Right Triangle ABC has its right angle at C, BC = 4, and AC= 8.

What is the value of the trigonometric ratio?

cos B
csc B
tan A

Drag a value to each box to match the trigonometric ratio?

Answer:

A. x = 16, y = 9√2

Step-by-step explanation:

✔️Let's find y first using trigonometric ratio:

Reference angle = 45°

Hypotenuse = y

Opposite = 9

Therefore,

Sin(45) = 9/y

y = 9/sin(45)

y = 9/(1/√2)

y = 9 × √2/1

y = 9√2

✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.

Adjacent side using Pythagorean Theorem would be,

Adj² = y² - 9²

Adj² = (9√2)² - 9²

Adj² = 162 - 81

Adj² = 81

Adj = √81

Adj = 9

x = adj + 7 = 9 + 7

x = 16

Answer:

its #3

Step-by-step explanation:

hope this helps

it's 3

Step-by-step explanation:

Hope it is correct

Answer:

[tex]y =\frac{1}{2}x -4[/tex]

Step-by-step explanation:

m = (1/2)  ; (2 , -3)

y -y1 = m(x - x1)

[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

Answer:

I=P-A          

___________________________

Answer:

D: 14

Step-by-step explanation:

since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people

Answer:

x+1>9 hahaahah........

Answer:

9+10=19 but if you are talking about the meme 21

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

Answer:

1.2 cups of raisins or 1 and 1/5 cups of raisins. (Same thing) :)

Step-by-step explanation:

6/5 is 1.2. So multiply the 1 by 1.2 as well to get 1.2. This was solved by using proportions.

Hope it helps!

Answer:

-x + 20y

Step-by-step explanation:

trust me.. its right

Answer:

a. Radius of DA - 2 cm.

b. Area of rectangle ABCD -

c. Area of shaded - 8-4π

d. Perimeter of shaded region - also 8-4π

Hope this helps!  

Answer:

The midpoint is (3, 3).

Step-by-step explanation:

We are given the two points A(9, 11) and B(-3, -5).

The midpoint is given by:

[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]

So:

[tex]\displaystyle M = \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)[/tex]

The midpoint is (3, 3).

We want to show that AM = MB.

We can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The distance between A(9, 11) and M(3, 3) will then be:

[tex]AM=\sqrt{(9-3)^2+(11-3)^2}=\sqrt{6^2+8^2}=\sqrt{100}=10[/tex]

And the distance between B(-3, -5) and M(3, 3) will be:

[tex]MB = \sqrt{ (3-(-3))^2 + (3-(-5))^2 } = \sqrt{(6)^2+(8)^2} = \sqrt{ 100 } = 10[/tex]

So, AM = MB = 10.

Since AM = MB = 10, AM + MB = 10 + 10 = 20.

So, we want to prove that AB = 20.

By the distance formula:

[tex]AB=\sqrt{(9-(-3))^2+(11-(-5))^2}=\sqrt{12^2+16^2}}=\sqrt{400}=20\stackrel{\checkmark}{=}20[/tex]

Answer:

Charles

Step-by-step explanation:

Answer:

hope this helps

Answer:

x>3

Step-by-step explanation:

thats the answer.......

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that [tex]p = 0.18[/tex]

You randomly select 15 students

This means that [tex]n = 15[/tex]

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]

[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]

[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

the answer is the 3rd one

Step-by-step explanation:

9514 1404 393

Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.

Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:

  Tan = Opposite/Adjacent

  tan(y) = (10 cm)/(8 cm) = 1.25

Then the angle is found from the inverse tangent function:

  y = arctan(1.25)

  y ≈ 51.3°

Answer:

48 cuts and styles

Step-by-step explanation:

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

Find out more at https://brainly.com/question/13400675.

Answer:

2. definition of congruence

Step-by-step explanation:

sorry I just know that one

Answer:

Step-by-step explanation:

2x^3y and 2yx are not like terms since x^3 can't be added to x since it's not x^3 but x^2.

Answer:

18/25

Step-by-step explanation:

Answer:

[tex]\sqrt{61}[/tex] units

Step-by-step explanation:

We are given that

[tex]P_1=(-2,5)[/tex]

[tex]P_2=(4,0)[/tex]

We have to find the distance d (P1, P2) between the points P, and P2

We know that

Distance between  two points (x1,y1) and (x2,y2)  i

=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]

The distance d (P1, P2) between the points P, and P2

[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{6^2+25}[/tex]

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{61}[/tex] units

Answer:

Step-by-step explanation:

Just give me the answer

Answer:

yes its correct

Step-by-step explanation: