Answer:
I assume that there are parentheses missing from the question and that it should be
Prove that 1 + sin 2A + cos 2A ---------------------------------------------- = cot A
1+sin2A−cos 2A
Use sin 2 A= 2 sin A cos A and
cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1
Which graph displays a directly proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line passing through the origin.
The only straight line graph passing through the origin is the top one
The graph on option A displays a proportional relationship.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line on the graph is given as:
y = mx + c ____(1)
The graph on option A.
If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.
We will select two points on the graph.
i.e
(2, 2) = (a, b) and (3.3) = (c, d)
Slope:
m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1
Let (2, 2) = (x, y) and putting in (1) we get,
2 = 1 x 2 + c
2 = 2 + c
c = 2 - 2 = 0
c = 0
The slope of the line is 1
The equation of the line is y = x
Thus,
The graph displays a proportional relationship.
Option A is the correct answer.
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20 – 3n > 7n show work
Answer:
n>5
Step-by-step explanation:
move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side
now you have
-3n>7n-20
move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have
4n>20
this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.
n/4>20/4.
you are left with n>5
Answer:
n<2
Step-by-step explanation:
Subtract 20 from both sides 20-3n-20>7n-20
Simplify -3n>7n-20
Subtract 7n from both sides -3n-7n>7n-20-7n
Simplify again -10n>-20
multiply both sides by -1 (-10n)(-1) < (-20)(-1)
Simplify 10n<20
Divide both sides by 10 Then you get your answer
PLEASE ANSWER QUICKLY
Find the value of f(-142) for the function below.
f(x) = -0.2(x + 223)
A.
251.4
B.
-186.6
C.
81
D.
-16.2
Is this function linear or nonlinear?
Answer:
nonlinear
Step-by-step explanation:
sorry if im wrong
Answer:
Linear
Have a great day! :)
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
Charles shooting basketballs during recess he made 30 baskets and miss 10 for a total of 40 shots at this rate how many baskets would he miss if he shot a total of eight times?
Please help
Answer:he would miss three times
Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.
What is the inverse of the function f(x) = 2x - 10?
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]
qual é 33⅓% de 108?
Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?
Answer:
We expect 900 students to borrow library books
Step-by-step explanation:
Proportions
If two variables are proportional, then one of them can be obtained as the other times a fixed number.
If x and y are proportional, then:
y=k.x
Where k is the constant of proportionality
The value of k can be obtained by dividing y/x.
That division, also called ratio gives us the proportion to be applied to future calculations.
In Sophia's class, 3 out of 4 students borrowed library books.
This gives us a proportion ratio of 3/4.
If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have
3 / 4 * 1200 = 900 students borrowing library books.
We expect 900 students to borrow library books
Find the x and y intercept of the following equation. 10x - 3y = 9
Answer:
x-intercept= ( 0.9, 0)
y-intercept= (0,-3)
Step-by-step explanation:
Graph out the equation and look for the x and y intercept.
2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65
Answer:
Associative Property
Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers
Can someone plz help really quickly!? Thank you! Marking brainlyest to to the first and correct answer!! Worth a lot of points to!!
Answer:
I believe its A. 7/16 inches per hour
Step-by-step explanation:
This is wrong don't put this
If I have a circle that is 12 in in diameter and it's cold and a half and then folded in half again what is the area of the resulting shape and what is how do I write out the equation
Answer:
A= πr^2/4Step-by-step explanation:
Step one:
given data
diameter of circle= 12 in
the radius is r=d/2=6in
the area of the circle is
A=πr^2
A=3.142*6^2
A=3.142*36
A=113.1in^2
If the circle is folded in half, the area will be A/2= 113.1/2= 56.55in^2
In the corresponding shape is folded again the area is A/4= 28.3in^2
The expression for the last shape is
A= πr^2/4
Please work this out or I get a detention
Answer:
a = 11 , b = 2
Step-by-step explanation:
[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73
5) y=-2
4x – 3y = 18
This
Answer:
x=3
Step-by-step explanation:
if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18
18-6=12
12/4=3
x=3 I hope you learned something
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram
Answer:
12
bcz he can't put a 0.725 fish so it will be rounded up back to 12
The greatest number of neon tetra fish he puts in the tank is 12.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
Given:
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.
The tank is 55 cm wide, 28 cm long and height is 33 cm.
And the surface of the water in the tank is 3 cm below the top of the tank.
That means,
to determine the volume,
So, the volume of cuboid
= 55 x 28 x 33
= 50820 cubic centimeters.
And we know 1000 cubic centimeters is 1 liter of water.
So, 50820 = 50.820
And divide by 4
We get the greatest number of neon tetra fish he puts in the tank.
50.820 / 4
= 12.705
≈ 12
Therefore, 12 is the required number for neon tetra fish.
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HELPPPPPPP ASAPPPPPP PLEASEEEE
70
f(-4)=5(2-3(-4)
f(-4)=10+60
f(-4)=70
Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!
Answer:
Option B is correct option.
Step-by-step explanation:
We need to identify equations written in factored form.
Factored form: A factored form of expression is an expression broken down into a product of its factors.
In the given options A, C and D we don't have product of factors.
Only option B consists of product of factors.
So, Option B is correct option.
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
Step-by-step explanation:
y=1/2-5x
Answer:
y = -1/3x - 5Step-by-step explanation:
Using points on the graph to get the equation
Slope intercept form:
y = mx + bFrom the graph, point (0, -5) we can see y-intercept is b = -5
An calculating the slope using two points (-6, -3) and (6, -7):
m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3So the line is:
y = -1/3x - 5I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?
–5
5
5.25
–5.25
Step-by-step explanation:
The decimal number 5.25 is equal to the fraction 21/4.
A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answer:
20 km/h
Step-by-step explanation:
the total time is 0.5 hours as the cyclist travels for 30 minutes
the formula for speed is distance travelled divided by time taken which gives us 20 km/hr
Hi... can you tell me is this formula is right or wrong??
Answer:
this formula is right
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answer:
y= 30x
tep-by-step explanation:
Calculate the simple interest on $700 left in account that pays 8% annual interest for 6 years.
See attachment for math work and answer.
You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60
Answer:
C
Step-by-step explanation:
22.00*0.08=1.76
22.00+1.76 = 23.76
Answer:
c
Step-by-step explanation:
22*0.08=1.76
the total would be the cost plus tax
22+1.76=23.76
hope this helps :3
Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.
Answer:
4/18
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
Work shown please!
Answer
7 = -x
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
18- 8x = 8 +3-9x
18- 8x = 11 - 9x
7- 8x = -9x
7 = -x
Answer:
x=-7
Step-by-step explanation:
step by step in picture.
A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers
On tuesday how much did they sell
Answer:
On Tuesday
591 burgers are sold.
Some are hamburgers and some are cheeseburgers.
59 fewer cheeseburgers sold than hamburgers.
Number of cheeseburgers --> x
Number of hamburgers --> y
x+y= 591 --> x = 591-y
x = y-59
so
591-y = y-59
-2y = -650
y = 325
so
x = 325-59
x =266
The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.
Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:
1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).
2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).
Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:
H + (H - 59) = 591
Now, combine like terms:
2H - 59 = 591
Next, isolate the term with H:
2H = 591 + 59
2H = 650
Now, solve for H:
H = 650 / 2
H = 325
So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:
C = H - 59
C = 325 - 59
C = 266
They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.
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Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4
Answer:
653
Step-by-step explanation: