All categories

4 years ago

Analyze the diagram below and complete the instructions that follow?

Mathematics

1 answer:

yan [13]4 years ago

6 0

Answer:

The exact value of tan(M) is 5/12 ⇒ answer (C)

Step-by-step explanation:

* Lets revise the trigonometry functions

- In ΔABC

# m∠B = 90°

# Length of AB = a , length of BC = b and length of AC = c

# The trigonometry functions of angle C are

- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse

- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse

- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C

* Now lets solve the problem

- In ΔONM

∵ m∠N = 90°

∵ MN = 12

∵ ON = 5

∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)

∴ tan(M) = 5/12

* The exact value of tan(M) is 5/12

You might be interested in

What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ? A. B.

zmey [24]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

1/5 of what equals 4?

MaRussiya [10]

Answer:

Step-by-step explanation:

20/5 = 4

hope that helps:)

5 0

3 years ago

Read 2 more answers

What is 125x9 64y12 written as a sum of cubes? (25x3)3 (4y4)3 (5x3)3 (16y4)3 (25x3)3 (8y4)3 (5x3)3 (4y4)3.

babunello [35]

The factorization of $\rm 125x^9+64$ is $\rm (5x^3+4)(25x^6-20x^3+16)$ .

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; $\rm 125x^9+64$

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

$\rm 125x^9+64\\\\125x^9+100x^6+80x^3-100x^6-80x^3+56\\\\5x^3(25x^6-20x^3+16)+4(25x^6-20x^3+16)\\\\(5x^3+4)(25x^6-20x^3+16)$

Hence, the factorization of $\rm 125x^9+64$ is $\rm (5x^3+4)(25x^6-20x^3+16)$ .

To know more about factorization click the link given below.

brainly.com/question/17595467

3 0

3 years ago

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

storchak [24]

Answer:

Each Person:

-In tips: $2

-Food Bill: $7.50

Step-by-step explanation:

Let's find the tip amount for each person. $16 for the whole group. Each person will give in $2 for the tips, for a total of $16 in tips.

Now that tips are done, we must subtract the amount of tips from the food bill, to see how much each person pays. $76 - $16 = $60.

Divide 60 by 8 to get.. 60/8= 7.5.

With 7.5 as an answer, we can conclude that each person paid $7.50 for the food bill.

I see you need to select solutions, may I see them to help you out? The description is pretty vague..

5 0

2 years ago

A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?

ANEK [815]

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

$given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \: \frac{ - 3}{4} \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \: \: \: y1 = - 6 \: \: and \: m = \frac{ - 3}{4} \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) = \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4) \\ 4(y + 6) = - 3(x - 4) \\ 4y + 24 = - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

8 0

3 years ago