In triangle ABC, angle C is a right angle. Find the value of the trig function.
Find the tan(A) if c = 10 and b = 8

In Triangle ABC, Angle C Is A Right Angle. Find The Value Of The Trig Function.Find The Tan(A) If C =

Answers

Answer 1

Answer:

[tex]tan(A) = \frac{3}{4}[/tex]

Step-by-step explanation:

Given

Right-angled triangle ABC

[tex]c = 10[/tex]  [tex]b = 8[/tex]

Required

Calculated tan(A)

First, we calculate the length of a.

Since the triangle is right-angled at C, then c is the hypotenuse and side a is the opposite of A.

So, we have:

[tex]c^2 = a^2 + b^2[/tex]

[tex]10^2 = a^2 + 8^2[/tex]

[tex]100 = a^2 + 64[/tex]

[tex]a^2 = 100 - 64[/tex]

[tex]a^2 = 36[/tex]

Take square roots

[tex]a = 6[/tex]

So:

[tex]tan(A) = \frac{a}{b}[/tex]

[tex]tan(A) = \frac{6}{8}[/tex]

[tex]tan(A) = \frac{3}{4}[/tex]


Related Questions

What is the radius of this circle !! Please answer

Answers

Answer:

its half of 8 so 8/2=4

Step-by-step explanation:

Answer:

4cm

Step-by-step explanation:

The diameter is double the radius of a circle.

Here, the diameter is 8cm so the radius will be half of it (8/2)=4.

Hope this helps you :)

Please help!! Please

Answers

what do u need help with?

Step-by-step explanation:

I'm in confusion

¯\(°_o)/¯

What do you need help with????

the sum of 2 times a number (x) and -2 is atleast 8

Answers

Answer:  x ≥ 5

Step-by-step explanation:

2x - 2 ≥ 8

2x ≥ 10

(hi) :-)

ANSWER QUICK FOR BRANLIEST PLEASEEEE!!! There are 4 packs of crayons for every 7 students. How many students can share 16
packs?

Answers

The answer is 44 students

Let n be the product of the two smallest 3-digit prime numbers. Find the sum of the digits of n.

Answers

Answer:

Step-by-step explanation:

n = 101 × 103 = 10,403

sum of digits = 8

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

(4,0)

Step-by-step explanation:

PLEASE HELP MEE THIS IS URGENT

Answers

Answer:

B i think

Step-by-step explanation:

I am nit sure but j think do

b i am pretty sure it is

If you wanted to measure how much your dog weighs, which unit of measure would you use?
A: Grams
B: Meters
C: Liters

Answers

Answer:

Grams

Step-by-step explanation:

Meters is for measuring height

Litres are for measuring water

How do I answer this​

Answers

Answer:

The 4 interior angles in the square are each 90 degrees. The four angles formed by the intersection of the 2 diagonal lines are each 90 degrees. The rest of the angles <PQT, <RQT, etc. Are all 45 degrees.

Answer:

The following angles are 45 degrees: SPT, QPT, PQT, RQT, QRT, SRT, RST, PST.

The following angles are 90 degrees: STP, PTQ, QTR, RTS

Step-by-step explanation:

Notice that it is a square. Since it is a square, any diagonal line drawn from a corner to the opposite corner will bisect the angle at both corners. Since in a square each angle at each corner is 90 degrees, we know that the angles listed above are 45 degrees.

There are multiple ways to arrive at the conclusion that angles STP, PTQ, QTR, RTS are all 90 degrees. The easiest way to arrive at that answer is looking at each triangle. Notice how the square is divided into 4 triangles. Each triangle contains two 45 degree angles. Since the internal angles of each triangle must sum to 180 degrees, this means the last angle is 90 degrees.

help me quickly pls i’d really appreciate it <3

Answers

Answer:

320 grams

Step-by-step explanation:

8 bats can eat 40 grams of insects per night, and we are trying to figure out how many insects 64 bats can eat. 64 bats is 8 times as many bats as 8 bats, and we find this by dividing 64 by 8. This means they will also eat 8 times as much, so we simply have to multiply 40 by 8 to get 320 grams.

