Answer:
See below for proof
Step-by-step explanation:
[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]
Thus, the identity is proven
Find the sine ratio for ∠D.
a. 7/25
b. 24/7
c. 25/24
d. 24/25
Answer:
sin ∠D = 24/25
Step-by-step explanation:
sin = opposite / hypotenuse
Looking at ∠D, the opposite side is 24, hypotenuse is 25
Therefore sin = 24/25
Geoffrey measures the width of his bedroom to determine the largest size bed frame he can have. The wall he plans to place the bed frame against is 13.65 feet wide. He wants there to be 2.25 feet between the wall and the bed frame on each side. What is the maximum width bed frame, in inches, that Geoffrey can put in his bedroom?
Answer:109.8 inches
Step-by-step explanation:
A varies inversely with B.
When A is 0.25, B is 4.
Find the value of B when A is 5.
Answer:80
Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80
thanks for the question.the the answer is 0.0625
Please help find Find cosR!
Step-by-step explanation:
when we look at the triangle try to reposition it at least in your mind to make R to be the center of the circle. then RP (29) is the radius of the circle and the angle indication of the angle R in this circle.
then we see QP is the sine, and RQ is the cosine of the angle R. but don't forget : all are multiplied by the radius, because the pure sin and cos functions deliver the values for the standard circle with radius 1.
so,
QR = cos(R)×RP
21 = cos(R) × 29
cos(R) = 21/29
the fourth answer is correct.
Answer:
the answer is D I took the test
one trillion one hundred eighty-six billion two hundred million in number form
Step-by-step explanation:
1,186,200,000,000 in standard form
i need help. please
Answer:
[tex]V=\pi r^2h=\pi *6^2*19[/tex] ≈ [tex]2148.8[/tex]
Let me know if you found this helpful! It means a lot!
Find the area of the figure
Answer:
C. 418 cm²
Step-by-step explanation:
Rectangle
= s × s
= 19 × 19
= 361 cm²
Triangle
= 1/2 × 6 × 19
= 57 cm²
361 + 57 = 418 cm²
So, therefore your answer is 418 cm²
80, 60, 45,...
Find the 9th term.
The ninth term of the series [tex]80,60,45.....[/tex] is [tex]50[/tex].
We need to determine the relationship between the consecutive terms of the series to evaluate the succeeding terms of the series.
How to find the terms in a series?
The difference between the first and second terms is [tex]60-80=-20[/tex].
The difference between the second and the third terms is [tex]45-60=-15[/tex]
So, the difference between the third and the fourth terms will be [tex]-10[/tex]. So, the fourth term will be [tex]45-10=35[/tex].
Similarly, the difference between the eighth and the ninth terms will be [tex]-15[/tex]. So, the ninth term will be [tex]35-(-15)=50[/tex].
Thus, the ninth term of the series is [tex]50[/tex].
Learn more about series here- https://brainly.com/question/12707471
#SPJ2
Which two expressions are equivalent to 8(6x + 9)
A. 8(6x) + 8(9)
B. 8(6x) + 9
C. 14x + 17
D. 48x + 17
E. 48x + 72
Explanation:
The distributive property allows us to go from the original expression to choice A. We multiply the outer term 8 by each term inside the parenthesis.
In general, the distributive property is a(b+c) = ab+ac. Example: 2(3+4) = 2(3)+2(4) = 6+8 = 14.
After simplifying the expression in choice A, it leads directly to choice E. This is because 8(6x) = 48x and 8(9) = 72.
Side note: A common mistake students do is to multiply the outer term by only one of the terms inside the parenthesis, while forgetting about the other term inside. Choice B shows this mistake. It's possible your teacher put choice B in there as a trap/trick answer.
The volume of Mikes rectangular lunch box is 240 cubic inches. The lunchbox is 3 inches deep and its length is 2 inches more then its width. What is the width of Mike's lunchbox
Answer:
8 inches
Step-by-step explanation:
You first divide 240 by 3 which is 80
Then you find what number is 2 less than the other number that is you multiplied together you get 80
And we know that 8 × 10 = 80
There for the :-
Width is 8 in
Length is 10 in
Hight is 3 in
The proof is if you multiply all of them you have to get 240
And if you multiply 8, 10, and 3 you get 240
How can this expression be written another way?
60x−24
Factor using the distributive property and the greatest common factor to write an equivalent expression.
Enter your answer by filling in the boxes.
60x−24= __ (__)
Answer:PLEASE BRAINLIEST
factor using 12 (gcf)
12(5x-2)
A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: No, the random condition is not met.
QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?
Answer:
Below in bold.
Step-by-step explanation:
8 18 30 44
the differences are 10 12 14 .etc
1.1.1 Next 2 terms are 44+ 16 = 60 and 60+ 18= 78.
1.1.2 8 = 1^2 + 7
18 = 2^2 + 14
30 = 3^2 + 21
44 = 4^2 + 38
So the nth term = n^2 + 7n.
