need help with trigonometry

Need Help With Trigonometry

Answers

Answer 1

Answer:

Step-by-step explanation:

Let us first find the hypotenuses of the right triangle.

[tex]c=\sqrt{12^2+9^2} =\sqrt{225} = 15[/tex]

[tex]sin(theta) = 12/15 = 4/5\\cos(theta) = 9/15 = 3/5\\tan(theta) = 12/9 = 4/3\\csc(theta) = sin(theta)^{-1} = 5/4\\sec(theta) = cos(theta)^{-1} = 5/3\\cot(theta) = tan(theta)^{-1} = 3/4[/tex]


Related Questions

What is the value of x if x/4+2=15
Help!​

Answers

Answer:

Step-by-step explanation:

because i don't know if the 2 is with the 4 or not I have calculated both.

x/4 + 2 = 15

<=> x/4 = 13

<=> x = 13.4 = 52

x/(4+2) = 15

<=> x/6 = 15

<=> x = 6.15 = 90

Answer:

52

Step-by-step explanation:

[tex]\frac{x}{4} + 2 = 15[/tex]

The first step is to shift all number values to the right. To do this, subtract 2 from the equation.

This will give

[tex] \frac{x}{4} = 13[/tex]

Now, multiply the equation by 4.

Hence,

[tex]x = 13 \times 4 = 52[/tex]

Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order

Answers

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

5 + 7 = 12 total fruits, which means that [tex]N = 12[/tex]

7 apples, which means that [tex]k = 7[/tex]

You receive 2 fruits, which means that [tex]n = 2[/tex]

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182[/tex]

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

Simplify.
x^3 divided by x^5

Answers

Answer:

Step-by-step explanation:

x^3/x^5

=x^3-5

=x^-2

=1/x^2

Subtract: ─ 32 ─ 128

Answers

Answer:

-160 is the answer

Step-by-step explanation:

- × - = +

+ × + = +

so,-32-128

=-160

-160 will be the answer

NEED HELP ASAP. WILL GIVE BRAINLY
2. Solve system A by substitution. Solve system B by elimination.

A. {
x = 3y − 4
2x − y = 2

B. {
3x + 2y = 7
−x + y = −4

Answers

Answer:

A. x = 2 and y =2

B. x = 3 and y = -1

Step-by-step explanation:

A. { x = 3y − 4

    2x − y = 2

1) Substitute the value of x

2(3y − 4) − y = 2

2) Solve the equation for y

y = 2

3) Substitute the value of y

x= 3(2) -4

4) Solve the equation for x

x = 2

Final Solution: x = 2 and y =2

B. { 3x + 2y = 7

     −x + y = −4

1) Multiply both sides of the equation by 3

-3x + 3y = -12

2) Eliminate one variable by adding the equations

  3x + 2y = 7

+ (−3x + 3y = −12)

   5y = -5

3) Divide both sides of the equation by 5

y = -1

4) Substitute the given value of y into the equation -x + y = -4

-x + (-1) = -4

5) Solve the equation for x

x = 3

Final Solution: x = 3 and y = -1

What is the value of the missing angle (x+15)

Answers

Answer:

x = 70

Step-by-step explanation:

The total interior angle in a square, even with not a perfect square, adds to 360

Set your formula up as

360 = (x+15) + x + 115 + 90

360 - 115 - 90 - 15 = 2x

140 = 2x

140/2 = x

70 = x

if x varies directly as y write a formula connecting x and y y.use k as a constant of variation.

Answers

Answer:

x=KY

as x is directly proportional to y

HELP PLEASEEEEE IM BEGGING !!

Answers

Answer:

80°

Step-by-step explanation:

lol hope I'm correct

Yesterday, the temperature et noon was 11.4" misright, the tempe tine had decreed by 15.7 degrees what was the
Temperature at midnight

Answers

Answer:

-4.3 degrees

Step-by-step explanation:

if I understand the problem correctly, then the temperature at midnight fell 15.7 degrees from 11.4 degrees at noon.

11.4 - 15.7 = -4.3 degrees

so, the temperature at midnight was -4.3 degrees

Grace swam 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. How many kilometers did she swim in all? Use paper to show your work. Select the correct answer.

Answers

Answer:  0.85 km

Step-by-step explanation:

Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.

Add.

0.6+0.25= 0.85 km

Math Escape Level 3 plz hurry it is due to today bestie

Answers

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

What is the value of the expression below if y = 5?
35 = (y + 2) + 4

Answers

35=(5+2)+4
35=7+4
35=11
false so their is no answer

Answer:

11

Step-by-step explanation:

Using GEMDAS

G-Group

E-Exponent

M-Multiplication

D-Division

A-Addition

S-Subtraction

Step 1: Substitute the value y=5 in the equation

35÷(5+2)+4

Step 2: Evaluate the equation by computing first the parenthesis

35÷(7)+4

Step 3: Next divide 35 by 7

(5)+4

Step 4: Add

=9

The answer is 9.

the graph shows the relationship between the amount of milk and water used in a recipe

Answers

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

Given

See attachment for graph

Required

The rule of the graph

Pick any two points on the graph

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (1,4)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 - 0}{1 - 0}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m =4[/tex]

The graph equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 4(x - 0) + 0[/tex]

[tex]y = 4(x)[/tex]

[tex]y = 4x[/tex]

The above shows that the x values are multiplied by 4 to get y

help pls I'd appreciate it​

Answers

Answer:

10

step by step solution is in the pic...

