Find sin X, cos X, and tan X as
a fraction in simplest form.

Find Sin X, Cos X, And Tan X Asa Fraction In Simplest Form.

Answers

Answer 1

Answer:

sin X = [tex]\frac{4}{5}[/tex]

cos X = [tex]\frac{3}{5}[/tex]

tan X = [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

First, find what the hypothenuse is:

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

[tex]c^{2} = 18^{2} + 24^{2}[/tex]

[tex]c^{2} = 324 + 576[/tex]

[tex]\sqrt{c^{2}} = \sqrt{900}[/tex]

c = 30

[tex]sine = \frac{opposite}{hypothenuse}\\\\[/tex]

sin x = [tex]\frac{24}{30} = \frac{4}{5}[/tex]

[tex]cosine = \frac{adjacent}{hypothenuse}[/tex]

cos x = [tex]\frac{18}{30} = \frac{3}{5}[/tex]

[tex]tan = \frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{24}{18} = 1\frac{6}{18} = 1\frac{1}{3}[/tex]

Answer 2

Answer:

sin X = 4/5, or 0.8

cos X = 3/5, or 0.6

tan X = 4/3, or 1.333...

Step-by-step explanation:

Recall that where "o" ≡ "opposite side", "a" ≡ "adjacent side" and "h" ≡ "hypotenuse", then we have three definitions for those function

sin = o/h

cos = a/h

tan = o/a

Before solving two of these then, we'll need to know the length of the hypotenuse, so we'll apply the Pythagorean theorem to find it:

a² = b² + c²

h² = 24² + 18²

h = √(576 + 324)

h = √900

h = 30

So for X, the sine is the length of the opposite side, divided by the length of the hypotenuse, or 24/30:

24 / 30

= 4 / 5

= 0.8

The cosine of x is:

18 / 30

= 3 / 5

= 0.6

Finally the tan of x is:

24 / 18

4 / 3

1.333...


Related Questions

The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a function that describes the relationship between x and y

Answers

Answer:

y=20x

Step-by-step explanation:

Can someone help me solve this please?

Answers

Answer:

54.6 units

Step-by-step explanation:

Tangents from an external point to a circle are congruent, then

top tangent = 9.2 × 2 = 18.4

Thus

perimeter = 18.4 + 18.5 + 17.7 = 54.6 units

what can be added to 2 to give us -6

Answers

Answer:

-8 can be added to 2 to give us -6

Step-by-step explanation:

hopefully this helps :)

-8 can be added to 2 to give you -6

Please give me the correct answer.Only answer if you're very good at math.Take your time when answering.​

Answers

Answer:

your answer will be option B) y=20x+30

Step-by-step explanation:

have a great day

Which expression is equivalent to 1/3(12x+6x-21)

Answers

Answer:

[tex]6x-7[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} (12x + 6x -21)[/tex]

break it into pieces

[tex]\frac{1}{3}*12x = 4x[/tex]

[tex]\frac{1}{3}*6x=2x[/tex]

[tex]\frac{1}{3} *-21=-7[/tex]

put it all together

*since there's no negative in front  of the other numbers except 7 they're positive so you add them*

[tex]4x + 2x - 7[/tex]

simplify

[tex]6x - 7[/tex]

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

2 x + 3 y - 7 = 0
2 y = -3 x + 7

Answers

Answer:

Here is the answer i hope this helps!?

Step-by-step explanation:

(7/5 , 7/5)

Equation Form: x = 7/5, y = 7/5

Answer:

2y = -3x + 7

Step-by-step explanation:

(3, -1) and (-1, 5)

Slope:

m=(y2-y1)/(x2-x1)

m=(5+1)/(-1-3)

m=6/(-4)

m= -3/2

Slope-intercept:

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

Standard form:

y = -3/2x + 7/2

3x + 2y = 7

2y = -3x + 7

ANSWER CHOICES LISTED
what transformation to the linear parent function f(x)=x gives the function g(x)= -4x? select ALL that apply

a. Horizontally stretch by a factor of 4
b. Shift 4 units down
c. Vertically stretch by a factor of 4
d. Reflect over the x-axis

Answers

Answer:

c, d.

Step-by-step explanation:

c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.

d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.

I really don't like algebra, help meh with this plz if ur good at it...

Answers

Ok. We have

-6x + 8y = 18

They also tell us
3x = y, which is also y = 3x (just reversed)

So we take 3x and substitute it where we see y in the first equation, then solve for x

-6x + 8(3x) = 18
-6x + 24x = 18
18x = 18
x = 1

Then we solve for y
y = 3x
y = 3(1)
y = 3

Hope this helps. LMK if you have questions.

9514 1404 393

Answer:

  (x, y) = (-1, -3)

Step-by-step explanation:

You notice that the coefficient of x in the first equation is double the opposite of the coefficient of x in the second equation. This means we can make the x-term disappear by adding twice the second equation to the first.

