Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
a,c,e
Step-by-step explanation:
The football team has a total of 50 jerseys. There are 5 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
The chart shows the games won and lost for four local teams.
Team
Games Won Games Lost
3
6
6
5
Alligators
Bengals
Cougars
Dragons
7
3
3
1
Which team has the highest ratio of wins to losses?
O A. Alligators
O B. Bengals
O c. Cougars
OD. Dragons
Answer:
D
Step-by-step explanation:
3:1=3/1=3 and 3 has the highest value.
Answer:
The Dragons
Step-by-step explanation:
Alligators: 3:6=3/6=1/2
Bengals: 6:5=6/5=1 1/5
Cougars: 7:3=7/3=2 1/3
DRAGONS: 3:1=3/1=3
Therefore, the dragons is the answer because 3 is highest value:)
Please help! I’ll do anything I’ll give u brainly!
Answer:
y>0.5
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
y+x>1
-y -y
x>1-y
2x+y<3
-y -y
2x<3-y
divide by 2
x<1.5-y/2
1.5-y/2>1-y
-1.5+y -1.5+y
y>0.5
Pls helppppppppoppppppp
Answer:
H. 3[tex]\frac{3}{4}[/tex]feet
Step-by-step explanation:
Length of scale drawing = [tex]\frac{3}{12}[/tex] × 15feet
= 3[tex]\frac{3}{4}[/tex]feet
what is 4+n/3=2
the slash is a fraction
Answer:
n = -6
Step-by-step explanation:
4 + [tex]\frac{n}{3}[/tex] = 2
[tex]\frac{n}{3}[/tex] = -2
n = -6
Answer:
n = -6
Step-by-step explanation:
4 + n/3 = 2
subtract 4 from both sides
n/3 = 2 -4
n/3 = -2
multiply both sides by 3
n = 3(-2)
n = -6
HELP PLEASE whats the answer giving brainliest math btw lol
Answer:
The person above or below is correct.
Step-by-step explanation:
Can I have Brainliest?
luis wrote a story the number of pages in his story has 17 tens and 9 ones he wrote the number 791 to show the number of pages it luis correct if so explain why?
Answer:
no he is not
Step-by-step explanation:
17 tens + 9 ones
17(10) + 9(1)
170 + 9
179
he wrote 791 but the correct answer should be 179
$9: 4 visitors - $18 : 8 visitors proportion or non proportion
Answer:
That would be proportionate
Step-by-step explanation:
Just compare the two ratios
9/4
18/8
they are the same if you find the lcm of both
18/8
18/8
PLS HELP FIRST TO ANSWER GETS BRAINLEST
Al has 3 pair of shorts, 4 shirts, and 3 pair of sneakers. How many different outfits could he make?
Answer:
24
multiply them
Step-by-step explanation:
1s-1t-1n
1s-2t-1n
1s-3t-1n
1s-4t-1n
1s-1t-2n
1s-1t-3n
2s-1t-1n
2s-2t-1n
2s-3t-1n
2s-4t-1n
2s-1t-2n
2s-1t-3n
3s-1t-1n
3s-2t-1n
3s-3t-1n
3s-4t-1n
3s-1t-2n
3s-1t-3n
Solve the system using any method.
y=3.50-2
y=-1.9x+4.48
The system has no solution, ().
Answer:
Did you mean 3.50x? If so, It would be (1.2, 2.2). If you meant just 3.50, it would be (1.56, 1.5)
Hope this helps!
Express 8 as a fraction.
Answer:
8/1
Step-by-step explanation:
You just have to put a one for the denominator for any whole number you want to make a fraction.
Please mark me as brainliest.
Please help me fast!!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Divide to Find Equivalent Ratios
Given the ratio of 6 foot 72 inches, how many inches are equivalent to 3 feet
Answer:
4 are equivalent to 3 feet with 6 feet 72 inches.
Step-by-step explanation:
I'm in war and need brainiest to win plzzz you wont regret .
If $m \Diamond n = (m^2 - n) \div n$ for all real numbers $m$ and $n$, where $n \neq 0$, what is the value of $6 \Diamond 3$?
By definition of ◇, you have
6 ◇ 3 = (6² - 3)/3 = (36 - 3)/3 = 33/3 = 11
Find the slope of each line using tables . try using the slope formula
Answer:
Step-by-step explanation:
(-3, 4) (-1, 9)
(9-4)/(-1+3) = 5/2
Mrs. Milavec had to take out a loan, to pay for Oreos. She borrowed $2,000 at 8% for 2 years. What is the interest Mrs. Milavec will have to pay?
Answer:
$320.00
Step-by-step explanation:
Whitney was visiting Big Bend Ranch
State Park. At the entrance, she saw a
map of the park. The legend stated
that 1.5 inches on the map represents
20 feet in the park. On the map, how
many inches would represent 60
actual feet?
Answer:
4.5 inches on the map would represent 60 actual feet.
