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IgorLugansk [536]
4 years ago
14

Find the value of each trigonometric ratio

Mathematics
1 answer:
Mila [183]4 years ago
8 0

27)\\sine=\dfrac{opposite}{hypotenuse}\\\\\text{We have:}\\opposite=40\\hypotenuse=50\\\\\sin C=\dfrac{40}{50}=\dfrac{4}{5}\\\\29)\\\\tangent=\dfrac{opposite}{adjacent}\\\text{We have:}\\opposite=18\\adjacent=24\\\\\tan C=\dfrac{18}{24}=\dfrac{18:6}{24:6}=\dfrac{3}{4}

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Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The fo
natulia [17]

Step-by-step explanation:

65 - 2 × 7 + 9 ÷ 3

65 - 14 + 3

51 + 3 = 54

Option A is the correct answer

6 0
3 years ago
A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w
-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A X_a=28

Type a size B X_b=10  

Generally the probability of choosing cushion A P(a) is mathematically given by

P(a)=\frac{28}{38}

P(a)=0.73

Generally the equation for A to be twice as popular as B is mathematically given by

P(b)+2P(b)=3P

Therefore Hypothesis

Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}

Generally the equation normal approx of p value is mathematically given by

z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }

z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }

z=0.75

Therefore from distribution table

Pvalue=1-\theta (0.75)

Pvalue=0.227

Therefore there is no sufficient evidence to disagree with  the Null hypothesis H_0

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0
3 years ago
Simplify (5+2i)(1-3i)
larisa86 [58]

Answer:

5-15i+2i-6(i^2)

-6(i^2)-13i+5

4 0
3 years ago
Determine if the question posed is a statistical question (yes) or not (no). What is 2 plus 2?
dimulka [17.4K]

Answer:yes?

Step-by-step explanation:

it has #s in it lol

5 0
3 years ago
The sum of two consecutive integers is 75. Find the number
Luba_88 [7]

Divide 75 by 2:

75 / 2 = 37.5

Now you need the whole number below 37.5 and the whole number above 37.5:

37 + 38 = 75

The numbers are 37 and 38

4 0
3 years ago
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