  (-6x +8y) +2(3x) = (-18) +2(y)

  8y = -18 +2y . . . simplify

  6y = -18 . . . . . . . subtract 2y

  y = -3 . . . . . . . . . divide by 6

Substituting into the second equation, we have ...

  3x = -3

  x = -1 . . . . . . . . . divide by 3

The solution is (x, y) = (-1, -3).

I need help on this math questions please. ​

Answers

Answer:

(a)

perimeter = 2 + 8 + 4 + 7x + 4x

(b)

perimeter = 11x + 14

A robotics company sells robot vacuum cleaners. Since the newest model was introduced a while back, the old model has seen its sales fall by a consistent 20% per month. If 5,100 old vacuum cleaners were sold this month, how many will be sold 3 months from now? WILL GIVE BRAINLIEST!!

Answers

Read it again, and add 5,100 and 3 months

You bike 4 miles the first day of your training, 4.3 miles the second day, 4,9 miles the third day, and 6.1 miles the fourth day. If
you continue this pattern, how many miles do you bike the seventh day?

Answers

Answer:

+3 , +6 , + 12

x2

Step-by-step explanation:

4

4.3

4.9

6.1

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid is What is the height of the​ pyramid?

Answers

Answer:

9.48

Step-by-step explanation:

Complete question

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the​ pyramid?

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = h²+8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

Note that the value of the slant height was assumed to solve the problem.

a metal box that is in shape of cuboid has the following dimensions. the length is 9 inches, width is 2 inches and height is 1. 5 inches. find the total cost of silver coating the entire box if the cost of coating is $2.50 per Sq. inches​

Answers

Given:

Length of a box is 9 inches, width is 2 inches and height is 1.5 inches.

The cost of silver coating is $2.50 per sq. inches.

To find:

The total cost of silver coating for the box.

Solution:

The total surface area of a cuboid is

[tex]A=2(lb+bh+hl)[/tex]

Where, l is length, b is breadth and h is height.

Putting [tex]l=9,b=2,h=1.5[/tex], we get

[tex]A=2(9\times 2+2\times 1.5+1.5\times 9)[/tex]

[tex]A=2(18+3+13.5)[/tex]

[tex]A=2(34.5)[/tex]

[tex]A=69[/tex]

So, the total surface area of the box is 69 square inches.

Cost of silver coating is $2.50 per sq. inches. So, the cost of silver coating for the box is

[tex]Cost=69\times 2.50[/tex]

[tex]Cost=172.50[/tex]

Therefore, the cost of silver coating for the box is $172.50.

I need help please and thank you​

Answers

Answer:

yes i don't know that so.....

HELPPP!

Line segment DE is a midsegment of АВС. Find the value of x.

Answers

Step-by-step explanation:

The midsegment is half of the side side AC.

Half of 38=18

DE=19

Bill has $590 in his account. He earned $15 per hour for x hours, and deposited his earnings into
his account. Jeremy has $545 in his account. He earned $20 per hour for x hours, and deposited
his earnings into his account. They both worked the same number of hours and now have the same
amount of money in their accounts. Which of the following equations could be used to determine
the amount hours they worked?
A 15x + 590 = 20x + 545
B 20x + 590 = 15x + 545
C 15x + 590 + 20x + 545
D 590 – 15x = 545 – 20x

Answers

A. 15x + 590 = 20x + 545

Solve using elimination.
-4x + 7y = -1
6x - 7y = 5

Answers

Answer:

(4,-1)

Step-by-step explanation:

x is 4 y is -1

Answer:

(2,1)

Step-by-step explanation:

Let's solve your system by elimination.

6x−7y = 5;−4x+7y=−1

6x−7y=5

−4x+7y=−1

Add these equations to eliminate y:

2x = 4

Then solve2x = 4for x:

2x = 4

(Divide both sides by 2)

x = 2

Now let's plug x in to solve for y.

6x - 7y = 5

6(2) - 7y = 5

12 - 7y = 5

subtract 12 on both sides.

-7y = -7

divide both sides by -1

y = 1

The highest elevation in Delaware is 106 feet higher than the highest elevation in Florida. Louisiana's highest elevation is 190 feet higher than Florida's highest elevation. If you climbed from sea level to the highest points in Delaware, Florida, and Louisiana, you would only climb 1331 feet. How high is the highest elevation in each of the three states?