Help with this thing ??

Answers

Answer:

1/4

Step-by-step explanation:

I'm not sure if he wants the Dilution factor or the scale but anyway

CBA = 4 C'B'A'

Scale 1/4

Question Help
The number of kilograms of water in a human body varies directly as the mass of the body. An 87 kg person contains 58 kg of water. How many kilograms of water are
in a 78 kg person?
kg of water are in a 78 kg person

Answers

Answer:

52kg

Step-by-step explanation:

use cross multiplication method when encounter problems like these

9 is what percent of 45? Use the table to find the percent.
Shirts Sold
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
45
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
9 is
I
percent of 45.

Answers

Answer:

20%

Step-by-step explanation:

When asked, "x is what percent of y?" divide x by y and multiply by 100.

9/45 = 0.2

0.2 * 100 = 20%

Recall that we multiply by 100 to convert decimal to percent.

Step-by-step explanation:

Let x% of 45 be 9 Then

x % of 45 = 9

x / 100 * 45 = 9

45x = 900

x = 900 / 45

x = 20%

the options doesn't matches.

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12.56

Step-by-step explanation:

The formula to find the Circumference of a circle is [tex]C=\pi D[/tex] where d is the diameter and c is the circumference.

First, calculate the diameter of the circle by multiplying the radius by 2 and substitute it in for the value of D:

[tex]C=\pi 4[/tex]

Then, multiply pi and the diameter together:

[tex]C=12.56[/tex]

Answer:

12.57

Step-by-step explanation:

trust me

Which of the following gives the definition of dependent?

Answers

Answer:

Dependent means to not rely on other people.

Answer:

Option 4 is correct that is the property of two event in which the occurance of one of the event affect the chance of the other occuring

Look at the diagram below of the pythagorean theorem. What is the area of square A?
(Will mark brainliest, please just help me)

Answers

Answer:

It could be 14M.

Step-by-step explanation:

A to B is similar length, so that is why it could be 14M.

Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form.
P(-8,-8),q ( 0,0)

Answers

Answer:

y = x

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-8 - 0) / (-8 - 0)

-8 / -8

= 1

So, the slope is 1.

Plug in the slope and a point into y = mx + b and solve for b:

y = mx + b

-8 = 1(-8) + b

-8 = -8 + b

0 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = 1x + 0

y = x

So, the equation of the line is y = x

3.If x=3, what is the value of 3?​

Answers

Answer:

is it proper question I am sorry I canot understand

According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches, with a standard deviation of 0.07 inches. What is the probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days (taken over many years)?

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Answers

Answer:

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 0.10 inches

Given that the standard deviation of the population = 0.07inches

Let 'X' be a random variable in a normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{0.11-0.10}{0.07} = 0.1428[/tex]

Step(ii):-

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = P(Z≤0.1428)

               =  1-P(Z≥0.1428)

              =  1 - ( 0.5 +A(0.1428)

            =  0.5 - A(0.1428)

            = 0.5 -0.0596

           = 0.4404

Final answer:-

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404

Write x² - 6x + 3 in the form (x-a)²+ b.​

Answers

Answer:

(x + 3)² - 12

Step-by-step explanation:

x²+6x-3

=  x²+ 6x + 9 - 12

= (x + 3)² - 12

The form of x² - 6x + 3 can be written as (x-3)² - 6.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

Equation= x² - 6x + 3

Now,

To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:

Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.

To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.

Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.

Simplify the last two terms: (x - 3)² - 6.

Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.

Therefore, by the given equation the answer will be (x-3)² - 6.

