Answer:
[tex]\frac{1}{4}[/tex] ([tex]\sqrt{6}[/tex] - [tex]\sqrt{2}[/tex] )
Step-by-step explanation:
Using the addition formula for sine
sin(A + B) = sinAcosB + cosAsinB
Given
sin165° = sin(120 + 45)° , then
sin(120 + 45)°
= sin120°cos45° + cos120°sin45°
= sin60°cos45° - cos60°sin45°
= [tex]\frac{\sqrt{3} }{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] - [tex]\frac{1}{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex]
= [tex]\frac{\sqrt{6} }{4}[/tex] - [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{1}{4}[/tex] ( [tex]\sqrt{6}[/tex] - [tex]\sqrt{2}[/tex] )
Find the value of x.
Answer:
x = 62°
Step-by-step explanation:
the top-most angle in the top isosceles triangle must be 73° also
the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°
the left portion of the right angle must be 56°
you can find by using this equation: x + x + 56 = 180
2x = 124
x = 62
What is the median of the data set?
x
x x x x
x x x x x x x
↔0↔1↔2↔3↔4↔5↔6↔7↔8↔9↔10↔11↔12↔13↔14
Answer:aw ehtI Belive its 7 i could be wrong though
Step-by-step explanation:
the way you would solve this is u would arange the numbers like small to greatest then count how many there are and there happends to be 15 then you find the middle.
HOPE THIS HELPS
A farmer sells apple cider in 2 quart bottles. How many bottles will he need to hold 70 gallons of cider
60 POINTS! PLEASE ANSWER, NO SPAM
Answer:
1. D= 46 degrees
2. X= 50 degrees
3. X= 180-118 = 62 degrees
4. X = 90-75 = 15 degrees.
Step-by-step explanation:
Answer:
Going by the order from the first row left to right and then second row left to right
1) D=46
2) x=62
3) x=50
4) x=15
5) b=40
Step-by-step explanation:
So for the first column for the first question its a complementary angle which means 2 or more angles added up to from a 90 degrees angle. We got 44 degrees already and an unknown angle which will lead to 90-44= 46 and that 46 degrees is your answer. D will be equal to 46.
For the second question on the first column, you have 2 angles forming a straight line. This is a s upplementary angle which means 2 or more angles added up to from 180 degrees. You have 1 angle already which is 118 and to find the other angle, 180-118 which will be 62. X will equal to 62
For the thrid question which is the first question on the SECOND column, you have another supplementary angle. You have 130 and 180-130=50 and X will equal to 50.
For the 4th question you have a complementary and one angle is 75. You do 90-75 and get 15. X will equal to 15.
The last question which is the huge rectangle on the right, you have 2 intersecting lines. We know one side is 40. Well the only thing that makes sense here is B=40 since its vertical to the one angle given. Vertical angles are equal so therfore the answer is b=40
Which of these systems of linear equations has no solution?
A
y = 3x + 8
y = 3x + 16
B
y = 3x + 16
y = 6x + 16
C
y = 3x + 8
y = 6x + 16
D
y = 3x + 8
y = 8x + 16
hurry please
Answer:
A is correct
Step-by-step explanation:
A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.
B does have a solution because of different slopes
C does have a solution because of different slopes
D does have a solution because of different slopes
what is the center of the circle: (x+3)^2+y^2=16 ?
Answer:
the answer is (-3,0) or 4
Step-by-step explanation:
Help me! :) 12 points!
Answer:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Step-by-step explanation:
Vertical angles are diagonally across for each other and equal the same angle. You would get a better explanation if you looked up pictures.
Linear angles are two angles on a straight line that are divided by another line. Again, you would get a better explanation by looking at a visual
Congruent angles are equal to each other, and because there are no angle measures here, you would go with a vertical angle pair.
Answer:
Step-by-step explanation:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Indicate (✓/×)
1)Every whole number is a rational number.