Answers

Answer:

Florida = 345 feets

Delaware = 451 feets

Louisiana = 535 feets

Step-by-step explanation:

Given that:

Let :

Highest elevation in Florida, = x

Highest elevation in Delaware = x + 106

Highest elevation in Louisiana = x + 190

Sum of highest elevation in the 3 states = 1331 feets

Hence,

x + x + 106 + x + 190 = 1331

3x + 296 = 1331

3x = 1331 - 296

3x = 1035 feets

x = 1035 / 3

x = 345 feets

Hence,

Highest elevation in Florida, = x = 345

Highest elevation in Delaware = 345 + 106 = 451

Highest elevation in Louisiana = 345 + 190 = 535

what is VIII as a number​

Answers

Answer:

8

Step-by-step explanation:

If you want you can give me brainlest

Vlll would mean eight (8).

⚠️⚠️⚠️⚠️HELP ME PLLEEAASEE⚠️⚠️⚠️⚠️⚠️

Answers

Answer:

240 feet

Step-by-step explanation:

i multiplied 6

inches and 40 feet.

Kristin's Bikes rents bikes for $11 plus $2 per hour. Willie paid $23 to rent a bike. For how many hours did he rent the bike?

Define the variable, write an equation, and solve the equation.

Answers

Answer:

6

Step-by-step explanation:

Let x = number of hours.

Let y = cost.

The fixed cost is $11.

The cost per hour is $2.

For x hours, the cost per hour is 2x.

y = 2x + 11

23 = 2x + 11

12 = 2x

x = 6

Answer: 6

A bag of marbles contains 3 yellow marbles, 4 blue marbles, akd 8 orange marbles. Which of the following is true of
selecting a green marble? Select all that apply.

Answers

Answer:

B. This event will not happen.

C. The probability is 0.

Step-by-step explanation:

Only B and C can be answers because there are no green marbles so how can you select a green marble when there aren't any. The probility is 0 which means never going to happen.

7th grade math
HELP ME whovever is good at this!
Find the volume of this prism. Its a triangular prism​

Answers

Answer:

120 cm cubed

Step-by-step explanation:

first we need to find the size of the triangular face. we can do this by taking the height and with of the base, multiplying them, then dividing by two (3*8)/2

which gives us 12, so now we multiply by 10 to get the volume of the full prism. 12*10=120

Please help me
[tex] \sf{with \: explanation \: again}[/tex]

Answers

Answer:

50,000 joules

Step-by-step explanation:

total mass of people = 50× 5 = 250kg

height = 20m

force = mass × g = 250× 10 ( taking g= 10m/s²)

f= 2500N

work done = force × distance

= 2500× 20

= 50000 joules

PLEASE HELP ME. I WILL MARK YOU AS BRAINLINEST
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
what is the standard deviation rounded to the nearest tenth?

Answers

Answer:

26.3

Step-by-step explanation:

the first guy was close, for those of you who struggle with acellus im here to help haha

Select the correct answer.
Simplify the following expression.
12a3865
9a284c5
OA 4ab2
OB. 9ab2
OC. 4a62c
OD. 9ab2c

Answers

4ab^2
First, you divide 12 by 3, giving you 4.
Then you divide a^3 by a^2, which is basically just subtracting the exponents, giving you a. Do the same with the rest of the variables. That’s how you get 4ab^2.

A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?

Answers

The area is 44.18 , hope this helps

HELP PLEASE !!!!!!!Estimate each number as a single digit times a power of ten.drag expressions to complete the table each expression may be used or not at all

Answers

Answer:

1 is 4x10^-9

2 is 4x10^10

3 is 5x10^7

4 is 2x10^-5

Step-by-step explanation:

I also would use calculator soup it's a good website

The numbers as a single digit times a power of ten are ; 1. 4x10^-9, 2. 4x10^10, 3. 5x10^7, 4. 2x10^-5

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, brackets can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Therefore, each number as a single digit times a power of ten.

1. 0.000000043 is [tex]4 \times 10^{-9}[/tex]

2. 43560000.000 is[tex]4 \times 10^{10}[/tex]

3. 56.234567  is [tex]5 \times 10^7[/tex]

4. 0.00002346 is [tex]2 \times 10^{-5}[/tex]

Hence, The numbers as a single digit times a power of ten are ; 1. 4x10^-9, 2. 4x10^10, 3. 5x10^7, 4. 2x10^-5

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

Evaluate the expression 2^5

Answers

the answer is 128 because 2.2.2.2.2.

Answer:

32

Step-by-step explanation:

2 x 2 x 2 x 2 x 2

32

hope this helps

I need awnsers people

Answers

Answer:

a) x <= 15 b) x > 16.5 c) x < 34.5 d) x =/= 23

Step-by-step explanation:

For a), there is a shaded region for where 15 is, and the number line is going towards the left, so x will be less than but also equal to 15

For b), there is not a shaded region for where 16.5 is, but the number line is going towards the right, so x will be greater than 16.5

For c), there is not a shaded region for where 34.5 is, but the number line is going towards the left, so x will be less than 34.5

For d), there is not a shaded region for where 23 is, but the number line is going everywhere else so it is x =/= 23(x does not equal to 23)

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