Let cos(2x)/cos(x)+sin(x) = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{cos2x}{cos x+sin x} =\frac{cos^2x-sin^2x}{cos x+sin x} =\frac{(cos~x+sin~x)(cos~x-sin~x)}{(cos~x+sin~x)} =cos~x-sin~x\\so~cos~x-sin~x=0\\divide ~by~cos~x\\1-tan~ x=0\\\\tan~x=1=tan ~45,tan (180+45)\\x=45^\circ,225^\circ[/tex]

Related Questions

Can you guys help i’m kinda struggling

Answers

Answer:

C.) SSA

Step-by-step explanation:

This took me awhile to figure out if the angles in between are equal

But all the sides that are congruent make up several smaller triangles that are congruent and then use CPCTC to use angles of the smaller triangles to show the angles are equal

Simplify
15 – (-3) - 4

Answers

Answer:

15 - (-3) - 4

15 + 3 - 4

18 - 4

Answer: 41

Step-by-step explanation:

Carlos picked one of four equations in the table to solve. Carlos correctly solved the equation he chose. His answer was x = 5.
Equation 1 6x + 40 = 82
Equation 2 12x- 1 = 2
Equation 3 2x + 21 = 31
Equation 4 18x+ 9 = 13
Which equation did Carlos choose to solve?

Answers

Equation 3 because 2x5 is 10 and add that to 21 is 31!

write 1 1/8 miles in 3/8 hour as a unit rate
help pleaseee

Answers

Answer:

3mi/hr , 3 miles per hour or 3mph

Step-by-step explanation:

so you want to find how manu milesin an hour.

first you need to gind how many miles in jsut 1/8 of the hour

so what we have is for 3/8 of an hour so divide what we have by 3

9/8 divided by 3 = 3/8 of a mile in 1/8 of an hour.

multiple this by 8 to get what equals in 1 hr

3/8*8 = 24/8 simplified to 3.

3 miles per hour

After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road. The group decides to divide the length of the road so that each volunteer is responsible for cleaning up equal-length sections. Find the length of a road section for each volunteer if there are 25 volunteers

Answers

Answer:

2/25 mile or 422.4 ft

Step-by-step explanation:

2 miles divided by 25 people = 2/25 mile

We can convert from miles to feet.

1 miles = 5280 ft

2/25 miles * 5280 ft / mile = 422.4 ft

Answer:

The length of a road section is 0.0.8 miles.

Step-by-step explanation:

To find the length of a road section for each volunteer divide the length of the road by the number of volunteers

[tex]\frac{2}{25} =0.08[/tex]

The length of a road section is 0.0.8 miles.

PLEASE MARK ME AS BRAINLIEST

True or false. You can use the slope to find a second point on a graph by starting at the y- intercept, and moving up (rise) & over (run) a certain amount of unit spaces.

Answers

true true true true true true true true

I do believe it’s true and it is called rise/run I only need one more brainliest award please

Solve the following equation and justify each step by stating the property used or providing an explanation for each step 6x-9=8x11

Answers

Answer:

6x9=54 11x8=88

Step-by-step explanation:

i dont get it hope it helps

Answer: x= -10

Step-by-step explanation:

Let's solve your equation step-by-step.

6x−9=8x+11

Step 1: Subtract 8x from both sides.

6x−9−8x=8x+11−8x

−2x−9=11

Step 2: Add 9 to both sides.

−2x−9+9=11+9

−2x=20

Step 3: Divide both sides by -2.

−2x /-2= 20/-2

x=−10

Answer:

x=−10

( hope this helps)

Two consecutive integers whose sums is 243

Answers

9514 1404 393

Answer:

121, 122

Step-by-step explanation:

The average of the two integers will be halfway between them. It is ...

243/2 = 121.5

The two integers are 121 and 122.

Answer:

80,81,82

As the question should be:

Three concecutive integers whose sum is 243

SOMEONE PLEASE HELP

Answers

Answer:

15c+3b=66 and 25c+5b=110

Step-by-step explanation:

In May, a national park had 50,498 visitors. In June, the same park had 82,062 visitors. How many more visitors did the park have in June than in May? Estimate or use addition to check your answer. Show your work.

Answers

Answer:

31,564

Step-by-step explanation:

82,062 - 50,498 = 31,564

Select the correct answer. Simplify the following expression. Classify the resulting polynomial

Answers

Answer: the answer is quadratic binomial :D

Step-by-step explanation:

please help for brainlyist

Answers

Answer:

For the first question, the slope is -3.

For the second question, the point is (-6,7)

Step-by-step explanation:

In point-slope form, to identify the slope, its the number that's before the parenthesis, which in this case, its -3.

In point-slope form, to identify the points, its the number that replaces y1 and x1, which in this case, its -7 and 6. However, in point-slope form, the numbers are the opposite of what they are. For an example, in this equation, -7 is negative, buts its point would actually be positive.

