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3 years ago

Write the ratios for sine C cosine C and tangent C

Mathematics

2 answers:

lora16 [44]3 years ago

6 0

Answer:

sin c - 25/7

cos c - 7/24

tan c - 25/24

Step-by-step explanation:

monitta3 years ago

4 0

Answer:

sin C = 7/27, cos C = 24/27 and tan C = 7/24

Step-by-step explanation:

sin C = opposite/hypotenuse

= 7/27

cos C = adjacent/hypotenuse

= 24/27

tan C = opposite/ adjacent

= 7/24

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Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two

Amiraneli [1.4K]

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

$2x+3y=3.30$ ...(i)

Cost of five donuts and two cookies = $4.95

$5x+2y=4.95$ ...(ii)

Multiply equation (i) by 2.

$4x+6y=6.60$ ...(iii)

Multiply equation (ii) by 3.

$15x+6y=14.85$ ...(iv)

Subtracting (iii) from (iv), we get

$15x+6y-4x-6y=14.85-6.60$

$11x=8.25$

Divide both sides by 11.

$x=\dfrac{8.25}{11}$

$x=0.75$

Therefore, the cost of each donut is $0.75.

7 0

3 years ago

What does it mean to be "certain" to occur?

Luden [163]

Certain means the event will happen.

Impossible means the event would never happen.

5 0

3 years ago

City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

3 0

3 years ago

Read 2 more answers

Jermaine did this work to solve an equation. Did he make an error?

Tanya [424]

Answer:

First, I go by finding x and r.

After that, put the numbers (ie. x= # and r=#) into the equations. Check it by finding L.H.S and R.H.S. (ie. left hand side and right hand side)

If you are still confused, comment down and I'll try to provide better explanation!

6 0

3 years ago

Help pls (20 points it’s a lot please)

irga5000 [103]

Answer:

The amount he needs to pay = $ 650

Step-by-step explanation:

Area= h* (a+b/2)

= 10 * (10+16/2)

= 10 * (26/2)

= 10 * 13 = 130 sq.feet

The amount he needs to pay = 130 * 5 = $ 650

8 0

3 years ago