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baherus [9]
3 years ago
10

Two angles are complementary. The larger angle is 30 degrees more than 4 times the smaller angle. Find the measure of each angle

.
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

The angles would be 12 degrees and 78 degrees

Step-by-step explanation:

In order to find this we must first note that complementary angles have a sum of 90. Now we can set the smaller angle as x and the larger angle as 4x + 30. Now find the sum and set equal to 90.

x + 4x + 30 = 90

5x + 30 = 90

5x = 60

x = 12

This makes the first angle 12 and we can find the larger angle.

4x + 30

4(12) + 3-

48 + 30

78

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Answer:

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Aleks [24]

Answer:

P = \frac{5}{282} = 0.0177

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

P(golden) =   \frac{N(golden)}{N(total)}

P(golden) = \frac{4}{48} = \frac{1}{12}

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

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P(granny) = \frac{10}{47}

The final probability we want is the product of those two probabilities:

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3 years ago
The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality
Goryan [66]

Answer: (a) P(no A) = 0.935

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Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

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P(A and B and C) = (\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})

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P(D or F) = \frac{269}{1052} +\frac{130}{1052}

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Step-by-step explanation:

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