All categories

3 years ago

Evaluate cos0 if sin0= 5/3

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

Answer:

cos0 = 4/3

Step-by-step explanation:

If sin0 = 5/3 then cos0 = 4/3

Sin is opposite/hypotenuse or 5/3.

Cos is adjacent/hypotenuse or 4/3

I found 4 because of Pythagorean Theorem on the triangle, which is known as a 345 triangle.

You might be interested in

In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear pow

leva [86]

Answer:

The test statistic z = z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Given data In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents

The first sample proportion $p₁ = \frac{63}{100} =0.63$

The construction of 59 of 125 suburban residents are in favor

The second sample proportion $p_{2} = \frac{59}{125} = 0.472$

Given the sample sizes are n₁ = 100 and n₂ =125

Null hypothesis(H₀):-there is no significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Alternative hypothesis: H₁

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Level of significance:-

∝ =0.05

Tabulated value z=1.96

Test statistic

$z = \frac{p_{1}-p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }$ q = 1- p

Substitute all values in above equation

$p = \frac{100X0.63+0.472X125}{100+125} = 0.542$

q = 1-p = 1 - 0.542 = 0.458

The test statistic

$z = \frac{0.63-0.472}{\sqrt{0.542X0.458}(\frac{1}{100}+\frac{1}{125} )}$

on simplification , we get

z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

Conclusion:-

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

8 0

3 years ago

What is -5-3(-5x-3)-3x

lukranit [14]

Answer:

12x+4

Step-by-step explanation:

when simplified you would get 12x + 4

7 0

3 years ago

Read 2 more answers

The balance in your bank account is $720.50. You use your debit card for purchases of $45, $82, and $22.25. Then, you deposit $9

myrzilka [38]

Answer:

669 dollars and 70 cents

Step-by-step explanation:

just minus all the money spent and add the money added

7 0

3 years ago

A table has an area of 12 ft squared and a perimeter of 16 ft. What are the dimensions of the table?

Likurg_2 [28]

P=2x+2y, y=(p-2x)/2

a=xy, using y found above in this equation gives you:

a=(px-2x^2)/2 we are told a=12 and p=16 so

12=(16x-2x^2)/2

24=16x-2x^2

2x^2-16x+24=0

2x^2-12x-4x+24=0

2x(x-6)-4(x-6)=0

(2x-4)(x-6)=0

2(x-2)(x-6)=0

So the table is 2 ft by 6 ft.

7 0

3 years ago

Read 2 more answers

James usually drinks 38 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking

vova2212 [387]

Answer at very bottom of picture above

if explanation need comment

7 0

3 years ago

Evaluate cos0 if sin0= 5/3​

Evaluate cos0 if sin0= 5/3