Answer:
See below
Step-by-step explanation:
[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]
Thus proved
DJ has 16 movies, and Three-eighths of them are comedies. How many movies are comedies?
Answer:
16 * 3/8 = 6
6 movies are comedies
Answer: 6 movies are comedies.
Step-by-step explanation:
First expression three-eighths as a fraction then multiply it by the number of movies that DJ has in total.
three-eights = 3/8
3/8 * 16 = 48/8 = 6
Ratios
Express each ratio as a fraction in the simplest for
MI
1) 18 pounds to 22 pounds
Answer:
h
Step-by-step explanation:
eteujj
Answer For Brainliest
Answer:
the answer is D
Step-by-step explanation:
Solve for indicated variable
Answer:dusy
Step-by-step explanation:
Answer:
h = SA/(2πr) - r
Step-by-step explanation:
From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:
[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]
How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice)
Answer:
66.6666
Step-by-step explanation
This is the answer because I found it up here and I got the answer right.
A bacteria culture contains 1500 bacteria initially and doubles every hour. Find a function N that models the number of bacteria after t hours. Write out how many bacteria there will be for t = 0, 1, 2, etc. and think about how you are getting those values.
Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
Find the missing angle:
Answer:
40
Step-by-step explanation:
Use this picture as a reference.
So, using remote angles theorem, which states that; the angle formed from the extension of a side in a triangle is equal to the sum of the two angles which it does not make contact with, within the triangle. One can conclude that :
m< BCD = m<B + m<A
substitute:
m<BCD = 80 + 25
Simplify:
m<BCD = 105
Since it is given that m< BCE is 50, then one has to subtract m<BCE from m<BCD to get m<ECD
m<BCD - m<BCE = m<ECD
Subsitute:
105 - 50 = m<ECD
Simplify:
55 = m<ECD
Using the sum of angles in a triangle, which states that the sum of all the angles in a triangle is 180 degrees, one can say that:
m<D + m<ECD + m<E = 180
Substitute:
85 + 55 + m<E = 180
Simplify, inverse operations:
140 + m<E = 180
-40 -140
m<E = 40
solve for x, and explain how u did it :)
Answer:
71 I THINK
Step-by-step explanation:
since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer
Triangles have a total of 180°. Use the triangle below to determine the value of X.
Answer:
3x=105
x=35
Step-by-step explanation:
40+3x+x = 180 (Angle sum property)
40 +4x=180
4x = 180-40
140
x = 140/4
=35
3x = 35 x 3
105
x = 35
If it was helpful please mark me as brainliest
PLEASE HELP ME BRAINLIEST AND 20 POINTS
What is the domain of f(x) = 35x?
O all real numbers
O positive numbers and zero
O all integers
O whole numbers
Do not guess please this is important and, please explain your answer. Thank you
need help please full question in image
A.4
B.3
C.6
D.5........ please help
Answer:
The answer is
A. 4
Step-by-step explanation:
I need help with 2 questions plzzzzz
1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *
The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.
2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *
Scalene
Isosceles
Equilateral
No triangle can be drawn
Answer:
Step-by-step explanation:
1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2
3(x - 2) = - y - 4 ⇔ y = - 3x + 2
There is not significant relation between slopes such as:
- "the same" for parallel or the same lines;
- "opposite reciprocals" for perpendicular lines;
Thus, there is only answer option left: "The lines intersect at an angle other than 90°."
2). A(- 2, 3), B(- 2, - 7), C(4, - 5)
AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10
AB = 10
BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10
Triangle is Isosceles.
Write a like term to: -5y
Answer:
-7y
Step-by-step explanation:
As long as the variable and exponent is the same, they are like terms
Answer: 68y
There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.
You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.
Find the value of K. The diagram is not to scale. Explain your answer.
Answer:
639 lo hago para conseguir puntos ;V
Step-by-step explanation:
Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.
Answer:
1,800,000
Step-by-step explanation:
9146 * 174
Estimate: 9000 * 200 = 1,800,000
⚠️⚠️⚠️⚠️NEED HELP MARKING PEOPLE AS BRAINLIST!
I believe its a reflection
Sorry if im wrong
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.
Answer:
6 to 2 2 to 6
Step-by-step explanation:
The ratios for the given situation are 3/7 and 4/7.
Given that, at a dinner party, two desserts are being served.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Six of the guests choose cheesecake, and eight of the guests choose apple pie.
So, the total number of guests = 6+8
= 14
Now, the ratio who chose cheesecake = 6/14
= 3/7
The ratio who chose apple pie = 8/14
= 4/7
Therefore, the ratios for the given situation are 3/7 and 4/7.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
I need help Nkaocjsjbsiss
Answer:
46
Step-by-step explanation:
it wouldn't change if it was to be rotated
help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
Step-by-step explanation:
is x= 3 a solution to the equation 2(2x +1) + x = 8x +2-3x
I think u got right answer...
Someone please help answer completely !
Answer:
the answer is [tex]T=\frac{VP}{8}[/tex]
Step-by-step explanation:
V=[tex]\frac{8T}{P}[/tex]
you need to make T the subject of the formula:
step1: multiply P for both sides.
V=[tex]\frac{8T}{P}[/tex]
VP=8T
step2: divide by 8 for both sides.
T=[tex]\frac{VP}{8}[/tex]
the answer is [tex]T=\frac{VP}{8}[/tex]
Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals, including Cheerios, Corn Flakes, Fruit Loops, and 7others. These values are listed below. Is thestandard deviation of those values likely to be a good estimate ofthe standard deviation of the amounts of sugar in each gram ofcereal consumbed by the population of all Americans who eatcereal? Why or why not?
3, 24, 30, 47, 43, 7, 47, 13, 44, 39
Find the range, variance, standard deviation
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7
variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]
= 289.56
SD = [tex]\sqrt{variance}[/tex] = 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Does the ratio 4/7 to 8/9 has a unit rate of 9/14
Answer:
true
Step-by-step explanation:
4/7 = 8/9
= 4*9/7*8
= 36/56
= 2*2*3*3/2*2*2*7
= 9/14
proved
how many terms are there in the expression 2x - 3y + 8?
Answer:
Three. 2x, -3y, and 8.
Step-by-step explanation:
For every constant or variable, there is a term.
In this expression, there are two variables (x and y) and there is a constant (8).
Hence, there are three terms.
Hope this helped!
Please help with my homework
It's 65. Because you add the other angles and get 90+25 and get 115. 180 -115 = 65.
Answer:
c=65°
Step-by-step explanation:
180-90=90
90-25=65
hopefully this helps :)
PLEAD HELP ME FAST!!!!
Answer:
i can't really see to clear ..
Step-by-step explanation:
HELPPPPP PLEASEEEEE!!!!!!!!!
The x intercept is (9/2,0) or (4.5,0). The y intercept is (0,-1):)
13. (a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of 36%
then he found that each book was sold for the same price. Find the cost price of each book.
(b) Shastika bought two watches for R's
Answer:
Let the price of one book be Rs. x
price of next book is = 1040 - X
C.P of 1st book is Rs. x
Loss = 15%
S.P of 1st book = 85x / 100
C.P of 2nd book = 1040 - X
Profit = 36%
S.P of 2nd book = (1040 - x × 136)/100
(85x)/ 100 - (1040 - x × 136) / 100
85 x= 1040 x 136 - 136 x
85 x + 136 x= 1040 × 136
221 x = 1040 x 136
X = (1040 x 136) / 221
X = 640
So, Cost price for 1st book is 640 Rs. and 2nd book is 1040 - 640 = 400 Rs.