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12345 [234]
1 year ago
7

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

Mathematics
1 answer:
nekit [7.7K]1 year 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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30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

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5 0
9 months ago
Help me please due in 20 minutes
Kamila [148]

Answer:

y=4

Step-by-step explanation:

4 0
2 years ago
What is the factored form of 8x^2+18x+9?
forsale [732]
Factored form is (4x+3)(2x+3)
5 0
3 years ago
Write a linear equation in point-slope form for the line that goes through (1, -3) and (3,9).
dimaraw [331]
The slope of the line is 6, meaning that you can eliminate A,C. Since the point slope formula is y-y1=m(x-x1) you just need to see if the points are correct.

B. (3,9)
D. (1,-3)

While these do contain one point, substitute the coordinates to see which contain both.

B.

(1,-3): -3-9=6(1-3): -12=-12
(3,9): 9-9=6(9-3): 0= 6(6)

D.

(1,-3): -3+3=6(1-1): 0=6(0); 0=0
(3,9): 9+3=6(3-1): 12=6(2): 12=12

D is correct since the coordinate are on the line.

3 0
2 years ago
Read 2 more answers
Solve the inequality for x. <br> –3x + 6 &lt; 15
Eva8 [605]

Answer:

x > -3

Step-by-step explanation:

–3x + 6 < 15

Subtract 6 from each side

–3x + 6-6 < 15-6

-3x < 9

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 9/-3

x > -3

4 0
3 years ago
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