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katrin [286]
2 years ago
10

500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:

Mathematics
2 answers:
statuscvo [17]2 years ago
7 0

Answer:

40 degrees is (40/360)=0.111=11.1%

The color closest to 11.1% is Purple at 12%.

The total who prefer a rainbow color is:

13+4+5+15+16+12=65

Of this 65, 13 prefer red, so 13/65=0.20,

of the people who preferred a rainbow color,

20% preferred red.

Step-by-step explanation:

melisa1 [442]2 years ago
4 0
20% preferred red in the pie chart shown above
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A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
Can I please get help? Find M1 and M2
marishachu [46]

Answer:

m∠1 = 110° and m∠2 = 70°

Step-by-step explanation:

m∠1 = 110° since vertical angles

To find m∠2, m∠1 and m∠2 must add to 180°

m∠1 + m∠2 = 180°

110° + m∠2 = 180°

m∠2 = 70°

8 0
2 years ago
What is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?​
pentagon [3]

Answer: Volume = 48

Step-by-step explanation:

V = L * W * H

V = 4 * 6 * 2

V = 48

5 0
3 years ago
Find the requested information based on the given facts. Base: $54,300: Total Sales: $950,000; Commission: 2.75% Determine the t
Dafna11 [192]

Answer:

$871068.25

Step-by-step explanation:

Given the base of starting the business is $54300 and the total sale after the business is $950000.

Therefore, the profit of the business is $(950000-54300) = $895700.

Now, the commission has to be deducted from the profit at the rate of 2.75% of the profit.

Hence, total profit of the business is given by  

895700 [1 - \frac{2.75}{100} ] = $871068.25 (Answer)

6 0
3 years ago
40 pts PLEASE HELP ILL GIVE BRAINLIESTS <br> A. -3 <br> B. -1/3<br> C. 1/3<br> D. 3
Licemer1 [7]
<h3>A is the answer EEEE</h3>

5 0
3 years ago
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