Find the solutions of each equation on the interval [0, 2π)
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
x = π
Suppose an amusement park bought a merry‐go‐round for $92,000. 42,512 people paid $2 each to ride the merry‐go‐round in its first year of operation. Did the park earn or lose money in the first year? How much?
Answer:
yes they did lose money
Step-by-step explanation:
42,512×2 = 85,024
92,000 - 85,024 = 6,976
they lost $6,976 in the first year
Evaluate
28.47% of 637.38cm
Give your answer rounded to 2 DP.
cm
Answer: 181.46 cm.
Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.
The sum of1/2 and 1/5 is between 1/2 and 1?
Answer:
the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.
if (a+b)+(a-b)i=7+2 find a and b
Answer:
a = 4.5
b = 2.5
Step-by-step explanation:
The question is incomplete.
Complete question
If (a+b)+(a-b)i=7+2i find a and b
Compare the terms on both sides
a+b = 7
a-b = 2
Add both equations
a+a = 7+2
2a = 9
a = 9/2
a = 4.5
Recall:.
a+b = 7
4.5+b = 7
b = 7-4.5
b = 2.5
first time taking a picture but some one help me, this is the last question and I want to die.
Answer:
Step-by-step explanation:
If 3x = 6, then x = 2.
a. Addition b. Subtraction c. Square root d. Division
Answer:
Its D. Division
Step-by-step explanation:
Because you have to divide 3 from x and also to 6 and you will get x equals 2.
Find the value of x. Explain your work please.
Concurrency of Angle Bisectors
Answer:
[tex]x+5=2x-1[/tex]
combine terms
subtract x from both sides and add 1 to both sides
[tex]6=x[/tex]
Answer is A
In ΔKLM, k = 13 cm, l = 17 cm and m=28 cm. Find the measure of ∠K to the nearest degree.
Answer:
18
Step-by-step explanation:
Delta math
Answer:
18
Step-by-step explanation:
delta math
HELPP!!! What is the measure of y? 4 9
Answer:
6
Step-by-step explanation:
4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]
The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.
x² = 4² + y²...(i)
z² = 9² + y²...(ii)
(4 + 9)² = x² + z²
13² = x² + z²...(iii)
Now, Subtracting eqn(ii) from eqn(iii) we have.
169 = x² + z²
(-) 81 = -(y)² + z²
-------------------------
88 = x² + y²...(iv).
Now adding eqn(i) and eqn(iv) we have,
2x² = 104.
x² = 52.
Putting this value in eqn(i) we have,
52 = 16 + y².
y² = 36.
y = 6.
learn more about Pythagoras' theorem here :
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Ill give u the brainlest if u are correct please hurry and show how u got ur answer
1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?
Group of answer choices
There are 3.7 minutes for every 1 shingle put on the roof.
For every 3 minutes, there are 11 shingles put up.
There is 1 minute for every 0.27 of a shingle.
It takes 3.7 minutes to put up 22 shingles.
2..A researcher decides to study study frogs in a local forest. Funding for his project says:
2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.
Which of the following is the correct ratio of forest to office time?
Group of answer choices
4.8
0.2083
12.5
0.08
3.Which of the following is equivalent to the ratio 5?
You don't have to show work for this problem.
Group of answer choices
1:5
5 to 1
1/5
0.2
4.Consider the number: 105,279,083,000
Which digit is in the ten billions place?
You don't have to show work for this problem.
Group of answer choices
7
5
9
0
5.Write the following number in correct scientific notation: 13.8 billion
You don't need to show work for this problem, but it's a good idea.
Group of answer choices
1.38 x 10^-10
1.38 x 10^10
13.8 x 10^9
1.38 x 10^7
Answer:
B or every 3 minutes there is 11 put up
Step-by-step explanation:
So 22 and 6 we divide them by 2 we get 11 and 3
3.7 x 2 is 22.2 so it’s just a bit over out 22
0.27 x 6 is 1.62 which is not 22
so my conclusion it’s 11 shingles put up each minute
Solve seven tenths times two fourths
Answer:
with simplify: 1 4/20.
without simplify: 24/20
Step-by-step explanation:
first we have to find the common denominator
can 4 go into 10? no.
can 4 go into 20? yes! it goes into 20, 5 times!
common denominator = 20
_/20 + _/20
what we do to the bottom we do to the top
7 x 2= 14
14/20 + _/20
2 x 5= 10
14/20 + 10/20 = 24/20
now simplify
1 4/20
hope this helped!
