Answers
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of
= (cos²A - sin²A)²
Substitute sin²A = 1 - cos²A
= (cos²A - (1 - cos²A) )²
= (cos²A - 1 + cos²A)²
= (2cos²A - 1 )²
= right side , then proven
Related Questions
At a coffee sale held one day in 2004 ,the average price of 50 kg bag of coffee was sh 2422.90 . What was the cost of 1 kg of coffee (Give your answer to the nearest 10 cent)
Answers
Answer: $ 48.46
Step-by-step explanation:
If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?
50/1 = 2422.90/x (cross multiplication)
48.46
what is the value of x?
Answers
[tex]\\ \sf\longmapsto x+88=138[/tex]
Take 88 to right[tex]\\ \sf\longmapsto x=138-88[/tex]
[tex]\\ \sf\longmapsto x=50°[/tex]
Option C is coreect
Can someon answer this ASAP no photo examples please!
Answers
Answer:
7 inches
Step-by-step explanation:
7 inches
bc area of a square is l^2 and square of 7 is 49.
N The distance between Tanjung Malim and Sungai Petani is x km. A car was driven from Tanjung Malim to Sungai Petani at an average speed of 90 km/h. The return journey when the car was driven at an average speed of 105 km/h took 30 minutes, Calculate the value of x CHAPTER SUMMARY
Answers
Answer:
52.5 km
Step-by-step explanation:
the info about the trip from Malim to Petani is irrelevant and only there to confuse us.
but from the return trip info we get all we need.
for x km it took then 30 minutes at an average speed of 105 km/h.
to get km out of km/h, we need to multiply the speed number by the hours traveled. that removed the "h" and leaves us with km.
n km/h × a h = a×n km
so, now, in our example we have 105 km/h, and 30 minutes = 1/2 h.
so, we have
x = 105 km/h × 1/2 h = 105/2 km = 52.5 km
please help mathematics worksheet
Answers
Answer:
(a).
[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]
(b).
[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]
(c).
[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]
(d).
[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]
(d).
Step-by-step explanation:
a)2/5a=4/a-1
By cross multiplication:
5a×4=2(a-1)
20a=2a-2
20a-2a=-2
18a=-2
a=-2/18
a=-1/9
b)7/2d-5=9/3d+4
By cross multiplication:
7(3d+4)=9(2d-5)
21d+28=18d-45
21d-18d=-45-28
3d=-73
d=-73/3
c)3/e+1 + 1/2e+1=0
3/e+1=-1/2e+1
By cross multiplication
3(2e+1)=-1(e+1)
6e+3=-e-1
6e+e=-1-3
7e=-4
e=-4/7
d)5/2f-5-4/7f+1=0
By cross multiplication
5/2f-5=4/7f+1
5(7f+1)=4(2f-5)
35f+5=8f-20
35f-8f=-20-5
27f=-25
f=-25/27
There are 1024 bytes in a kilobyte. Write an expression that describes the number of bytes in a computer chip with n kilobytes. helpppp
Answers
Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.
Using the following representation:
[tex]KB \to[/tex] Kilobyte
[tex]B \to[/tex] Bytes
1024 bytes in 1 kilobyte is represented as:
[tex]1024B = 1KB[/tex]
Let the number of bytes in n kilobytes be x.
So, we have:
[tex]x = n\ KB[/tex] and
[tex]1024B = 1KB[/tex]
Cross multiply
[tex]x \times 1KB = 1024B \times nKB[/tex]
Divide both sides by KB
[tex]x \times 1 = 1024B \times n[/tex]
[tex]x = 1024n\ B[/tex]
Remove the units for proper representation
[tex]x = 1024n[/tex]
Hence, there are 1024n bytes in n kilobytes
Read more about bytes at:
https://brainly.com/question/1832188
Answer: 1024n
Step-by-step explanation:
can someone please accurately do this. if you just put anything, i will report and get my points back
Answers
BOC= 36
COE= 54
AOF= 36
FOE= 90
BOA= 144
I made sure to double check them all for you too, so they should be right!
Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?
Answers
9) Brennen is rock climbing and is 15 feet above ground level. He descends 4 feet,
climbs back up 5 feet, and then descends 1 foot. What elevation is Brennan at after
he is finished climbing?
Answers
Answer:
15 feet above ground.
