Given:
sin (C) 4/9

Find tan (C)

Answers

Answer 1

[tex]sin(C)=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{9}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2 - 4^2}=a\implies \sqrt{65}=a \\\\[-0.35em] ~\dotfill[/tex]

[tex]tan(C)=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{\sqrt{65}}}\implies tan(C)=\cfrac{4}{\sqrt{65}}\cdot \cfrac{\sqrt{65}}{\sqrt{65}}\implies tan(C)=\cfrac{4\sqrt{65}}{65}[/tex]


Related Questions

I need help Plssssssss

Answers

No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.

so it's 1,4,7,8 and 13 so the median is 7

so we do not agree with him

THANKS!FROM CAMBRIDGE UNIVESITY:)

At the city museum, child admission is $5.60 and adult admission is $9.30. On Monday, 166 tickets were sold for a total sales of $1277.40. How many adult tickets were sold that day?

number of adult tickets []

Answers

Answer:

number of child ticket sold=x =86

number of adult ticket sold = y =74

THIS HAS BEEN KILLING ME!!!!!
The function y=-1/3x is reflected across the x-axis. What's the equation of the new function?
- explain step by step, please.

Answers

Check the picture below.

let's bear in mind that the -(1/3)x has a negative slope, namely going down, so a reflection over the x-axis will yield the same points pretty much, but instead of the IV Quadrant, on the I Quadrant, above, whilst the slope remains the same, it simply turns positive.

does 27, 18, and 7 form a right triangle?​

Answers

Answer:

No

Step-by-step explanation:

If you use the Pythagorean theorem:

sqrt (7^2+18^2)= sqrt 373 and 27^2 does not equal to 373

Answer:

No

Step-by-step explanation:

A right triangle is exactly 90 degrees and 27, 18, and 17 equal less than 90 so it does not equal a right triangle.

Beth's class party was held in a steamboat on a local lake. The steamboat made a circuit of the lake at a constant rate of 16 mph. It traveled a total of 40 mi. around the lake. How long did the trip on the steamboat last?

(A) 2.5 hr.

(B) 3 hr
.
(C) 4.2 hr.

(D) 5 hr.​

Answers

Answer:

A

Step-by-step explanation:

2.5 x 16 = 40

What is the measure of ABC?

A 44°
B 88°
C 176°
D 92°

Answers

Answer: C) 44 degrees

Step-by-step explanation:

44

Please someone help me it’s due tomorrow

Answers

Answer:

Step-by-step explanation:

8) D

9) B

Janice lost a total of 75 pounds over the course of 12 months. How many pounds on average did Janice lose each moth? Answer with a mixed number.

Answers

Answer:

The awnser is 6.25 pounds

Step-by-step explanation: 75/12 = 6.25 which means every month she lost a total of 6.25 pounds and on a 12 month average she lost 75 pounds

What is the perimeter of ^AEB? 16.4 ft 18.5 ft 18.7 ft 22.9 ft

Answers

The perimeter of ΔAEB is 18.5 feet.

What is Triangle Proportionality theorem?

A triangle's other two sides are divided in the same proportion if a line drawn parallel to either one of its sides intersects the other two sides at two different spots.

As,  side AB║DF hence we will use Triangle Proportionality theorem to calculate the length of side AE.

Since, AE/AD = EB/ BF

AE/2 = 7.2/8.4

AE = 6.5 feet

So, the perimeter of ΔAEB is

= AE + EB + BE

=6.5+4.2+7.8

=18.5 ft.  

Hence, the perimeter  is 18.5 feet.

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Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:

3^3 = 27, so C

Please give brainliest :)

Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Pleaseeee

Answers

Answer:

6x^2 + 3x + 21 = 3(2x^2 + x + 7)

Step-by-step explanation:

We have this as follows;

6x^2 + 3x + 21 = 3(2x^2 + x + 7)

The quadratic trinomial inside the bracket cannot be factored any further

so we have the present form as the correct answer

.You have an "equality sign" that connects 1kg of NaCl to 27 ml of a solvent, how many ml are associated with 9100 grams?

Answers

Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.

