Answer:
= 4(1+sin2theta)²
Step-by-step explanation:
Given the equations
tantheta -cottheta =a... 1
costheta +sintheta =b .... 2
We are to find 4b^2(2-b^2)
Squaring both sides of equation 2
(costheta +sintheta)^2 = b^2
cos^2theta + 2costheta sintheta + sin^2 theta = b^2
(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2
1 + 2costheta sintheta = b^2
1 + sin2theta = b^2
substitute
4b^2(2-b^2)
= 4(1+sin2theta)(2-1+sin2theta)
4(1+sin2theta)(1+sin2theta)
= 4(1+sin2theta)²
5. A television set is sale at P13,499 in cash or on installment terms, P2,500 each
month for the next 6 months at 9% compounded monthly. If you would be the
buyer what would you prefer cash or installment?
If I were the buyer, I would prefer cash payments to paying in instalment.
In order to determine which payment method I would prefer, I would have to determine the future value of the payment in instalment terms.
The formula for calculating future value = A (B / r)
B = [(1 + r)^n] - 1
P2,500 x (1.09^6 - 1) / 0.09 = P18,808.34
Paying in instalments is more expensive.
To learn more about future value, please check: https://brainly.com/question/14640433
Please answer this question for me thank you.
Answer:
24
Step-by-step explanation:
S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.
The area of the white square is 64 square units. The diagonal of the square was extended to point A until the length of segment AB was double the length of the diagonal of the square. What is the area of the gray part?
Answer:
Area of the gray region = 64 square units
Step-by-step explanation:
Area of the white square = 64 square units
Length of a side of the given square = [tex]\sqrt{\text{Area}}[/tex]
= [tex]\sqrt{64}[/tex]
= 8 units
By Pythagoras theorem,
Length of diagonal DB = [tex]\sqrt{BC^2+CD^2}[/tex]
DB = [tex]\sqrt{8^2+8^2}[/tex]
= [tex]8\sqrt{2}[/tex]
AD = DB = [tex]8\sqrt{2}[/tex] [Given]
OD = OC = [tex]\frac{1}{2}(DB)[/tex]
= 4√2
Therefore, AO = AD + OD = 8√2 + 4√2
= 12√2
Area of ΔACD = Area of ΔAOC - Area of ΔCOD
= [tex]\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)[/tex]
= [tex]\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2][/tex]
= [tex]\frac{1}{2}[96-32][/tex]
= 32
Therefore, area of gray part = Area of ΔACD + Area of ΔAED
= 32 + 32
= 64 square units
Answer:
64 square units
A water tank in the shape of a cylinder contains 54,000 gallons of water. 60% filled If the tank is only 60% filled, how many gallons of water can the tank hold? Enter the correct answer in the box.
Answer:
90000 gallons
Step-by-step explanation:
Given
[tex]Capacity\ at\ 60\% = 540000[/tex]
Required
Determine the full capacity
Let the maximum number of gallons be m.
So, we have:
[tex]60\% * m = 54000[/tex]
Convert % to decimal
[tex]0.60 * m = 54000[/tex]
Divide both sides by 0.60
[tex]m = \frac{54000}{0.60}[/tex]
[tex]m = 90000[/tex]
Hence, the maximum number of gallons it can hold is 90000 gallons
Answer:
Step-by-step explanation: capacity is 60% = 54000
Determine what is missing = 90000
Hi! Please i need your help!. Thank you to those who help and answer correctly
Answer:
I believe there are 5
Step-by-step explanation:
if there are 4 friends and Mary then that makes 5 people in total.
Use the given information to solve for x and y
Answer:
x = 10 and y = 7
Step-by-step explanation:
Equalateral triangle means all sides are equal.
x = 10, easy
make y + 3 = 10
y = 7
Easy, no real math needed. lol
The price of a shirt has been discounted by $20. The sale price is $24.95. What percent of the original list price is the discount?
(a) Use the verbal description to write a verbal model.
o change in price = (original price)/(percent)
o change in price = (percent)(original price)
O change in price = (percent) - (original price)
o change in price = (original price) + (percent)
O change in price = (percent)/(original price)
(b) Assign labels to the quantities in the verbal model.
--Select-
= 20
---Select-
---Select-
= 44.95
(C) Use the labels to write a mathematical model.
(d) Solve the problem. (Round your answer to the nearest whole number.)
