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3 years ago

Verify the identity. Justify each step.

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

From the trigonometry:

tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)

∴ tan θ + cot θ = (sin θ) / (cos θ) + (cos θ) / (sin θ)
= [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )

note : sin² θ + cos² θ = 1

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We know 5. 3 = 15. Which 2 of the following statements must also be true? (You need to select 2 answers) 9 5 is a factor of 15.

podryga [215]

Answer: 5 is a factor of 15.

15 is a multiple of 3.

Step-by-step explanation:

A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.

A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......

Therefore, the correct option from the answers given are:

5 is a factor of 15.

15 is a multiple of 3.

3 0

2 years ago

What is the Y 2(7y−1)=40

MissTica

Answer:

Step-by-step explanation:

2(7y−1)=40

14y-2=40

14y=40+2

14y=42

y=3

please mark as brainliest

5 0

2 years ago

Read 2 more answers

In a survey of 1,532 former UF students, 84% said they were still in love with Tim Tebow. The survey's sampling error was 2%. Us

nalin [4]

Answer:

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

Step-by-step explanation:

step 1:-

Given sample survey former UF students n = 1532

84% said they were still in love with Tim Tebow

p = 0.84

The survey sampling error

$= \sqrt{\frac{p(1-p)}{n} }$

Given standard error of proportion = 2% =0.02

<u>Step 2</u>:-

The 99% of z- interval is 2.57

The 99% of confidence intervals are

p ± zₐ S.E (since sampling error of proportion = $\sqrt{\frac{pq}{n} }$

$(0.84 - 2.57X0.02 , 0.84 + 2.57X0.02)$

on simplification , we get

(0.84 - 0.0514 , 0.84 + 0.0514)

(0.79 , 0.89)

<u>conclusion</u>:-

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

4 0

3 years ago

A pizza is divided into 12 pieces. Glenn and Sophie each ate 1/4 of the pizza on Thursday. The next day Sophie ate 1/3 of the pi

Natali5045456 [20]

Answer:

6 slices

Step-by-step explanation:

The full pizza is 12 pieces. Divide 12 by 4 to find out how much she ate on Thursday. 1/4 of 12 is 3 so she ate 3 slices on Thursday. Subtract 3 from 12 to find out how much was left for the next day. There were 9 slices the next day. Next, divide 9 by 3 to find out what 1/3 of 9 is. 1/3 of 9 is 3 so subtract 3 from the 9 slices. 6 slices are the original pizza remain.

3 0

3 years ago

There are 1,000 fish in a lake. Each year the population declines by 15%, but afterward, the lake is restocked with 500 aditiona

KatRina [158]

We begin with 1,000 fish in a lake.
Each year the population declines to 15%
Then they put back 500 fish in the lake.

The equation: (1000 * .85) +500

4 0

3 years ago