cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
You have $5.60 to buy avocados for a guacamole recipe. Avocados cost $1.40 each.
Answer:
You could buy 4 avacodos with how much money you have :)
You can buy 4 avocados
Find the area of this trapezoid. Area = _______ square units. Round to the nearest whole number.
Answer:
119 square units
Step-by-step explanation:
To find the area of a trapezoid, use this formula: (a+b)/2 * h
Substitute 24, 10, and 7 for a, b, and h, respectively.
((24 + 10)/2) * 7
Step 1: Add 24 and 10 to get 34.
(34/2) * 7
Step 2: Divide 34 by 2 to get 17.
17 * 7
Step 3: Multiply 17 by 7 to get 119
119
The area of this trapezoid is 119 square units.
Answer:
119
Step-by-step explanation:
I took the quiz
I REALLY NEED HELP I WILL MARK BRAINLIEST
Im so sorry i don't know.
()) There are two cubes. The first cube has a volume of 1,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube? D) cubic units Submit
Answer:
125 units^3
Step-by-step explanation:
Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.
You then divide the sides by 2 because the question says the second cubes sides are half the size
5*5*5 = 125
The volume of the second cube is 125 units³.
What is volume?In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.
We need to find the volume of the second cube,
So, let the side of the first cube be x,
We know that the volume of a cube = side³
Therefore,
x³ = 1000
x = ∛1000
x = 10 units
Therefore, the second cube will have a side of 10/2 = 5 units
Volume of second cube = 5³ = 125 units³.
Hence the volume of the second cube is 125 units³.
Learn more about volume click;
https://brainly.com/question/28058531
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Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.
Answer:
7.25h=348
Step-by-step explanation:
need help pls , 20 points
no links or else I will report
Answer:
x=72
Step-by-step explanation:
x=3/4x+18
4(x=3/4+18)
4x=3x+72
x=72
Answer:
18² + (3/4x)² = x²18² = x² - 9/16x²18² = 7/16x²x² = 16*18²/7x = 72/√7x ≈ 54.42HELP ASAP PLSS (NO LINKS OR ILL REPORT)
Answer:
C is correct.
Step-by-step explanation:
I took this test.
Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]
Answer:
1)
[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]
2)
[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]
3)
[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]
4)
[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]
What does the following equal? Please help me!
Answer:
the first answer
Step-by-step explanation:
1/8 of the absolute value is 1/8 positive
anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.
Answer:
-1/8
Step-by-step explanation:
Please help almost finisHHHH
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
Plz help me i will give barinless im not lying plz help
Answer:
what do you need help with?
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
7 x 3/4 = 21/4 = 5 - 1/4 ft
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
pls help
Answer:
the slope is 3 because everytime the line goes up 3 it moves to the right 1
Math question Pls help
Answer:
B. Strong negative association
Step-by-step explanation:
It's a negative because the slope is going from left to right downwards
Stacy saved some dimes. Leo saved 3 times as many dimes as Stacy. If Leo saved a total of 72 dimes, how many dimes did Stacy save? Let n represent the number of dimes that Stacy saved.
Answer:
Leo: 3n Dimes
Leo: 72 Dimes
Stacy: 72/3 Dimes
Stacy: 24 Dimes
What is the value of 3 2/5 ÷ 17/10
A. 1/2
B. 1 9/17
C. 2
D. 5
E. 5 39/50
Answer:
c) 2
Step-by-step explanation:
hope it helps you
pls mark as brainliest...
The answer is 2 or C
Please Please please please help help help help!!!!!!!!!!!!!!!!!!!
Find the product of 3 times the difference of 30 and 25 and 4 times the sum of12 and 15.
And please don't send the links and all please just answer step by step please!!.
Answer:
Step-by-step explanation:
30 30 x 3 = 90
x 3
90
first multiply 4 x 5 = 20 bring down 0 then multiply 4 x 2 = 8 then add+2= 10
25 x 4 = 100
12 x 15 = 180
find the distance between each pair of points (-3,4) (2,6)
Answer:
≈ 5.4 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 6)
d = [tex]\sqrt{(2+3)^2+(6-4)^2}[/tex]
= [tex]\sqrt{5^2+2^2}[/tex]
= [tex]\sqrt{25+4}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.4 ( to 1 dec. place )
can someone help please??
Answer:
iput the equation into my calculator and i graphed it and found the roost
Step-by-step explanation:
the answer is d
when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?