%
Answer:
this is an example
Step-by-step explanation:
There are a few different ways to approach this problem, including the following two methods.
1) Find 20% of the original price, then subtract that amount from the original price.
To find a percentage of a number, you multiply the number by the percentage. (You are finding a part of a whole.)
20% = 20/100 = 1/5 or 20% = 0.20
Original Price: $24 Find 20% of $24. (Note: "of" is taking part of a whole, so you multiply.)
0.20 x 24 = 4.80 This is the mark down, or the amount you subtract from original price.
Sale Price = Original Price - Mark Down
= 24.00 - 4.80
= 19.20
2) If you save 20%, you are still paying 80%. (100-20 = 80) Therefore the sale price is 80% of the original price.
80% = 80/100 = 4/5 or 80% = 0.80
Sale Price = 80% of Original Price
= 0.80 x 24
= 19.20
3.
What is the area of a circle with a circumference of 100.48 yd? Use 3.14 for n.
O 32.0 yd2
200.96 yd2
O 100.48 yd2
803.84 yd2
Answer:
032.0 yd2 de nada corona por favor
rearrange the following formulato make t
the subject:
b= T / 3 -5
There will be 6 people at Eli's cake party. She wants to bake enough cake so that each person she feeds eat at least 1/5 of the cake. What is the minimum number of cakes you should bake?
Answer:
2 cakes
Step-by-step explanation:
You need 2 cakes minimum for 6 people if she wants each person to get 1/5 of a cake.
PLEASE HELP IM BEGGING
This is due and I have no idea what the answer is also I need the work shown
Answer:
Options (A), (C) and (E)
Step-by-step explanation:
System of inequalities has ben given as,
y ≥ 0.75x
y ≤ 2x - 7
By satisfying with the points given in the options,
Option A. (8, 8)
y ≥ 0.75x
8 ≥ 0.75(8)
8 ≥ 6
True
y ≤ 2x - 7
8 ≤ 2(8) - 7
8 ≤ 9
True.
Therefore, (8, 8) is the solution of the given system.
Option (B) (2, 2)
y ≥ 0.75x
2 ≥ 0.75(2)
2 ≥ 1.5
True
y ≤ 2x - 7
2 ≤ 2(2) - 7
2 ≤ -3
False
Therefore, Option B is not the solution.
Option C (9, 7)
y ≥ 0.75x
7 ≥ 0.75(9)
7 ≥ 6.75
True
y ≤ 2(x) - 7
7 ≤ 2(9) - 7
7 ≤ 11
True
Therefore, Option B is the solution of the system of inequalities given.
Option D (4, 6)
y ≥ 0.75x
6 ≥ 0.75(4)
6 ≥ 3
True
y ≤ 2x - 7
6 ≤ 2(4) - 7
6 ≤ 1
False
Therefore, Option (D) is not the solution.
Option E (10, 9)
y ≥ 0.75x
9 ≥ 0.75(10)
9 ≥ 7.5
True.
y ≤ 2x - 7
9 ≤ 2(10) - 7
9 ≤ 13
True
Therefore, Option E is the solution of the given system of inequalities.
Options (A), (C) and (E) are the correct options.
Can somebody please help me!!
Answer:
C≈15.71
Step-by-step explanation: use the circumference formula
Which of the following rational functions are graphed below?
A. F(X)=1/x+4
B. F(X)=4/x
C. F(X)=1/4x
D. F(X)=1/x-4
According to the vertical asymptote of the graph, the rational function is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
A vertical asymptote of a function is a point that is outside of it's domain.
In a fraction, they are the roots of the denominator.In the graph, the vertical asymptote is at x = -4, hence [tex]x = -4 \rightarrow x + 4 = 0[/tex] is a root of the denominator, and the correct option is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
To learn more about vertical asymptotes, you can take a look at https://brainly.com/question/11598999
Answer to your question is A. F(X)=1/x+4
Let W represent the number of attempted experiments to get one experiment that is not successful.
The random variable W has a geometric distribution with mean 4 and standard deviation 3.5. Which of the following is the best interpretation of the standard deviation?
A single value randomly selected from the distribution of W will vary 4 by 3.5 attempted experiments. (collegboard)
Answer:
Values of W typically vary from 4 by about 3.5 attempted experiments, on average.
