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12345 [234]
2 years ago
7

Trigonometry Sine Rule [Find the unknow side and angle of the triangle] Exercise D

Mathematics
1 answer:
nekit [7.7K]2 years ago
5 0

The angle B of a triangle ABC is 26.87°.

Given that, ∠A=92°, b=6.93 cm and a=15.31 cm.

<h3>What is the sine rule formula?</h3>

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The sine rule formula=sin A/a = sin B/b =sin C/c.

Now, sin 92°/15.31 = sin B/6.93

⇒sin B/6.93=0.0652

⇒sin B=0.452

⇒B=26.87°

Therefore, angle B of a triangle ABC is 26.87°.

To learn more about the sine rule visit:

brainly.com/question/20839703.

#SPJ1

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Answer:

Check the explanation

Step-by-step explanation:

Let \overline{x} and \overline{y} be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume \overline{x} having with mean \mu_{1} and \overline{y} having mean \mu_{2}

Also we have given the variance is constant

A)

We can test hypothesis as

H0: \mu_{1} =  \mu_{2}H1: \mu_{1} > \mu_{2}

For this problem

Test statistic is

T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}

Where

s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0
3 years ago
What is the sum?
iragen [17]

Answer:1.55?

Step-by-step explanation:

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I want a way to solve this question​
AURORKA [14]

Answer:

d

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = \frac{b^2+c^2-a^2}{2bc}

         = \frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}

         = \frac{26.01+32.49-53.29}{58.14}

         = \frac{5.21}{58.14} , then

∠ A = cos^{-1} ( \frac{5.21}{58.14} ) ≈ 84.9° ( to 1 dec. place )

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The solution to an inequality is graphed on the number line.
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Because the arrow is pointing to the left, the answer to the solution set needs to be less than the the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

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{x | x ≤ 4.5}

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Is this graph misleading?
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