The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The equation is given below.
cos (α - β) × cos (α + β) = cos² α - cos² β
Then show whether the equation is correct or incorrect.
Taking the left-hand side, then we have
[tex]\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta[/tex]
The left-hand side does not equal to the right-hand side.
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PLEASE HELP!!
What was the average number of locations chosen per potential customer?
Answer: D.2
Step-by-step explanation:
First,
Add all the number together.
32+24+16+8
=80
Next,
80 divided by amount of customers.
80 / 40 = 2
Therefore the average is 2.
⚠ In a bag, there are 5 yellow marbles and 3 green marbles.
A marble is randomly selected from the bag and it turns out to be yellow.
The marble is not put back into the bag. Which of the following events are affected by this? Select all correct options.
-The chance of selecting a blue marble next time.
-The chance of selecting a yellow marble next time.
-The chance of selecting a green marble next time.
-The chance of selecting a black marble next time.
[tex] \textbf{Can someone help me with this question ?} [/tex]
[tex] \texttt{Note : you have to use vector method,} [/tex] [tex] \texttt{no use determinants, or Area of Triangle = 0} [/tex]
[tex] \textsf{If points with given position vectors are} [/tex] [tex] \textsf{collinear then find the value of " a "} [/tex]
[tex] \qquad \sf{\vec{A} = 60 \hat{i} + 3\hat{j} } [/tex]
[tex] \qquad \sf{\vec{B} = 40 \hat{i} - 8\hat{j} } [/tex]
[tex] \qquad \sf{\vec{C} = a\hat{i} - 52\hat{j} } [/tex]
Answer:
here we go dude sorry for dirty handwriting
HELP ME OUT PLS MY WIFI ISN'T STRONG!! AND I NEED TO FINISH MY TEST IN 1 MIN!!!
Which comparison is not correct?
6 > 5
-7 > -9
-4 < -12
-3 < 4
Answer:
-4<-12
Step-by-step explanation:
The graph below depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
What are the zeros of this function?
Answer:
B
Step-by-step explanation:
On the graph, you can see that when y=0, x is on 5 and 6.
Can someone help me with this question
Step-by-step explanation:
1/5 + 3/5 = 3/5 + 1/5 = 4/5
I am not sure what your teacher wants to see on the right side of the second equation.
it would be the whole equation again :
4/5 = 1/5 + 3/5 = 3/5 + 1/5
An Electric company attaches support cables to a light pole by 24 feet from the ground and 7 feet from the base of the pole.
How long is each support cable in feet?
Answer:
25
Explanation:
As can be seen from the figure:
The length of each support cable is:
√ 24² + 7² (pythagorean
theorem/
√576 +49
= √625
= √25²
25 feet
so the answer is 25
A bag contains 7 white marbles, 3 blue marbles, and 15 red marbles (and no other marbles). One marble is chosen without looking
What is P(red)?
Enter your answer, as a fraction in simplest form, in the box
Answer:
The probability of being red is 15 to 15 + 7 + 3
15 3
---- = -----
25 5
Grace, Ted, and Keisha are siblings. Each took a turn using the computer today. The matrix equation that represents this situation is shown, where g is the number of minutes Grace was on the computer, t is the number of minutes Ted was on the computer, and k is the number of minutes Keisha was on the computer.
Which statement is true?
A.
Keisha spent the least amount of time on the computer.
B.
Ted spent the least amount of time on the computer.
C.
All three spent the same amount of time on the computer.
D.
Grace spent the least amount of time on the computer.
Answer:
C. Ted spent the least amount of time on the computer.
Step-by-step explanation:
plato
Answer:
Ted spent the least amount of time on the computer.
Step-by-step explanation:
Correct on plato.
Tim took a total of 14 quizzes over the course of 7 weeks. How many weeks of school will Tim have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
8
Step-by-step explanation:
divide 14 by 7 to get 2. IT is 2 tests a week so multipy 7 by 2 to get 14 then just add 2 to get 16. you added two meaning you added a week because each week is two tests so the answer will be 8 weeks.
Tim have to attend a total of 8 weeks this quarter before he will have taken a total of 16 quizzes.