Answer:
32 km/ hr
Step-by-step explanation:
Given that :
Speed of car = 24km/ hr
Time taken =. 80 minutes = 80 / 60 = 1.33333 hours
The distance traveled :
Speed * time
24 km/hr * 1.333333 = 32 km
Speed required to complete 32 km. Journey in 60 minutes = 1 hour
Speed = distance / time
Speed = 32 km / 1 hour
Speed = 32 km/ hr
Kirsten caught 9 fish on Saturday and an additional 5 fish on Sunday. How many fish did she catch in all?
Answer:
14 fish
Step-by-step explanation:
Ms. O'Conner took a poll of 80 students to find out how they get to school. How many more students get to school on a bus than in a car?
Answer:
I need the dull question
Step-by-step explanation:
Given the data set below, the median of the data set is . 11, 17, 6, 12, 3
Shellac O'Lean, a freshman on your school's football team, is 6 ft tall and weighs 140 lb. Since he would rather play basketball, he plans to grow to 7 ft 1 in., the same height as Shaquille O'Neal, his idol. If Shellac scales geometrically as he grows, how much can he expect to weigh? (O'Neal weighs 325 lb. Round your answer to the nearest whole number.)
Answer:
At 7 ft. 1 in., Shellac can expect to weigh approximately 165 lb
Step-by-step explanation:
The relationship between the heights and the weights of the freshman are presented as follows;
The weight of the freshman at 6 ft. = 140 lb
The height to which he plans to grow = 7 ft. 1 in.
Given that Shellac scales geometrically as he grows, then the height to weight ratio is constant
Let 'y' represent Shellac's weight when his height is 75 ft. 1 in., we have;
[tex]\dfrac{6 \, ft.}{140 \ lb} = \dfrac{7 \, ft. \ 1 \, in. }{y}[/tex]
6 ft. = 72 in.
7 ft. 1 in. = 85 in.
Therefore, we get;
[tex]\dfrac{72 \ in.}{140 \ lb} = \dfrac{85 \ in. }{y}[/tex]
[tex]y ={85 \ in. }\times \dfrac{140 \, lb}{72 \ in.} = 165.2 \overline 7 \, lbs[/tex]
Shellac's expected weight given to the nearest whole number when his height is 7 ft. 1 in. ≈ 165 lb.
A company created a census to see the impact of pollution in its state. The company attempted to interview every resident of the state. The people it interviewed are an example of a _____.
A.) survey
B.) population
C.) sample
D.) census
how do this math problem?
of shaded region shapes
question 2)
find the area of each shape.
All measurements are in centimetres.
and please explain me to how to do this cuz I don't understand my teacher in maths
Answer:
photo isn't clear, first of all u have to click clear picture
What is the Mean, Median, Mode, and Range for number 3
Please help
Answer:
Mean: 49
Median: 41
Mode: 45
Range: 70
Step-by-step explanation:
To find the mean: add up all the numbers, then divide by how many numbers there are.
To find the median:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode: The mode of a data set is the number that occurs most frequently in the set.
To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
need help fast with math problem!!!!
Find the correct value of 2/3 plus 1/2 plus 5/12
Answer:
2/3 + 1/2 = 1.16666666667
therefore the answer is 1.58333333333
6. You are planning a trip. You can go to Phoenix, Las Vegas, San Diego, or Los Angeles. You can
fly or drive. You can stay 3, 4, or 5 days. How many different trip possibilities are there?
How many different trip possibilities are there?
Answer:
There are 24 different trip possibilities.
Step-by-step explanation:
Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.
The first event is the selection of the location.
Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)
The second event is the selection of how you go there.
The options are flying or driving (2 options)
The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).
The total number of different trip possibilities is equal to the product between the number of options for each event.
P = 4*2*3 = 24
There are 24 different trip possibilities.
Mrquis ran 1/2 mile, Chad ran 7/8 mile, Jose ran 3/5 mile, and stephen ran 3/4 mile. Order them greatest to least
Answer: Chad, Stephen, Jose and Mrquis
Step-by-step explanation:
We can change them to Percentage to make their ordering easier.
Mrquis ran 1/2 mile = 1/2 × 100 = 50%
Chad ran 7/8 mile = 7/8 × 100 = 87.5%
Jose ran 3/5 mile = 3/5 × 100 = 60%
Stephen ran 3/4 mile = 3/4 × 100 = 75%
Therefore, the ordering from the greatest to the least will be:
Chad, Stephen, Jose and Mrquis