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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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In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a
fiasKO [112]

Answer:

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

Step-by-step explanation:

H0 : μ = 37

H1 : μ ≠ 37

μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1

Decision region :

If P value < α ;

Reject H0

Using the Z test statistic :

Zstatistic = (x - μ) ÷ (σ / √n)

Zstatistic = (51 - 37) ÷ (7 / 1)

Zstatistic = 14 ÷ 7

Zstatistic = 2

Obtaining p value from Zstatistic using the p value calculator ;

Zscore = 2 ; 2-tailed test, significance level = 0.05

P value = 0.0455

Zcritical at α = 0.05 for a 2 - tailed test = 1.96

0.0455 < 0.05

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

5 0
3 years ago
Find 5.7 - 7.1 . pls show work
MrRissso [65]

Answer:

-2.6

Step-by-step explanation:

Basically you just subtract 7.1 from 5.7 which will give you -2.6 I don't really know how to explain it much more

3 0
3 years ago
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99 POINTS POSSIBLE!!!! I have a lot of math problems.....Please show your work also:) I will give Brainiest too!
kolbaska11 [484]
1) average weight=the sum of weights divided by number of buckets
average weight=(2.79+2.45+2.62)÷3
=2.62

2) recipe calls for 4 4/5=4+(4÷5)
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1 1/3=1+(1÷3)=4/3
So 4.8 times 4/3=6.4

3) Jordan took 1+1/2=1.5 hours
Kasey 3/4 an hour longer than Jordan
So Kasey took 1.5+(3÷4)=2.25 hours

4) 32.5÷(−0.08)=−406.25

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X=81.7÷4.3
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Hope it helps!
3 0
3 years ago
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A grasshopper covered a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on each hop?
andre [41]

Answer:

a)5/9 yards=0.556yards

b)10/9 yards=1.11 yards

Step-by-step explanation:

for the part a

To solve this exercise we must divide the total distance traveled by the grasshopper (5 yards) by the number of jumps that were made (9).

d=\frac{5}{9}

if you use the calculator you will realize that the value is 0.55yards

for the part b

knowing the distance traveled in a jump, we multiply this value by two to find out how much is the distance traveled in 2 jumps

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3 0
3 years ago
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