1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
masha68 [24]
3 years ago
11

Can someone please help me with #9? (25 points)

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

Step-by-step explanation:

General Solution

Left hand side

tan(30) + 1 / tan(30

tan^2(30) + 1

============

tan 30

but tan^2(30) + 1 = sec^2(30)

sec^2(theta) / tan(30) Let theta = 30o. This will work for any angle between 0 and 90

\dfrac{sec^2(theta)}{tan(theta)} = \dfrac{sec^2(theta)}{\dfrac{sin(theta)}{cos(theta)}} = \dfrac{1}{\dfrac{cos^2(theta)*sin(theta)}{cos(theta)}}

Cancel out cos(theta) and one of cos^2(theta)

leaving your with

\dfrac{1}{sin(theta)*cos(theta)}

which is exactly what the right hand side is.

This is the way this problem should be done. If you want to show what happens with 30o then

Thirty degree angle

tan(30) = 0.5774

Left hand side

0.5774 + 1/(0.5774) = 2.3093

Right hand side

1/(sin(30)*cos(30))

1/(0.5 * 0.8660)

1/(0.4330

2.3094

Which is about as close as you will get when you round.

You might be interested in
Which expression is a way to represent the ratio of a to b?<br>obia<br>ob to a​
mash [69]

Answer:23

Step-by-step explanation:

4 0
3 years ago
What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16
Harrizon [31]

Answer:

<h3>Y=-21/2x+5</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

y₂-y₁/x₂-x₁=rise/run

<u><em>SLOPE-INTERCEPT FORM:</em></u>

y=mx+b

m represents the slope.

b represents the y-intercept.

y₂=(-16)

y₁=47

x₂=2

y₁=(-4)

Solve.

\displaystyle \mathsf{\frac{(-16)-47}{2-(-4)}=\frac{21}{6}=\frac{21}{2}=-\frac{21}{2}   }}

Furthermore, the y-intercept is 5.

y=-21/2x+5

The correct answer is y=-21/2x+5.

6 0
3 years ago
Find the value of x in each of the following
skelet666 [1.2K]
A) 2x-7=13
2x=20
x=10

B) 3x+4=25
3x=21
x=7
6 0
3 years ago
Right triangle trigonometry scavenger hunt answers?
elena-s [515]

AnsAnswerwer:

sorry i can't help without the picture of the problem

Step-by-step explanation:

8 0
2 years ago
Simplifying expressions:<br> Simplify 22-5(2x+4)
tangare [24]

22-10x-20

=2-10x

=2(1-5x)

hope this helps.

7 0
3 years ago
Read 2 more answers
Other questions:
  • A card is chosen from a well- shuffled deck of 52 cards. What is the probability that the card will be: 1. an even card OR a red
    12·2 answers
  • Write an equation to describe the relationship between the independent variable x and the dependent variable y.
    12·1 answer
  • Write down the first five terms of a sequence where the nth term is given by n2 – 5
    15·1 answer
  • Mario has $150 to spend on food for a party. He ordered pizzas that cost $8 each and bottles of soda that cost $2 each which ine
    13·1 answer
  • These two lines graphed below are not parallel. How many solution are there to the system
    9·1 answer
  • PLEASE HELP!!!
    7·2 answers
  • Find the area of the figure, in square meters, to 1 decimal place.
    12·1 answer
  • The floor tiles In the Jackson family kitchen are squares that measure 8 and 3/4 to a side. Each grid Square in the drawing meas
    10·2 answers
  • What is 14.235 Rounded to the nearest tenth ​
    12·2 answers
  • Pls help what is sideBC
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!