Q1. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Pythagorean Identity)

Q2. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Trignometric Identity)

Answers

Answer 1

Step-by-step explanation:

[tex]sinθ = \frac{3}{5} \: \: cosθ = \frac{4}{5} \\ now \\ tanθ = \frac{sinθ}{cos θ } \\ = \frac{3}{5 } \div \frac{4}{5} \\ = \frac{3}{5} \times \frac{5}{4} \\ = \frac{3}{4} [/tex]

Hope it will help :)❤


Related Questions

Help... need it right now ;-;

Answers

Answer:

1

Step-by-step explanation:

|3 + 2 - 6| = |5 - 6| = |-1| = 1

Answer:

1

Step-by-step explanation:

Hello There!

For this one, like the other one, all we have to do is plug in the values

so

l 3 - (-2) + (-6) l

3 - (-2)

the two negative signs cancels out so now its

3+2 which is equal to 5

5-6=-1

l-1l remember l l means absolute value and the absolute value of -1 is 1 so the answer is 1

An expression is shown.
95-34
What is the value of the expression?

Answers

Answer:

61

Step-by-step explanation:

    95

  - 34

_______

   61

if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :(

Answers

Answer:

8.3

Step-by-step explanation:

Given,

Circumference of the circle = 52 cm

Therefore ,

By the problem,

[tex] = > 2\pi r = 52[/tex]

[tex] = > 2 \times 3.14 \times r = 52[/tex]

[tex] = > r = \frac{52}{3.14 \times 2} [/tex]

=> r = 8.2802547771

Rounded to nearest tenth,

=> r = 8.3 (Ans)

28 is equal to how many hundredths and tenths

Answers

Answer:

0 hundredths. 2 tenths and 8 ones

I think 200 hundredths and 80 tenths

How much times does it take to put 0.3 into 5.7 whoever answers first and the most accurate gets brainliest

Answers

Answer:

what is the answer to this                    

Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.

Doctor A Doctor B

Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts

745 643 102 763 651 112

726 634 92 736 625 111

769 670 99 735 622 113

765 658 107 759 624 135

756 636 120 748 631 117

742 624 118 756 621 135

757 641 116 765 653 112

748 655 93 761 647 114

770 649 121 768 646 122

738 629 109 761 646 115

Part A

Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?

Step-by-step explanation:

the answer is 19

Step-by-step explanation:

5.7/0.3=19

Please answer this :/

Answers

Answer:

-60

Step-by-step explanation:

-45+s=-105

s=-105+45

s=-60

factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.​

Answers

Here’s what I got hope it helps

Which of the following is true about the expression 7 + V3?

Answers

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?

A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band

Answers

Answer:

D.

Step-by-step explanation:

There is no explanation

The answer is D. There is or should not be not explaining on this question

Please let me know asap

Answers

Answer:

100

Step-by-step explanation:

Hello There!

∠4 and ∠8 are corresponding angles

corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100

Find the value of 5⁰ X 7⁰ X 3⁰

plz help asap​

Answers

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

I need help ASAP I’m confused with this problem

Answers

Answer:

I believe it's A

Step-by-step explanation:

not sure but

Write the quadratic equation in standard form.
- 4(x - x²) = 8
Determine if the quadratic function

Answers

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

An electrician charges a service fee of $60 to inspect a home. If he has to
work on something he charges $25 per hour. If he charges $172.50, how
many hours did he work?

Answers

Answer:

About 4.5 hours, you can say 5 hours

Step-by-step explanation

You can solve this by constructing a linear equation, which would turn out like this, 25x+60=172.50. How I got this is that it says his charge is 25 per hour, that is basically multiplication by an unknown number, so put that as a variable. Next it says he has a service fee of 60 dollars, this is what's called an initial fee. Now all we need to do is solve for x, which turns into 4.5. I don't know if they ask to round your answer or something, I hope this is right.

Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?



$12

$10.50

$10

$8.50​

Answers

It would be $10 Sorry if i’m wrong
I believe the answer is $10!!

The mean monthly water bill for 44 residents of the local apartment complex is $104. What is the best point estimate for the mean monthly water bill for all residents of the local apartment complex?