2)There are some fraction that are not rational number.
3)every negative rational number lies to the right of zero on the number line.
4) zero is not a rational number.
5)every interger is a rational number.
Step-by-step explanation:
1)Every whole number is a rational number.√
2)There are some fraction that are not rational number.√
3)every negative rational number lies to the right of zero on the number line.×
4) zero is not a rational number.×
5)every interger is a rational number.√
What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
common ratio=t2/t1
=6/(-2)
=-3
help meeeeeeeeeeeeeeeeeeee
Answer:
520.14%Step-by-step explanation:
260 * .80 = 208
260-208 = 52
A student got 85% on a math test with 40 problems. How many did the student get correct?
Answer:
The student got 34 of the 40 questions correct.
Step-by-step explanation:
85% of 40 is 34.
Hope this helps! :)
I would appreciate brainliest, if not that's okay!
Answer:
47 correct answers
Step-by-step explanation:
Write a quadratic function whose zeros are 12 and 2 .
Answer:
The quadratic function is: [tex](x-2)(x-12)=0[/tex] and can be written as: [tex]x^2-14x+24=0[/tex]
Step-by-step explanation:
A quadratic function can typically be written in multiple forms, among which includes: (x-a)*(x-b)=0 where a, b can be any number
This quadratic function is solved for a and b, which represents the zeroes (or can be called roots) of the equation.
Given that the zeroes are already given, all that's need to write the quadratic function is to substitute a and b with the given zeroes:
Note: It doesn't matter which zeroes are substituted for a and b
(x-a)*(x-b)=0
(x-2)*(x-12)=0
Now, we can leave it in this form or expand the equation (often called the FOIL method):
(x-2)*(x-12)=0 Multiply each term with the other terms
[tex]x^2-2x-12x+24=0[/tex] Simplify by combining like terms
[tex]x^2-14x+24=0[/tex]
Thus, the quadratic function for zeroes 12 and 2 is: [tex]x^2-14x+24=0[/tex]
The tables show some values that represent a system of linear equations. What is the solution to this system?
Answer:
(4, 4)
Step-by-step explanation:
Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54x+64 49x + 59
Answer:
x=-1
Step-by-step explanation:
54x+64=49x+59
subtract 64
54x=49x-5
subtract 49x
5x=-5
divide by 5
x=-1
Which Of The Following Is The Value Of The Expression 3y +5 (x-8) when x = 11 and y = -2
1. 9
2. -12
3. -3
4. 15
Answer:
4. 15 im not sure tho :/
Step-by-step explanation:
State the domain and range of the relation graphed below.
Domain : 0 <= x <= 4
Range : -2 <= y <= 2
PLSSS I NEED HELP i will give you 50 points
Answer:
131.2
Step-by-step explanation:
x/55=31/14
x=31/13*55
x=131.153846154
Tom and Jeremy have a circular pool with a diameter of 12 feet.What is the circumference of the pool?
Answer:
37.68
Step-by-step explanation:
Circumference = Diameter x pi
Diameter = 12 feet
12 x 3.14 = 37.68
The circumference of the pool is 37.68 feet.
Sometimes Markuo makes sliders. Each slider has 1/2 as much meat as a regular hamburger. How many sliders can Markuo make with the 1.68 pounds?
Answer:
jingle bell Rock Moana lolil
4x − 5 + x = 3 + 2x + 4 what is the value of x?
Answer:
x=4
Step-by-step explanation:
4x-5+x=3+2x+4
5x-5=7+2x
5x-2x=7+5
3x=12
x=4
50 points if your answer is right
Answer:
32
Step-by-step explanation:
Pythagorean theorem
[tex]a^{2} + b^{2} =c^{2}[/tex]
a = perpendicular
b = base
c = hypotenuse
we have to find the hypotenuse
so,
[tex]13^{2} + 29.25^{2} = c^{2} \\169 + 855.6 = c^{2}\\1024.6 = c^{2}\\\sqrt{1024.6} = \sqrt{c^{2}} \\c = 32[/tex]
The cost and customer rating of 13 televisions is shown on the scatterplot. The televisions are rated on a scale of 0 to 10.
