.

Therefore,

P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)

                                         = 1.052

4 0
3 years ago
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