What is unitary mehtod?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how many weeks of school will Tim have to attend?According to the problem,
Tim took 14 quizzes over the course of 7 weeks.
∴ Tim can take 1 quiz over the course of [tex]\frac{7}{14}[/tex] weeks
Tim can take 16 quizzes over the course of [tex](\frac{7}{14})[/tex] x 16 weeks = 8 weeks
∴ Tim can take 16 quizzes over the course of 8 weeks.
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Tina used 2 1/2 gallons of paint to cover 1/8 of her wall. How much paint is needed to cover her entire wall?
On a coordinate plane, square p q r s is shown. point p is at (4, 2), point q is at (8, 5), point r is at (5, 9), and point s is at (1, 6). which statement proves that the diagonals of square pqrs are perpendicular bisectors of each other? the length of sp, pq, rq, and sr are each 5. the slope of sp and rq is negative four-thirds and the slope of sr and pq is three-fourths. the length of sq and rp are both startroot 50 endroot. the midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of rp is 7, and the slope of sq is negative one-sevenths.
A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.
How to calculate the slope of a line?Mathematically, the slope of a line is given by the following formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
For line RP, we have:
[tex]Slope = \frac{9\;-\;2}{5\;-\;4}\\\\Slope = \frac{7}{1}[/tex]
Slope RP = 7.
For line SQ, we have:
[tex]Slope = \frac{6\;-\;5}{1\;-\;8}\\\\Slope = \frac{1}{-7}[/tex]
Slope SQ = negative one-sevenths.
For the midpoint, we have:
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.
Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.
In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.
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Answer:
D. The midpoint of both diagonals is (4 1/2, 5 1/2) , the slope of RP is 7, and the slope of SQ is - 1/7.
Step-by-step explanation: I just did it on edge 2023. Hope this helps!
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Answer:
15 inches
Step-by-step explanation:
The formula for the area of the area of a triangle is bxh/2.
The base is 6 inches, and the height is 5 inches. 6x5=30. 30/2=15.
Would appreciate if you marked my answer as brainliest, have a good day :)
Andrew chooses three different numbers.
- Exactly one of the numbers is a square number.
The other two numbers are factors of 18.
The sum of the three numbers is 36.
d the three numbers chosen by Andrew.
ite the numbers in ascending order.
[tex]\huge\color{red}\underline \colorbox{yellow} {\color{gold}{scroll}}[/tex][tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
Answer:
2, 16, 18.
Step-by-step explanation:
The first number might be 4 , 9, 16 or 25.
The other 2 numbers are factors of 18 so could be:
2, 3, 6, 9 or 18.
If square no. = 4 then sum of other 2 = 32 but no 2 numbers will fit the required result.
If it is 9, the sum = 27 then 9 and 18 will fit but that makes 2 square numbers so this is not the answer.
If square no. = 16, the sum of other 2 is 20. 2 and 18 will fit this.
A window is in the shape of a kite. caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. what are the dimensions of the layer of film he will apply? a kite is broken into 2 triangles. each triangle has a base of 18 inches and a height of 7 inches. 9 inches in width and 7 inches in height 9 inches in width and 14 inches in height 18 inches in width and 7 inches in height 18 inches in width and 14 inches in height
The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.
What are the dimensions of the layer of film?A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.
The dimensions of the upper part:
Width = 18 inches Length = 14 inches / 2 = 7 inchesPlease find attached the complete question. To learn more about kites, please check: https://brainly.com/question/2918354
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Armin needs a new suit. He
has a 25% off coupon that
will be applied before a tax
of 7.5% is applied to his
total. How much will he end
up paying for a $325 suit?
Round to the nearest
hundredth.
Answer:
262.03
Step-by-step explanation:
take 325 multiply by 25% will give you 81.25 deduct
325 by 81.25
multiply 243.75 by 7.5% which gives 18.28 add that to
243.75 giving you 262.03 he paid for
I'm kinda terrible at math and I'm running out of time to complete this you might think its easy but its no for me.
Answer:
my best guess is 17.45
Step-by-step explanation:
Which equation represents the graphed function?