Step-by-step explanation:
Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3
what is the area of a rectangle that is 4 inches long and 1 3/4 inches wide
Answer: 7 inches
Step-by-step explanation:
4 times 1 3/4 is 7
8x = 63.2
How do I solve for x
Answer:
7.9
Step-by-step explanation:
8x=63.2
Simply divide 63.2 by 8 to get an answer of 7.9 :)
a 4kg ham cost $13/kg. Find the cost per pound . Round to the nearest hundred
Answer:
The cost per pound of the ham is $5.89.
Step-by-step explanation:
Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:
1 kg = 2.20462 pounds
2.20462 = 13
1 = X
((1 x 13) / 2.20462) = X
13 / 2.20462 = X
5.89 = X
Therefore, the cost per pound of the ham is $5.89.
What is not equal to 120 centimeters
Answer:
120mm
Step-by-step explanation:
Thank u....
............
A painter is placing a ladder to reach the third story window, which is 34 feet above the ground and
makes an angle with the ground of 70°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned ______
feet out from the building.
Answer:
34 times 70
Step-by-step explanation:
(REPOST) answer if you KNOW the answers!
Answer:
hello! :) have a good day!
1). 24
2). 27
3). 5
PICTURE 1:
The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)
[tex]13 \frac{7}{10} = 14[/tex]
AND,
(10 1/8) Rounded To The Nearest Whole Number is: (10)
[tex]10 \frac{1}{8} = 10[/tex]
So, 14 + 10 = 24
______________________________________
PICTURE 2:
The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)
[tex]8 \frac{1}{5} = 8[/tex]
AND,
(2 7/8) Rounded To The Nearest Whole Number is: (3)
[tex]2 \frac{7}{8} = 3[/tex]
So, 8 - 3 = 5
______________________________________
PICTURE 3:
The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)
[tex]58 \frac{5}{12} = 58[/tex]
AND,
(30 5/7) Rounded To The Nearest Whole Number is: (31)
[tex]30 \frac{5}{7} = 31[/tex]
So, 58 - 31 = 27
______________________________________
HERE ARE ALL THE ANSWERS:
PICTURE 1: 24
PICTURE 2: 5
PICTURE 3: 27
HOPE THIS HELPS!! :)
For what value of x is JKLM a parallelogram? Marking people as brainlist
9514 1404 393
Answer:
C 21
Step-by-step explanation:
You can approach this any of several ways. The following conditions must be true:
adjacent angles total 180°
opposite angles are congruent
Using the latter relation on the upper right and lower left angles, we have ...
4x -1 = 3x +20
x = 21 . . . . . . . . . . add 1-3x to both sides
What is the ordered pair of X' after point X (3, 4) is rotated 180°?
X (3,-4)
X(-3,-4)
X (-4,3)
X(-4,-3)
Answer:
X′ (−3, −4)
Step-by-step explanation:
Just took the test :)
que resultado da 24 entre 8
Answer:
24÷8=3
Step-by-step explanation:
Yeabsira and Jose are helping their chemistry teacher set up materials for a class lab
activity. They have 56 grams of calcium carbonate and 150 mL of acetic acid total. Each
reaction requires 7 grams of calcium carbonate and 10 ml of acetic acid. How many full
reactions can they set up?
Answer:
2
Step-by-step explanation:
What is the multiplier for a 30% decrease. *
Answer:
0.7
Step-by-step explanation:
Let the number to be decreased be x. To decrease x by 30 %, the result will be
= x - 30% * x
= x - 0.3x
= 0.7x
From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7
30 PTS
NEED ASAP!!!!!
Answer:
I think is it 27 divided by 3 or 3/27
Step-by-step explanation:
Answer:
I think it's the first
Step-by-step explanation:
Please help me solve this is due
Answer:
option D is correct answer hope it helps
Use the distributive property to rewrite the expression in factor form. 18h - 33
Answer:
you have to factor 3 out of 18h-33 so you get 3(6h-11)
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
The cost of that car in 2012 dollars is $20,755
Step-by-step explanation:
We take a look at inflation values of the dollar to solve this question.
100 dollars in 1976 are equivalent to 469.48 dollars in 2021.
100 dollars in 2012 are worth 113 dollars today.
So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So
469.48/1.13 = 415.5.
That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?
Multiplying by 4.155
5000*4.155 = 20,755
The cost of that car in 2012 dollars is $20,755