What does ≡ mean in math?is a synonym for exactly. This is comparable to equals but not quite the same. To avoid confusion, always use the symbol =, which stands for about equal to or virtually equal to. This symbol indicates two sides of a connection that are not precise enough to be mathematically manipulated.≅ (mathematics) equivalent to around. quotes (geometry) similar to. The computer science term "it is defined as" is denoted by the meta symbol::=, which is not a mathematical expression , everywhere.x ≔ y or x ≡ y indicates that x is understood to be another name for y (however it should be noted that can also denote other things, such as congruence). P :⇔ Q denotes the logical equivalence of P to Q. Congruent or, more generally, an arbitrary equivalence relation is denoted in some circumstances by the triple bar or equal sign with three lines.

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Find each number. Round to the nearest tenth if necessary./
18 is 25% of what number? (show work)

Answers

Answer:

72

Step-by-step explanation:

25%:18

50%:36

75%:54

100%:72

I WILL GIVE YOU BRAINLY IF YOU CAN'T ANSWER IT PLS DO NOT ANSWER



Each time a student scores an 80% or higher on a quiz, a teacher puts a raffle ticket
in a jar. At the end of the quarter the teacher draws three tickets. Does EVERY
student in the class have a fair chance of having their name drawn when the teacher
draws the names for the raffle? Why or why not?

Answers

Answer:

no because some students might not get 80% or higher on their test

sorry if this isnt helpful

Yes I agree with the other person, some people might not get higher than 80%

what is 13 divided by 12

Answers

The answer simplified would be 1.08

Answer:

1.0833333333333333333333333333333333 (repeats)

Step-by-step explanation:

use a calculator

what is the surface area of a 27 centicube cube with 3 cm sides

Answers

54
Cube surface area formula is 6xa^2 so it would 6x3^2

Kassidy charges a flat rate for mowing yards in her neighborhood, shown on the graph below.

Answers

Answer: Fri: 87.5

Sat: 105

Sun: 52.5

Total: 245

Step-by-step explanation: You multiply each lawn she mowed by 17.5

5. There are 42 teachers who work in a school. On Monday, 29 teachers were present. What percentage of the teachers showed up for work? ​

Answers

Answer:

69%

Step-by-step explanation:

There are 42 teachers who work in a school. On Monday, 29 teachers were present. The percentage of the teachers that showed up for work will be:

= 29 / 42 × 100

= 69%

Answer:

Step-by-step explanation:

In any case where you're asked, "what percentage of A is B?" you can simply divide the number B by the A. The decimal you get is the answer. for example, if you're being asked what percentage 12 is of 25, you just divide 12 by 25 to get 0.48, which translates to 48 percent. in your case, 29/42 is 0.69 (rounded down from 0.6904761905) which equals 69%.

In a case where B is larger than A, you still do the same, only with the addition of the whole number. Ex: what percentage of 25 is 86?

86/25 is 3.44, so your answer is 344%.

Hope this helped :)

Mason has 2 1/2 cups of peanut
butter. He is making peanut butter
sandwiches. If he uses 1/8cup of
peanut butter in each sandwich,
how many sandwiches can he
make?
Help

Answers

Answer:

Mason can make 20 sandwiches.

Step-by-step explanation:

2 1/2 ÷ 1/8 = 20

Alyssa just accepted a job at a new company where she will make an annual salary of $53000. Alyssa was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Alyssa make as a salary after 3 years working for the company? What would be her salary after
t
t years?

Answers

Answer:

68,000

Step-by-step explanation:

53,000+5,000x3

5,000x3=15,000

53,000+15,000=68,000

Is this a right triangle?

Answers

Answer:

Yes.

Step-by-step explanation:

A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.

~

Yes it is a right triangle

someone please please help !

Answers

Answer:

50.3

Step-by-step explanation:

[tex]\pi {r}^{2} \times h[/tex]

[tex]4\pi \times 4 = 50.3[/tex]

200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit
punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.
Please help me, (with show of math)

Answers

Yes, because as x increases, y increases and because all of the pairs represent the same ratio.

What does it mean when a ratio is proportional?

When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.

If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.

Yes, because as x increases, y increases.

Yes, because all of the pairs represent the same ratio.

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What is the HCF of the polynomials x6 3x4 3x^2 1 and x^3 3x^2 3x 1?

Answers

The HCF of the polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1 is 1

When we divide the polynomials f(x) / g(x) then we get f(x) = g(x) × q(x) + r(x). Assuming the degree of g(x) > degree of r(x).

If the remainder r(x) is zero, then q(x) is the highest common factor of polynomials.