Step-by-step explanation:
Given that:
1.5 inches on map represents 20 feet in the park.
x be the inches on map that represents 60 feet in the park.
Ratio of distance on map to actual distance :: Ratio of distance on map to actual distance
1.5 : 20 :: x : 60
Product of mean = Product of extreme
20*x = 1.5*60
20x = 90
Dividing both sides by 20
[tex]\frac{20x}{20}=\frac{90}{20}\\x=4.5[/tex]
Hence,
4.5 inches on the map would represent 60 actual feet.
The ratio of three numbers is 4 : 5 : 3. The sum of the numbers is 54. List the numbers in ratio form.
Answer:
13.5 : 18 : 22.5.
Step-by-step explanation:
let the numbers be 3x , 4x and 5x
3x+ 4x + 5x = 54
12x = 54
x = 4.5
so the numbers are 3*4.5, 4 * 4.5 and 5 * 4.5
= 13.5, 18 and 22.5.
The list of the numbers in ratio form is 18 : 22.5 : 13.5
Given the ratio of three numbers as 4 : 5 : 3
Total ratio = 4 + 5 + 3
Total ratio = 12
If the sum of the numbers is 54.
For the ratio of 4:
= 4/12 * 54
= 1/3 * 54
= 18
For the ratio of 5:
= 5/12 * 54
= 270/12
= 22.5
For the ratio of 3:
= 3/12 * 54
= 1/4 * 54
= 13.5
Hence the list of the numbers in ratio form is 18 : 22.5 : 13.5
Learn more here: https://brainly.com/question/19793310
Write the equation of the line that passes through the points (-3,-8) and (6,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in point-slope form is: [tex]\mathbf{y+8= \frac{4}{9}(x+3)}[/tex]
Step-by-step explanation:
Write the equation of the line that passes through the points (-3,-8) and (6,-4)
The point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where m is slope and x₁ and y₁ are the points given
Finding Slope
Slope can be found of given points using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=-3, y_1=-8, x_2=6 \ and \ y_2=-4[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-4-(-8)}{6-(-3)}\\Slope=\frac{-4+8}{6+3}\\Slope=\frac{4}{9}[/tex]
So, slope m = 4/9
Using point (-3,-8) and slope m = 4/9 the equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=\frac{4}{9}(x-(-3))\\y+8= \frac{4}{9}(x+3)\\[/tex]
So, the equation in point-slope form is: [tex]\mathbf{y+8= \frac{4}{9}(x+3)}[/tex]
Solve the system by substitution
-x+y=7
x-y=-7
Answer:
Addition Method To Solve The System Xm Se The Substitution Method To Solve The System Ne Substitution Method To Solve The System 4x + Y = 7 6 Xy 17 ...
Step-by-step explanation:
My homework says, "Does the graph represent a proportional relationship? Why or why not? You MUST explain to get credit."
Answer:
No, the graph does not represent a proportional relationship. It is a straight line, but it does not intersect the point (0, 0). ... It's not proportional because the line does not cross through the origin. Therefore the ratio of x to y will be different for two different points on the line.
I really need help. Please help me!!!!
**Help Fast Please!!**
Solve by completing the Square or Using the Quadratic Formula.
X^2+7x+3=0
Show all work (All steps for solving and simplifying) for credit.
Answer:
looooooooooooooollll
Step-by-step explanation:
What is a non negative rational number
Answer:
A non negative ration number is a point between a whole number a a decimal fraction (i.e. 1.25) fractions. any part of a group number or whole. numerator. number above the line of a fraction, showing number of parts of the whole.
Step-by-step explanation:
Help me plz I need lots of help
Answer:
18x + 16
Step-by-step explanation:
(Not simplest form) 9x + 9x + 8 + 8
To get simplest form, just add the terms and integers together, which in this case would give you 18x + 16.
4) Millions of Americans work full-time at or near minimum wage. Still, many of them struggle to
afford rent, childcare, and other expenses and rely on public assistance programs such as food
stamps and Medicaid. To help these "working poor,” some people think the government should
raise the minimum wage from $7.25/hour to $15/hour. If this happened, how do you expect it
would impact workers at the restaurant?
US
DELL
Answer:
trick question
Step-by-step explanation:
39.8 divided by 4 estimate
Answer:
10
Step-by-step explanation:
40/4=10
Answer:
39.8 / 4 = 9.95
My explanation is above
Kurtz math class starts at 8:10 AM and lattice for 35 minutes after math class Kurt has recess for 15 minutes what time does recess end
Answer:
9:10AM
Step-by-step explanation:
At the garden shop, each small tree costs $125 and each large tree costs $275.
How much will 3 small trees and 1 large tree cost?
Owen and his children went into a restaurant where they sell hotdogs for $4 each and tacos for $2.50 each. Owen has $60 to spend and must buy a minimum of 18 hotdogs and tacos altogether. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Anser:
5 hotdogs and 16 tacos
Step-by-step explanation:
5 x 4 = $20
2.50 x 16 = $40
20 + 40 = $60