The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are three appetizers, five soups, three main courses, and three desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible

Answers

Answer:

number of ways to chose a three course meal is 90

Step-by-step explanation:

Given the data in the question;

Number of appetizer = 3

Number of soups = 5

Number of main courses = 3

Number of desserts = 3

Now,

Number of ways that appetizer can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

Number of ways that soups can be chosen = ⁵C₁ = 5!/(1!(5-1)!) = 5

Number of ways that main courses can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

Number of ways that desserts can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

So,

First we chose an appetizer, soup and main course.

Number of ways will be;

⇒ 3 × 5 × 3 = 45

Next,  we chose a dessert, a soup & a main course.

Number of ways will be;

⇒ 3 × 5 × 3 = 45

Total number of ways to chose a three course meal

⇒ 45 + 45 = 90 ways

Therefore, number of ways to chose a three course meal is 90

Answer:

90?

Step-by-step explanation:

In how many ways the letter of the word 'Nawalpur' be arranged in which no tow A's come together.​

Answers

Answer:

below

Step-by-step explanation:

(8! - 7!)

= 35280

that is the procedure above

Help please! No rush, I'll give brainliest for best answer​

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

Your friendly local graphing calculator or spreadsheet can tell you the quadratic regression equation. It best matches choice A.

Why can the value of the variable a in the expression a + 2 be any number?
Why does the variable b in the equation b + 2 = 5 have only one value?


Please help Without any links or without deleting the answer<3

Answers

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation

Can anyone help pls? Thanks much appreciated

Answers

Answer:

x ≈ 5.7

Step-by-step explanation:

Recall, SOH CAH TOA.

We are given:

Reference angle = 35°

Opposite side length to reference angle = 4

Adjacent side = x

To find x, apply the trigonometric equation, TOA, which is:

Tan 35° = Opp/Adj

Substitute

Tan 35° = 4/x

x*Tan 35° = 4

x = 4/Tan 35°

x ≈ 5.7

What is the answer to this

Answers

Answer:

A

Step-by-step explanation:

Answer:

[tex]x < - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

A food distribution company has employees that order food supplies for local restaurants by predicting sales. The company pulls an SRS of 500 orders and finds that 408 orders were correct. Calculate and interpret a 95% confidence interval for the proportion of all orders that were correct

Answers

Answer:

(0.782, 0.85)

Step-by-step explanation:

Here

The sample size =  500

Number of favourable cases = 408

Confidence interval = 95%

Proportion of sample = 408/500 = 0.816

Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96

Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)

Substituting the given values we get –  

0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)

(0.782, 0.85)

A boat goes 25 mph in still water, and the rate of the current is t mph.
What Is the rate of the boat when it travels up stream? What is the rate of the boat when it travels down stream?

Answers

Answer:ppppppppp

poopy

Meg invested $16,000 in a savings account. If the annual interest rate is 6%, how much will be in the account in 5 years for quarterly compounding? Round your answer to two decimal places.

CORRECT ANSWER IS: 21549.68

Answers

Answer:

In 5 years the account will be $ 21,549.68.

Step-by-step explanation:

Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:

16,000 x (1 + 0.06 / 4) ^ 5x4 = X

16,000 x 1,015 ^ 20 = X

16,000 x 1.34685500 = X

21,549.68 = X

Therefore, in 5 years the account will be $ 21,549.68.

Answer:

Step-by-step explanation:

A+?
P=$16,000
r=0.06
t=5

A=P(1+r/n)∧ nt

A=16,000(1+0.06/12)∧12⋅5


A=$21,581.60

The area of a triangle with a height of 9 cm and a base of 6 cm is

Answers

Answer:

27 cm²

Step-by-step explanation:

Formula of Area Triangle = 1/2(base x height)

Base = 6 cm

Height = 9 cm

1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27

Units = cm * cm = cm²

27 cm²

Why the formula (1/2 ( base x height )) works:

Take a triangle

Duplicate the triangle

And rotate the triangle and put it next to the other one

What shape does it form?

Either a parallelogram or a rectangle

The formula for a parallelogram or rectangle is (base x height)

Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.

So, do base x height

And divide by 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Determine the smallest integer value of x in the solution of the following inequality.
5x -5 > -18

Answers

Answer:

5x>-18+5

5x>-13

5x/5>-13/5

x>-2.6

State the next three terms of Fibonacci sequence 1,1,2,3,5,8,13

Answers

Answer:21 then 34

Step-by-step explanation: its just correct lol

Sisjsbskssksnneneooxccjdbdndkd

which expression is equvialent to (2x^2+4x-7)(x-3)

Answers

answer:

we need choices to be able to answer

Seven times the sum of twice a number and 16

Answers

Answer:

7(2x+16)

Step-by-step explanation:

first, we look at the part where it says the sum of twice a number and 16

let's represent the number by using x. since it says twice a number, that would mean 2x.

when it says the sum of twice a number and 16, this means that we have to add them, so we would get 2x+16.

finally, in the beginning it says seven times the sum of twice a number and x, which would mean that we would have to multiple 2x+16 by 7.

answer:

7(2x+16)

7(2x+16)
the x is “the number”
“and” meaning +

Hi can someone help me with this pleaseee

Answers

Second choice.

Which is 1591.1 cm^2.

What is the unequal represented by the graph

Answers

I think if I’m not mistaken the answer should be

X>1.5
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