All categories

3 years ago

Use the diagrams at the right to find the trigonometric ratio

Mathematics

1 answer:

zzz [600]3 years ago

8 0

Hi, It is simple:

Sin(A) = a / c

Cos(A) = b / c

Tan(B) = b / a

Sin(J) = j / i

Cos(K) = j / i

Tan(K) = k / j

This are the answers

You might be interested in

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

This has been shown in (c) above

3 0

3 years ago

Use the Distributive Property to write each expression as an equivalent algebraic expression. –9(–x + 5)

Anna11 [10]

Answer:

9x -45

Step-by-step explanation:

The distributive property tells you the factor outside parentheses applies to each of the terms inside parentheses:

-9(-x +5) = (-9)(-x) +(-9)(5)

= 9x -45

5 0

3 years ago

Read 2 more answers

If f(x) = 5x - 2, what is f(x - 1)? A. 5x - 2 B. 5x - 3 C. 5x + 1 D. 5x - 7

Agata [3.3K]

C 5x- i hope this helps you

6 0

4 years ago

Please I NEED HELP HURRY The quotient of six and a number subtracted from 100 Question A 100 - 6/x Question B 6/x - 100 Question

jasenka [17]

For this case we have that the quotient of 6 and a number, can be expressed as:

$\frac {6} {x}$

Where the variable "x" represents the incognito number.

Now we have that expression is subtracted from 100. Now, we can write the following:

$100- \frac {6} {x}$

ANswer:

Option A

4 0

3 years ago

PLEASE HELP ME WITH THIS QUESTION!! Thanks

Gre4nikov [31]

Answer:

20% probability

Step-by-step explanation:

First, we need to calculate the area of all the figures inside the rectangle.

Area of triangle= 1/2 BH

So, 3x2=(6)

Area of Square= L^2

3x3=(9)

Area of rectangle= LxW

=60.

60+9+6= 75.

75 is the total area.

Now, lets find the added area of only the triangle and square.

9+6= 15

The probability will be 15/75=

Convert into percent form

= 20%

Hope this helps and please mark me brainliest :)

7 0

2 years ago