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50.
Let S represent the number of stacks of pancakes that Benjamin buy

Answers

Answer: 3.25+5.50S≤30 and 16 pancakes

Step-by-step explanation: did it on khan.

Please help!!.............................

Answers

Answer:

600ft

Step-by-step explanation:

State the domain and range of this function

Answers

Answer:

Domain; -5,9

Range; -3,-1

ANSWER THIS QUESTIONS FOR BRAINLIEST AND EXPLAIN HOW U GOT THE ANSWER AND IF YOUR TO LATE THEN JST TELL AND EXPLAIN IT TO GET BRAINLIEST!!!!!!!!!!

Answers

Answer:Step-by-step explanation:

im prittty sure it is 9.5 times 7 wich would be 66.5 but i could be rong dont be mad f i am

which equation represents the line that passes through points (5,4) and (-5,0)

Answers

Answer:

-5

Step-by-step explanation:

0-4

over

-5-(-5)

slope= -4/0

Comment first and I will give you the brainliest.

Answers

Answer: hello how has your day been

Step-by-step explanation:

Write an equation in slope-intercept form of the line with slope 3/4 that contains the point (-4,1)

Answers

Answer:

y = 3/4x + 4

Step-by-step explanation:

to put it into slope intercept form, you need to find the y intercept or b becasue the slope intercept form is y = mx + b where b is the y intercetpt and m is the slope. To find b you insert the points you were given so 1 = -4(3/4) + b

which simplifies to 4 = b so then you can put in your slope and y intercept into slope intercept form

-6x+4=8
what steps should be used to solve this equation?
what is the solution to the equation?

Answers

Answer:

X=2/3

Step-by-step explanation:

-6x+4=8

-6x=8-4

-6x=4

6x=-4

x=4/6

=2/3

HOPE THIS WORKS

how do you solve for Y
problem #5

Answers

9514 1404 393

Answer:

y = 26

Step-by-step explanation:

You have already correctly solved for x, so you know that ...

m∠8 = 4(17)+10 = 78

Angle 12 is an alternate interior angle with respect to angle 8, so is congruent to angle 8.

m∠12 = m∠8

3y = 78

y = 78/3 . . . . divide by the coefficient of y

y = 26

Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days. 4a.Write an equation that can be solved to find the amount of money, m, that he spent each day during the last five days. (DO NOT PUT SPACE IN YOUR ANSWER.) 100 POINTS

Answers

Answer:

20 + 5m = 140

$24 on each day of the last five days

Step-by-step explanation:

Total amount to spend in 6 days = $140

He spent:

First day = $20

Balance = Total amount to spend - Amount spent on first day

= $140 - $20

= $120

He spent the same amount of money during the next five days.

Amount spent each day in the last 5 days = Balance / 5 days

= 120 / 5

= 24

Amount spent each day in the last 5 days = $24

The equation is

20 + 5m = 140

Where,

m = amount spent in the last five days

20 + 5m = 140

5m = 140 - 20

5m = 120

m = 120 / 5

m = $24

The bar diagram represents 24 hours in one day and shows a mark at 30%.
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box.

Answers

the answer is 7.2 because 30% of 24 is 7.2

Answer:

7.2

Step-by-step explanation: because you have to divid

5/10 = % theres no number at the % cuz its blank

Answers

Answer:

5/10=50%

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

What is 88 + 99
Tyler said 88 cupcakes are with 99 pancakes
anyone p l a y r o b l o x

Answers

Answer:

187

Step-by-step explanation:

The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you have 5 packages of gum. The direct variation equation to determine how many sticks you have is ________giving you _______sticks of gum

Answers

Answer:

Each packet gives you 18 sticks of gum. If you asked how many in 5 packets it would be 90 sticks.

m+7=3+m+4
what is the value of m

Answers

Answer:

Step-by-step explanation:

bc 9+10

Can somebody help me with this question plz!

Answers

x=8.5 because angle B and angle D are congruent using alternate interior angles theorem. so you would find the measure of B by adding 50+45 to get 95, then subtract 95 from 180 to get 85 degrees for angle B. Now your equation is 10x=85 so if you divide 85/10 you get x=8.5! hope this helped :)

Answer:

x = 5°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 50° = 10x

10x = 50

x = 5°

HOPE IT HELPS!!!

Identify the scale factor

Answers

Answer:

Step-by-step explanation:

k = 4/24 = 1/6

Answer:

The scale factor is 1/6.

Step-by-step explanation:

the larger triangle is 6 times larger than the small triangle because 24 divided by 4 is 6, so therefore the scale factor of the big triangle to the small triangle is 1/6.

What theorem can be used to prove that the two triangles are congruent?
A)
HL
B)
LA
C)
LL
D)
SSS

Answers

a) HL.

explanation
- if the hypothenuse and leg and of right angle congruent to the hypothenuse and leg of another right angle, they are congruent through HL( hypothenuse-leg theorem)

Answer:

Ka3 because a is at right

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