Answers

Answer:

$104

Step-by-step explanation:

The computation of the best point estimate for the mean monthly water bill is shown below:

Given that

The mean monthly water bill is $104

and, the number of residents is 44

based on the above information

The best point estimate would be equivalent to the mean monthly water bill i.e. $104

hence, the same would be considered

What decimal is equivalent to 8/40?

Answers

Answer:

0.20

Step-by-step explanation:

8 divided by 40 equals 0.2

0.20 is the decimal is equivalent to 8/40.

What is decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:

Fraction = 8/40

Now, simplifying the given fraction

8/40

= 8/( 8x 5)

= 1/5

=0.20

Hence, 0.20 is the decimal is equivalent to 8/40.

Learn more about decimal here:

https://brainly.com/question/109147

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Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?

Answers

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

Noah has $5.
1.
a.
Elena has 40% as much as Noah. How much does Elena have?
b.
Compare Elena's and Noah's money using fractions. Draw a diagram to
illustrate.

Answers

Answer:

a. $4

b. Noah has 5/5. Elena has 4/5.

Step-by-step explanation:

Noah has $5.

a.

Elena has 80% of Noah's money.

80% of $5 = 0.80 * $5 = $4

b.

Noah has $5. We can consider $5 to be the full amount.

A full amount is 100% or 1 or 5/5.

Elena has 80% of Noah's money, so she has 80/100 of Noah's money.

80/100 reduces to 4/5.

Noah has 5/5, and Elena has 4/5.

The money that Elena has is $2.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The given problem can be solved as follows,

(a) The amount of money Elena has is 40% of that of Noah.

It can be written as follows,

40% × 5

= 40/100 × 5

= 2

(b) Since the Elena has 40% of the Noah's money,

In the form of fraction it can be written as follows,

40% = 40/100

        = 2/5

This can be represented in a diagram as follows,

In the diagram shown the circle has in total 5 sectors of which 2 yellow sectors represent Elena's money.

Hence, the amount of money Elena has is $2 which is shown in the diagram.

To know more about percentage click on,

brainly.com/question/29306119

#SPJ2

Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation

Answers

Answer:

y = 5x + 100

Step-by-step explanation:

Which of the following is a statistical question? A. How many girls named Jennifer are there in the class? B. What is the age of students in Ron's school? C. How many artifacts are there in the museum? D. What is the capital of Texas?

Answers

Answer:

bbbb

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It may vary

15 less than 3 times a number is 5 more than half of the number.

Answers

Answer:

Mystery Number is 8

Step-by-step explanation:

3x - 15 = 5 + 1/2x

3x - 1/2x = 15 + 5

5/2x = 20

x = 20 / 5/2

x = 20 * 2/5

x = 40 / 5

x = 8

The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only

Answers

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

[tex]60x=420[/tex]

[tex]x=\dfrac{420}{60}[/tex]

[tex]x=7[/tex]

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

Branliest to correct answer explain how you solved it please

Answers

Answer:

0.03

Step-by-step explanation:

.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03

Answer:

0.03

Step-by-step explanation:

The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.

Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.

Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.

Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.

.5% of what number is 15.8?

Answers

Answer:

316 should be your answer

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

.5% of what number is 15.8?

Let the unknown number be x.

0.5% * x = 15.8

0.005x = 15.8

x = 15.8/0.005

x = 3160

Simplify the expression m 4/5x m1/10

Answers

Answer:

√x4

Step-by-step explanation:

(x^2+x−3)⋅(x^2−4)

(y^2+6y+8)−(y^2+y−12)

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less

Answers

Answer:

The minimum sample size which should be used is 315.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.

This means that [tex]\pi = 0.92[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?

The minimum sample size that should be used is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]

[tex]n = 314.2[/tex]

Rounding up

The minimum sample size which should be used is 315.

8th grade math, explain if you can please.

Answers

Answer:

I'm pretty sure that the answer is 1.76?

Step-by-step explanation:

The formula is this tho:

V=πr^2h

Are congruent triangles also similar?

Answers

Answer: yes they are

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.

Answer:

Yes

Step-by-step explanation:

While congruent triangles are similar, similar triangles may not be congruent.

Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole

Answers

Answer:

It will be 78

Step-by-step explanation:

Because if you do 84 minus 6 you get 78

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