Learn more about quadratic equations;

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Solve: 12x^2+5x-4=12^2x+6


A. x = 2

B. x = –5

C. x = 2, x = –5

D. no solution

Answers

Subtract the 12x^2 first.
5x - 4 = 6
Add the four
5x = 10
Then divide the 5 from both sides
X = 2

what are the number of terms?​

Answers

Answer:

3 terms

Terms are seperated by addition signs that are not in () that is connected to a multiplication sign.

investment A save £160 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B invest £3800. Compound interest is added at 3% each year

Answers

Answer:

95.42

Step-by-step explanation:

Investment A:

160*24*1.025=3936

Investment B:

3800(1+.03)^2=4031.42

4031.42-3936= 95.42

Investment B is  95.42 more than investment A.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

investment A save £160 per month for 2 years.

2.5% interest is added to the total amount saved.

Investment A:

160×24×1.025=3936

Investment B:

Investment B invest 3800.

Compound interest is added at 3% each year

Convert 3% to decimal value by dividing 3 by 100.

3/100=0.03

P=A(1+r)t

A is initial deposit, r is rate of interest and t is time

3800(1+0.03)²

3800(1.03)²=3800×1.0609

=4031.42

We need to find how much investment B has more than investment A.

To find this let us find difference between investment A and  investment B.

4031.42-3936= 95.42

Hence investment B is  95.42 more than investment A.

To learn more on Percentage click:

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Plz help it about surface area of a rectangular prism

Answers

Answer:

1

Step-by-step explanation:

You would have to do A=lwh which is 2x1x1/2=1

HELP FAST IM GIVING BRAINLIST BTW!!!

which is a better deal?

A- 5 bottles of water for $4.00

B- 3 bottles of water for $2.75

Answers

5, 2.75 + 2.75= 5.5 so it’s an extra dollar for 6. in which you could get 5 for 4.00

Answer:

A- 5 bottles of water for $4.00 is going to be 0.8 for each bottle

B- 3 bottles of water for $2.75 i going to be 0.91 for each bottle

so a is a better deal

Step-by-step explanation:

What are the steps for solving 6x+2y=4

Answers

Answer:

X=4-2y/6

Y=4-6x/2

Step-by-step explanation:

For X:

1) -2y

Once you subtract 2y you are left with 6x=4-2y

2) Divide by 6 on both sides to get x alone

That would give you your answer of X=4-2y/6

For Y:

1) -6x

After subtracting 6x you would have 2y=4+6x

2) Like the steps above, you divide by 2 on both sides and that would give you your answer of Y=4-6x/2

Please help I will give my whole points and mark brainlest

Answers

Answer:Graphing includes y4 + 2

Step-by-step explanation:

1/3S=9
Three options
A S=3
B. S2/3
C S=27

1/3 times S=9

Answers

Answer:

C

Step-by-step explanation:

1/3S=9

multiply 3 on both sides

S=27

Shelly is searching online for airline tickets. Two weeks​ ago, the cost to fly from Denver to Orlando was ​$220. Now the cost is ​$360. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

38,61 percent

Step-by-step explanation:

Answer:

86.37%

Step-by-step explanation:

360+50=410

410-220=190

190÷220×100%

≈86.37%

Please answer Right anwer yall

Answers

Answer:

I believe that it should be 36.

Step-by-step explanation:

You got that the equation is 1/4 s^2, which I agree with. So plugging in 12, in place of s, you get:

[tex]\frac{1}{4} * 12^{2}[/tex]

[tex]\frac{1}{4} * 144[/tex]

[tex]144/4 = 36[/tex]

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Her interest in landscapes is not surprising, because Yani lives in a region of great natural beauty in southern China, with gently rolling hills, clear streams, and ancient temples. Not far away are the famous cone-shaped Guilin mountains. The mountains are often 12. __________ in mist and are a favorite subject of the young painter. Yani paints what she feels about what she sees rather than simply what she sees. In her paintings of the mountains, she tries to capture the feeling of 13. __________ that she experienced while visiting the scene. She often begins by spilling ink onto the paper, a method known as po-mo. She follows this with a few 14. __________ strokes. Then she proceeds rapidly until the painting is completed, often in less than half an hour. Yani often includes an 15. __________ in Chinese characters as part of a painting. A typical one reads, Autumn is a withering season for the trees, but the animals are happy. 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