Scatterplot with x axis labeled Television Price going from 0 to 1,400 and y axis labeled Rating going from 0 to 12. Values at 61, 1; 185, 3; 221, 10; 291, 2; 462, 4; 666, 5; 686, 4; 730, 5; 862, 7; 997, 10; 1,055, 9; 1,077, 8; 1,263, 7.
Part A: Describe the association shown in the scatterplot. (4 points).
Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)
Part C: Give an example of a television that is cost effective and rated highly by customers. (2 points)
There is the positive association shown in the scatter plot and the television number 3 is cost-effective and rated highly by customers.
What is scatter plot?
Scatter plot is the plot of graph in which the values of two variables plotted using their coordinates on the graph.
The average rate of change is the ratio of change in y values to the change in x values of the scatter plot.
The cost and customer rating of 13 televisions is shown on the scatter plot. The televisions are rated on a scale of 0 to 10.
Television Price (x) Rating (y) 1; 185, 3; 221, 10; 291, 2; 462, 4; 666, 5; 686, 4; 730, 5; 862, 7; 997, 10; 1,055, 9; 1,077, 8; 1,263, 7.61, Part A: Describe the association shown in the scatter plot.Here, the price and rating is increasing together in the scatter plot. Thus, there is a positive association.
Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data.Here, the television number 3 has the high rate with low price. This affect the appropriateness of using a linear regression model to fit all the data.
Part C: Give an example of a television that is cost-effective and rated highly by customers.The television number 3 which is rated at 10 but the cost of it has just $221. Thus, the television number 3 is cost-effective and rated highly by customers.
Thus, there is the positive association shown in the scatter plot and the television number 3 is cost-effective and rated highly by customers.
Learn more about the scatter plot here;
https://brainly.com/question/6592115
#SPJ1
Answer:
Answer above is correct
Step-by-step explanation:
Just be careful not to put it word for word especially with the values as to not get caught by the plagiarism system :D
A scoop used to measure
powdered drink mix is in
the shape of a cone with a
radius of 5 cm
What is the height of the scoop if its volume is 75pi cm cube
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
plz help i give brainliest
Answer:
x = 6
Step-by-step explanation:
Tip: You want to isolate the x-variable on one side of the equation to find its value.
1) First, get rid of the radical signs on both sides of the equation by squaring both sides. This should leave you with 5x-7 = 3x+5.
2) Get the x-variables on one side by subtracting 3x from both sides, so the equation should be 2x-7=5.
3) Solve for x by adding 7 to both sides, so that your equation looks like this: 2x = 12.
4) Divide both sides by 2 and you will get x = 6. You can verify 6 as the x-value by plugging 6 back into the original equation.
I hope that helps! :)
Answer:
x=6
Step-by-step explanation:
A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one head
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
What is the area of the circle of the XY = 17 in?
A. 72.52pi in^2
B. 36.75pi in^2
C. 17pi in^2
D. 8.5pi in^2
Your answer would be A because the radius of the circle is half of its diameter.
Hope this helps <3 :)
Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale on the x and y axes!
Answer:
y= 2x + 4
Step-by-step explanation:
On Monday, Franco borrowed 15$ from his friend.Tuesday, Franco borrowed 12$ more from his friend. Franco plans to pay his friend back $18 on Wednesday. What will Franco’s balance be on Wednesday?
Answer:
He stills owes 9 dollars.
Step-by-step explanation:
-12+-15= -27. -27- 18= 9 .
1)
G
Radius
Dlameler:
Area:
Circumference:
Answer:
Radius:2
Diameter:4
Area:12.56
Circumference: 12.56
answer this asap pls no wrong answers