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Rina8888 [55]
2 years ago
12

Find the area of this triangle, round to the nearest tenth. I will give brainliest

Mathematics
1 answer:
USPshnik [31]2 years ago
5 0

Answer:

108.8yd²

Step-by-step explanation:

Area of a Side Angle Side triangle : Area = 1/2 ( a × b ) × sin(c)

where a and b = the side lengths and c = the angle

Here the given side lengths are 23yds and 9.5yds and the angle given has a measure of 85° so a = 23, b = 9.5 and c = 85

Area = = 1/2 ( a × b ) × sin(c)

a = 23 , b = 9.5 and c = 85

Area = 1/2 ( 23 × 9.5 ) × sin(85)

==> multiply 23 and 9.5

Area = 1/2 ( 218.5 ) × sin(85)

==> multiply 1/2 and 218.5

Area = 109.25 × sin(85)

==> multiply sin(85) and 109.25

Area = 108.8yd²

Note: When the triangle is not a right triangle ( when there is no 90° angle ) we have to use a special formula in order to find the area. Here this is given a side an angle and a side, when given a side an angle and another side you can solve using the formula Area = 1/2 ( a × b ) × sin(c)

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Answer:

680 miles

Step-by-step explanation:

1,875=2.5x+175

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Divide both sides by 2.5

680=x

If the band travels 680 miles for $2.50 each mile, plus the flat fee of 175. The total will be 1,875.

7 0
3 years ago
Fred is playing tennis. For every 2 of his serves that land in, 4 serves land out. If he hit 28 serves in, how many serves lande
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2 for every 4 = 1 for every two, so 28 multiplied by two. Your answer is 56.

5 0
3 years ago
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How do you do these 2 questions?
zavuch27 [327]

Answer:

0 ≤ an ≤ bn

The series ∑₁°° bn converges

The series ∑₁°° an converges by comparison to ∑₁°° bn.

0 ≤ an ≤ bn

The series ∑₁°° bn diverges

The comparison test is inconclusive for our choice of bn.

Step-by-step explanation:

an = 1 / (n² + n + 3) and bn = 1 / n²

The numerators are the same, and the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p > 1, so it converges.

Since the larger function converges, the smaller function also converges.

an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)

If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p = 1, so it diverges.

The larger function diverges.  We cannot conclude whether the smaller function converges or diverges.

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3 years ago
The price of an item has been reduced by <br> 95%<br> . The original price was <br> $77<br> .
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3 0
3 years ago
A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard devia
faltersainse [42]

Answer:

We conclude that her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company states.

Step-by-step explanation:

We are given;

Population mean; μ = 30 minutes

Population standard deviation; σ = 3 minutes

Sample size; n = 10

Sample mean; x¯ = 25

Significance level = 5% = 0.05

Let's define the hypotheses;

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Let's find the test statistic;

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p < 0.00001

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8 0
3 years ago
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