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2 years ago

7

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

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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Sunny_sXe [5.5K]

-10 + a = 6a - 7a

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a - 10 = 6a - 7a

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a - 10 = -a

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3 years ago

Question 6 (0.5 points)

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

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3 years ago

The last one need the right answer please

Llana [10]

Answer:

Part 1) The unit rate is $16\frac{dollars}{ounce}$

Part 2) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 3) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 4) The unit rate is $4\frac{dollars}{ounce}$

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{d2-d1}{n2-n1}$

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

<u><em>Verify each case</em></u>

1) we have

$d=16n$

This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

<em>First table</em>

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{4-1}{16-4}$

$m=\frac{3}{12}\frac{dollars}{ounce}$

simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

3) we have

$n=4d$

This is a proportional relationship between the variables d and n

isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

<em>Second table</em>

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

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therefore

The unit rate is $4\frac{dollars}{ounce}$

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4 years ago

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IrinaVladis [17]

Answer:

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Step-by-step explanation:

40 × 2x + 20= 180

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Answer:

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4 years ago

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