Here, we have been given two polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1

Let  f(x) = x^6 + 3x^4 + 3x^2 + 1 and  g(x) = x^3 + 3x^2 + 3x + 1

We can write these polynomials as:

f(x) = x^6 + 3x^4 + 3x^2 + 1

f(x) = (x² + 1)^3

The factors of polynomial  f(x) = x^6 + 3x^4 + 3x^2 + 1: 1 and  (x² + 1)^3

And g(x) = x^3 + 3x^2 + 3x + 1

g(x) = (x + 1)^3

And the factors of g(x) = x^3 + 3x^2 + 3x + 1 : (x + 1)^3 and 1

Therefore, the HCF of the polynomials f(x) and g(x) = 1

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2. Ask one of your teachers how tall they are in feet/in. Write it here:
Now, covert their height into centimeters (cm).
feet
in.
1 ft = 12 in
1 in = 2.54 cm

Answers

My teacher:
- 5'3
- 5.25 ft
- 63 in
- 160 cm

Tara placed the numbers -2 1/6, 3/11 and 2 2/9 on the number line below. Which letters
represent the correct location for each number?

-2 1/6 is A, 3/11 is C, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is F
or
-2 1/6 is B, 3/11 is D, and 2 2/9 is F

Answers

Answer:

sorry beacuse I don't know anything

3 A sphere is increasing in volume at the rate of 20 in3/s. At what rate is the radius of the sphere increasing when the radius is 4 in.? A.0.982 inls B.0.424 inls C.0.995 inls D.0.025 inls

Answers

The rate of increase of the radius is 0.025 in/sec.

What is a sphere?

A three-dimensional object with a sphere-like shape. A sphere has no vertices or edges, unlike other three-dimensional shapes. The distances between each point on its surface and its center are equal.

In other words, the distance between any two points on the surface and the sphere's center is equal. The formula for the Volume of the sphere is given by

Volume of sphere = (4/3)πr³

Where, r = radius of the sphere

Here we have

A sphere is increasing in volume at the rate of 20 in³/s.  

Here we need to find at what rate the radius of the sphere increases when the radius is 4 in.

Let v = Volume of the sphere at time t

=> Change in Volume = dv/dt  = 20

r = Radius of the sphere at time t

As we know, the Volume of the sphere, v = (4/3)πr³

Differentiate the Volume of the sphere with respect to t

=> dv/dt = (4/3)3πr³⁻¹)(dr/dt)

=> dv/dt = 4πr² (dr/dt)

=>  20 = 4πr² (dr/dt)  

=>  5 = πr² (dr/dt)  

Given that radius, r = 4

=> 5 = π4² (dr/dt)  

=> 5 = (22/7) 64 (dr/dt)  

=> 5 = 3.14(64) (dr/dt)  

=> dr/dt = (5/3.14 × 64)  

=> dr/dt = 0.024880573

=> dr/dt = 0.025

Therefore,

The rate of increase of the radius is 0.025 in/sec.

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Which expression is equivalent to (4^3 · 6^3)^7?

a) 10^21
b) 10^42
c) 24^21
d) 24^42

Answers

Answer:

C

Step-by-step explanation:

the answer is C but the alternative form is 9.64797×10^28

nevermind i think it's B now arg sorry

The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?

Answers

The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.

The formula for calculating percentages?

To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.

Since when do we utilize percentages?

Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.

According to the given information:

We are aware that m = CV, where

V = volume and c = concentration

Let

M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.

It is known that m + m' = M.

where cv + c'v' = CV

Since cv + c'v' = CV, the formula is:

c = 3.7% concentration = 0.037;

v = volume of 3.7% = 1 ounce;

c = 7.9% concentration = 0.079;

v' = volume of 7.9%;

C = 6.5% concentration = 0.065;

and V = volume of 6.5% = v + v'

We obtain by altering the values of the variables in the equation

3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')

3.7% + 7.9 %v' = 6.5%(1 + v')

3.7% + 7.9 %v' = 6.5% + 6.5%v'

7.9%v' - 6.5%v' = 6.5% - 3.7%

1.4%v' = 2.8%

v' = 2.8%/1.4%

2 ounces are v'.

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Which right triangular prism has the greatest volume?

A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters.

A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters.

A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters.

A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.

Please Answer ASAP!

Answers

Answer:

B

Step-by-step explanation:

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