Find the area of a square with sides of length 1 /3 yard. pls help
Answer:
1/9 yards ^2
Step-by-step explanation:
[tex]\frac{1}{3}^2 =\\\frac{1}{3} * \frac{1}{3}=\\\frac{1}{9}[/tex]
An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
x = one angle
90 - x = complementary angle {complementary angles add up to 90�}
x = 90 - x + 86 {one angle is 86� more than its complementary angle}
x = -x + 176 {combined like terms on right}
2x = 176 {added x to each side}
x = 88 {divided each side by 2}
90 - x = 2 {substituted 88, in for x, into 90 - x}
one angle is 88�
the complementary angle is 2�
Step-by-step explanation:
x + 5 x < -2 4 – x2 -2
x2 < −6x − 26
x < -x2/6 - 13/3
= 28.16
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(b) Shari does not like her arrangement. She gets her to lay them out like a cross. What is
the perimeter of her arrangement?
Answer:
20 m
Step-by-step explanation:
4(3+2) = 20
16/20 – 1/4 =
I need help please thank you
Answer:
11 / 20
Step-by-step explanation:
16 / 20 - 1×5 / 4×5
16 / 20 - 5 / 20
16 - 5 / 20
= 11 / 20
Question 2 (1 point)
If 5 hours is 25% of the time a trip will take, how long will it take?
Answer:
20 hours
5 hours- 25%
10 hours- 50%
15 hours- 75%
20 hours- 100%
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
write these ratio in its simplest form 200:180
Answer:
10:9
Step-by-step explanation:
PLS ANSWER ASAP THIS QUESTION IS WORTH ABOUT 50 POINTS PLS ANSWER PROPERLY PLS PLS
Raul paid $48 for a sweater. He also paid a 7% sales tax. How much was the tax and what was they total cost
Answer:
Tax: $3.36
Total Cost: 51.36
Step-by-step explanation:
First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36
Plz mark as brainliest :D
If a manufacturer's list price is $800 and Bill's Outlet buys the goods for $650, what is the trade discount percent? (Round answer to
the nearest hundredth percent)
Answer:
The discount percent is 18.75%
Step-by-step explanation:
The amount of money that was lost in this discount is $150, to calculate the percent, you subtract the original price by the discounted price, and then divide the difference by the original price and multiply that by 100% to get the discount percent. [tex]\frac{150}{800}[/tex] * 100% equals 18.75%, so that would be the discount percent.
What is the standard form of 17 and 223,000
in a school 3/8 students are boys and 850 are girls.fi nd the number of boys in the school
I
Answer:
Answer: Not too Sure... Maybe 318
Mr.Jones can bench 205 pounds. The bar weighs 45 pounds, how much weight is on each side
Answer:
205-45÷2
Step-by-step explanation:
205-45=160
160÷2=80
80lb
Whats the y-intercept of the line x + 6y = -18
Answer:
18
Step-by-step explanation:
Answer:
it's −3
Step-by-step explanation:
13. Jannah purchased flowers to plant in
her garden. She planted 2 flowers in
each of her 5 flower beds plus 8 flowers
around a pond. Write an expression
that shows how many flowers Jannah
planted.
Answer:
2x5=10+8
Step-by-step explanation:
my answer need to be 20 characters long so I had to write this too
BRAINLIEST TO BEST ANSWER :D
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.
3(x - 6) + (4x + 12) - 6x
3x - 9 + 4x + 12 - 6x
(3x + 4x - 6x) + (-9 + 12)
x + 3
Question 1
Identify the line which contains the error.
A 3(x - 6) + (4x + 12) - 6x
B 3x - 9 + 4x + 12 - 6x
C (3x + 4x - 6x) + (-9 + 12)
D x + 3
Answer:
C
Step-by-step explanation:
Answer:hope this helps!!! :)
defenitly A it equals x-6 not x-3
3(x - 6) + (4x + 12) - 6x => − 6
Step-by-step explanation:
What is the probability of randomly selecting a card from a standard 52 card deck and having the card be a face card or an even numbered card?
A) 5.16
B) 16.5
C) .165
D) .615
Solve the Antiderivative.