1.1.3 n^2 + 7n = 330
n^2 + 7n - 330 = 0
(n + 22)(n - 15) = 0
n = -22, 15
As the term sequence must be positive the answer is 15.
what is the slope between (8, -2) and (-7, 10)?
Answer:
-1/15 is the slope
Use the y2-y1/x2-x1 formula and plug in the variables
2. the lengths of 10 pencils, in centimeters: 18, 15, 4, 9, 14, 17, 16, 6, 8, 10 median: lower quartile: upper quartile:
Answer:
Lower Quartile: 7
Median: 12
Upper Quartile: 16.5
Step-by-step explanation:
First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:
4, 6, 8, 9, 10, 14, 15, 16, 17, 18
Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.
To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.
Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.
Hope this helped!
Which equation represents a graph with a vertex of (−3,2)?
Answer:
y = 4x² + 24x + 38
Step-by-step explanation:
What are the coordinates of the vertices of the image?
Rotate shape A 90° clockwise with centre of rotation (0,0).
Will mark brainliest
Step-by-step explanation:
(2,4)===(4,-2)
(4,3)===(3,-4)
(2,3)===(3,-2)
Suppose you roll a number cube. What is the probability that you roll the number 5?
Answer:
There is 1/6 chance that you will roll a 5
Step-by-step explanation:
Hope that helps!
You draw a rectangular picture that is 8.5 inches wide. It is 3 times as long as it is wide. What
is the area of the picture?
Answer: 216.75 in^2
Step-by-step explanation: area = 8.5 x (8.5x3)
8.5 x25.5
Help I’ll give brainlessly find tqs
Your answer for TQS is 43.
89 - 46 = 43
55:26
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?
(13, –23)
(5, 7)
(18, 1)
(–6, –4)
the answer is b because you add the two numbers together x + x y + y
Answer:
Its a
Step-by-step explanation:
Edge 22
help please i don’t know how to do it
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points [tex](3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)[/tex]
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:
[tex]y-y_1 =m(x-x_1)[/tex]
Plugging the values of [tex]x_1,\: y_1\: and \: m[/tex] in the above equation we find:
[tex]y-4 =-\frac{1}{3}(x-3)[/tex]
[tex]\implies 3y-12 =-x+3[/tex]
[tex]\implies x+ 3y =12+3[/tex]
[tex]\implies \huge {\orange{\boxed{x+ 3y = 15}}}[/tex]
This is the required equation of line in the form [tex]\red{\bold{ax + by = c}} [/tex]
Distrubutive property
1. 54+27=9 (_+_)
Answer:
9(6+3) = 54+27
Step-by-step explanation:
dunno how to explain but hope the answer helps
Hey there!
54 + 27 = 81
9(6 + 3)
= 9(6) + 9(3)
= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
= 18 + 18 + 18 + 18 + 9
= 36 + 36 + 9
= 72 + 9
= 81
Thus, the equation answwr is: 81
Therefore, the overall answer is:
9(6 + 3)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Gabrielle is saving money for a vacation. Each week she save $40. Let a represent the total amount of money Gabrielle saves, and let w represent the number of weeks. How much money would she save from 1 to 7 weeks?
Step-by-step explanation:
A = 40w
To Calculate how much she would get in 7 weeks
Substitute w = 7 into A = 40w
⇒ A = 40(7)
⇒ A = 280
Gabrielle would save $280 in 7 weeks
KM and NP are parallel lines. which angles are supplementary angles?
Supplementary angles = The angles add up to 180 degrees / form a straight line.
Angle KLO and angle KLJ form a straight line -> they are supplementary angles.
What is the value of x? (Do not put in the degree symbol)
Step-by-step explanation:
x+134=180(straight angle)
x=46
What is the constant term in the expression 8xy + 9x2 y − 5x − 2?
−5
−2
8
9
Answer:
-2
Step-by-step explanation:
In the expression [tex]8xy + 9x^2y -5x -2[/tex]
[tex]x[/tex] and [tex]y[/tex] are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant termTherefore, the constant term is -2
Answer: -2 is the constant term in the expression 8xy + 9x2 y − 5x − 2
Step-by-step explanation:
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
the expression 8xy + 9x2 y − 5x − 2
now, we know that,
constant is the number with no variable attached to it.
-2 is the constant term in the expression 8xy + 9x2 y − 5x − 2.
Which is a perfect square?
O 5
O 8
O 36
044
Answer:
6×6=36
36 is the perfect square
If you invest $1600 at 5.25% for 18 months, how much simple interest is earned?
A) $10,500
B) $1,260
C) $126
D) $1,512
Answer:
the correct answer is is b
I need help ASAP...
(reward 10 points)
Answer:
it may be C im sorry if its wrong
Step-by-step explanation:
please mark me the brainiest
Answer:
The answer is a negative correlation.
Step-by-step explanation:
It is a negative correlation because when the y variable tends to decrease as the x variable increases, you can say there is a negative correlation between the variables.