Step-by-step explanation:
15 feet - 4 feet = 11 feet
11 feet + 5 feet = 16 feet
16 feet - 1 foot = 15 feet
Seven less than the product of 8 and a number equals 4
Answers
Answer:
11/8 or 1 3/8 or 1.375
Step-by-step explanation:
From the information given by the question, we can form an equation:
Let us call the number 'n'
8 × n - 7 = 4
We then move the 7 to the other side, changing it from minus to plus:
8 × n = 4 + 7
So,
8 × n = 11
We divide both sides by 8, to leave n on one side of the equation.
n = 11/8
Therefore, n = 11/8 or 1 3/8 or 1.375
PLEASE HELP! 100 POINTS!
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 85 and your test average is 76?
Answers
[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]
[tex]\\ \sf\longmapsto 85(0.67)[/tex]
[tex]\\ \sf\longmapsto 56.95[/tex]
33% of 76[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]
[tex]\\ \sf\longmapsto 76(0.33)[/tex]
[tex]\\ \sf\longmapsto 25.08[/tex]
Add both
[tex]\\ \sf\longmapsto 56.95+25.08[/tex]
[tex]\\ \sf\longmapsto 82.03[/tex]
Using weighed averages, it is found that the final grade is was of 82.03.
-------------------
The weighed average, which represents the final grade, is given by the sum of the grades multiplied by it's weights.The higher grade has a weight of 67%.The higher grade was of 85, on homeworks.The lower grade has a weight of 33%.The lower grade was of 76, on the test average.-------------------
Using the data given in the exercise, for the grades, and the weighed average concept, the final grade is:
[tex]G = 85(0.67) + 76(0.33) = 82.03[/tex]
The final grade was of 82.03.
A similar problem is given at https://brainly.com/question/24447096
Find the sum of the first 6 terms of the following series, to the nearest integer.
75, 90, 108, ...
hey
Answers
Answer:
StepTo find the sum of the first Sn terms of a geometric sequence use the formula
Sn=a1(1−rn)1−r,r≠1,
where n is the number of terms, a1 is the first term and r-by-step explanation:
Answer: 745
Step-by-step explanation:
[tex]The\ sequence\ is\ a\ geometric\ one.u_1=75\\u_2=90\\u_3=108\\u_4=129.6\\u_5=155.52\\u_6=186.624\\\\common\ factor\ is\ 1.2=\frac{6}{5} \\\\Sum=u_1+u_2+...+u_6=\displaystyle \sum_{i=1}^{6} 75*(\frac{6}{5})^{i-1} \\=75*\dfrac{(\frac{6}{5}) ^6-1 }{\frac{6}{5}-1 }\\\\\\=75*\dfrac{1,985984}{\frac{1}{5} } \\\\=75*9,92992\\\\=744,744\\\\\approx{745}[/tex]
A soup can is in the shape of a cylinder with a radius of 1 inch and a height of 3 inches.
How much paper is used for the label of the soup can, which covers the lateral surface area of the soup can? (Round your answer to the nearest hundredth) _ in2
Answers
What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?
Answers
Answer:
y = -3/5x + 1
Step-by-step explanation:
We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.
4 = -5(-3/5) + b
4 = 3 + b
1 = b
With the information we know, we can input the values into the formula once again.
y = -3/5x + 1
Best of Luck
7x (x+y)-2 plss help
Answers
Hình thức thay thế :
7 x^2 + 7 x y - 2
7/4 (2 x + y)^2 + 1/4 (-7 y^2 - 8)
x (7 x + 7 y) - 2
Dẫn 1 phần :
d/dx(7 x (x + y) - 2) = 7 (2 x + y)
d/dy(7 x (x + y) - 2) = 7 x
Riley needs to make fruit punch for the family reunion. One batch of punch has the ingredients shown. if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
Answers
Answer:
6 cups
hopes this help you
Solve for y
(y-k)h=c
Answers
Answer:
Y = C/h+ K
Step-by-step explanation:
hope that helps>3
Petra invests $10 800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?
Answers
All of the following are equivalent, except _____.
(8 + 3)x
11x²
11x
8x + 3x
Answers
Answer:
11[tex]x^{2}[/tex]
Step-by-step explanation:
After simplifying all the other ones, they all equal 11x, except 11x^2
For the function f(x) = 3 − 8x, identify the values of f(0), f(1/2), and f(−2).