A : y = -2x + 3
B : y = 2x + 3
C : y = 1/2x + 3
D : y = -1/2x + 3
Answer:
y = - 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 2x + 3 ← equation of line
Given that y = 6 + 4x-x^2express y in the form a.-(x + b)^2, where a and b are
integers. Hence or otherwise , write the coordinates of the turning point of y
Answer:
6 + 4x − x² = 10 − (x − 2)²
the turning point : (2 , 10)
Step-by-step explanation:
6 + 4x − x² = − x² + 4x + 6
= − (x² − 4x) + 6
= − (x² − 4x + 4 − 4) + 6
= − [(x − 2)² − 4] + 6
= − (x − 2)² + 4 + 6
= − (x − 2)² + 10
= 10 − (x − 2)²
Then the turning point of y is (2 , 10)
IMAGE BELOW I WILL GIVE BRANLIEST
Answer:
5.831
Step-by-step explanation:
formula: a squared + b squared= c squared
3 squared= 9
5 squared = 25
sqrt rt of total is 5.831
After reducing the regular selling price by 1/8, sepaba inc. sold a stereo set for $300. what was the regular selling price?
Answer:
about 342.86
Step-by-step explanation:
300 is only 7/8 the value of the original so you know
7/8x = 300
solve for x
you get 342.86
HELP I NEED HELP ASAP
Which of the following equations are linear functions?
I. 3x + 4y = -6
II. y = -4x + 7
III. 5x2 + 3y = 12
Answer:
1 and 2 are linear functions.
Step-by-step explanation:
roll your pair of dice 30 times, each time recording a success if one (or both) of the dice show a multiple of 3, that is, 3 or 6, and a failure if the dice do not show a multiple of 3. enter # of successes/# of failures.
Answer:
90
Step-by-step explanation:
multiples of 3 = 1, 3.
to it's given sequence or multiple the multiplication of 30 dice multiplied by it's multiple gives us 90
Every day Jack runs 3 km a) Find out how far he runs in 4 weeks
Answer:
84 km
Step-by-step explanation:
you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km
The owners of a manufacturing company conducted a survey to determine the mean income of the customers who prefer the company’s brand of clothing. From a random sample of 100 customers, it was determined that their mean income was $47,600. Which conclusion can be made based on this information?
The total population mean must be much greater than $47,600 because there are more people in the total population.
The total population mean cannot be determined by such a small random sample.
The total population mean must be close to $47,600 based on statistical inference.
The total population mean must be much less than $47,600 because, out of a sample of 100, a few people with a very high mean income would skew the data.
The total population mean must be close to $47,600 based on statistical inference.
The entire population mean must be close to $47,600. Then the correct option is C.
What is Mean?The mean is the simple definition of the average of a bunch of numbers. In statistics, one of the markers of central tendency is the mean.
The average is referred to as the arithmetic mean.
It's the ratio of the number of real observations to the total number of observations.
The owners of a manufacturing company conducted a survey to determine the mean income of the customers who prefer the company’s brand of clothing.
From a random sample of 100 customers, it was determined that their mean income was $47,600.
Based on statistical analysis, the entire population mean must be close to $47,600.
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Mr. White spent 20% of his savings on a wallet and had $36 left.
He then spent 30% of the remaining amount of money on a tie.
Answer:
Mr. white started with 45 dollars, he spent 9 dollars on a wallet and was left with 36, he then spent 15 dollars on a tie and was left with 21 dollars.
Step-by-step explanation:
45 * 0.8 = 36
he started with 45 dollars
30 * 0.7 = 21, in the end he was left with 21 dollars
Help me pls with. Math it's very important
Answer:
L = (x), W = (5x−4), H = (2x+1)
Step-by-step explanation:
Factor.
10x^3-3x^2-4x
(x)(5x−4)(2x+1)
Write an expression for each phrase. 1. Jose had 3 more hits today than in yesterday’s game.
Let yesterday he had h hits
Today he has 3 more hits
So
The expression is
3+hor
h+3The volume of the following figure = ___________ cm3.
a rectangular prism with base of triangle of 8 cm, height of triangle of 3 cm, and length of prism of 12 cm.
144
288
216
72
Answer:
288
Step-by-step explanation:
12 x 8 x 3 = 288
Answer:
144
Step-by-step explanation:
1/2 x (8) x (3) = 12
(12) x (12) = 144