3; 7; −13
−5; −1; −13
3; −1; 19
−5; 7; 19
Answers
Answer:
The answer is 3: -1: 19
Step-by-step explanation:
I. f(x) is output x is input so
If x = 0
f(0) = 3 - 8(0)
f(0) = 3
If x = 1/2
f(1/2) = 3 - 8(1/2)
= 3 - 4
f(1/2) = -1
If x = -2
f(-2) = 3 - 8(-2)
= 3 - (-16)
= 3 + 16
f(-2) = 19
Hope that help :D
I need help on this
Answers
Answer:
ans is 0
mark me as brainliest
Seven more than three times 11
Answers
Step-by-step explanation:
So, 3 times 11 would give you 33. Then you just add the 7 and it would give you 40!
Find the value of x and y
Answers
x/4＝1/2
2x＝4
x＝2
y/3＋1＝5/3
y＋3＝5
y＝2
(x, y)＝(2, 2)
Hope my answer helped u :)
After making several scale drawings Joseph decides on the best placement for a new grillon deck He uses a scale of 2 cm for every 5 in What is the actual area of the space for Joseph's new square inches ?
Answers
Answer:
2250
Step-by-step explanation:
The actual areas is 1125 in²
A scale drawing can be described as a drawing of an original image that is reduced by a constant proportion to the original image.
scale of the drawing = original dimensions / dimensions of the scale drawing
The scale used by Joseph = 2 cm : 5 inches
This can be simplified further by dividing by 2
1 cm : 2.5 inches
Based on the image, the dimensions of the grill are 10 cm x 18cm
The length of the actual grill = 18 x 2.5 = 45 inches
The width of the actual grill = 10 x 2.5 = 25 inches
Area of a rectangle = length x width
Area of the actual space for the grill = 25 x 45 = 1125 in²
To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults
Please help this is timed
Answers
a.
5 minutes
b.
As time increases, the amount of water in the aquarium decreases.30 litres per minute
Re-write the equation 2 x minus 4 y = 8 in slope-intercept form.
a.
y = 2 x minus 2
c.
y = negative one-half x minus 2
b.
y = one-half x + 2
d.
y = one-half x minus 2
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
The answer is D
Step-by-step explanation:
Start by subtracting 2x from both sides
-4y = -2x + 8
Divide both sides by -4
y = 1/2x - 2
or
y = one-half x minus 2
How do write 200,403,926 in expanded form and in words
Answers
Answer:
two-hundred million,four-hundred and three thousand ,nine-hundred and twenty-six
Answer:
Answer below
Step-by-step explanation:
Expanded form: 200,000,000 + 400,000 + 3,000 + 900 + 20 + 6
This is when you split a number and write the value of each number
In words: two hundred million four hundred and three thousand nine hundred and twenty six.
HOPE THIS HELPED
(4x + 5y) - (2x + 5)
How to answer pls?
Answers
Step-by-step explanation:
(4x + 5y) - (2x+5)
impliment the negative
4x + 5y -2x -5
combine like terms
2x + 5y - 5
traditionally the x goes first but it could be y too such as 5y + 2y - 5
either one is the final answer
Answer:
2x + 5y - 5
Step-by-step explanation:
(4x + 5y - (2x + 5)
remove the brackets.
➡️ 4x + 5y - (2x - 5)
if there is a "-" in front of a form in brackets, change the sign of each term in the form.
➡️ 4x + 5y - 2x - 5
simplify terms by adding or subtracting.
➡️ 2x + 5y - 5
Need Help Fast For Brainlest
Answers
Answer:-11
Step-by-step explanation:
Answer:
a) -11
Step-by-step explanation:
[tex]\frac{3 + x}{4}[/tex] = [tex]\frac{x + 1}{5}[/tex]
transpose
5 (3+x) = 4 ( x+1)
15 + 5x = 4x + 4
5x - 4x = 4 - 15
x = -11
You can even cross-check
a . -11
[tex]\frac{3 + (-11)}{4}[/tex] = [tex]\frac{-11 + 1}{5}[/tex]
[tex]\frac{3 - 11}{4}[/tex] = [tex]\frac{-10}{5}[/tex]
[tex]\frac{-8}{4}[/tex] = -2
-2 = -2
CROSS-CHECKED
10. Jika a dan b penyelesaian dari persamaan
2x – 5 = 1+Vx-3 , maka a + b =
(A) 4
(B) 6
(C) 10
(D) 12
(E) 14