Answer:
[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]
Step-by-step explanation:
[tex]cos(\frac{11\pi}{12})[/tex]
[tex]cos(\frac{2\pi}{3}+\frac{\pi}{4})[/tex]
[tex]cos(\frac{2\pi}{3})cos(\frac{\pi}{4})-sin(\frac{2\pi}{3})sin(\frac{\pi}{4})[/tex]
[tex](-\frac{1}{2})(\frac{\sqrt{2}}{2})-(\frac{\sqrt{3}}{2})(\frac{\sqrt{2}}{2})[/tex]
[tex]-\frac{\sqrt{2}}{4}- \frac{\sqrt{6}}{4}[/tex]
[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]
Helpful Tips:
Sum Identity: [tex]cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)[/tex]
If A is the center of the circle which of these is the radii
Answer:
A-b because radius is the line segments from its center to its perimeter
Step-by-step explanation:
George is 14 years old. His age is 2 years more than twice his brother, Jhon's age. How old is John?
Answer:
30
Step-by-step explanation:
14×2=28
28+2=30
i hate riddles
If 15 out of 25 students are boys, what percent of the class is
made up of boys?
Help helphep help help math straightforward
Step-by-step explanation:
when a line cuts through 2 parallel lines, it does the exact same thing to both lines. it has to. because they are parallel, they act as if they are identical. only their placement is different, but this has no impact on the angles between the lines.
now, imagine a circle with the center at one of the crossing points. this circle is cut in half by the central line.
you know how many degrees a full circle has ?
360 degrees.
now, how many degrees are represented by the half- circle above or below the center line ?
of course, half of the degrees of the full circle. that means 180 degrees.
so, all the angles around a single point on one side of a line must have how many degrees together ?
right, these half-circle 180 degrees again.
because of everything we said up there, the angle 4x+6 is the same as the angle right of the 7x-2 angle.
so, 7x-2 and 4x+6 must be 180 degrees together.
that is called "supplementary angles".
7x - 2 + 4x + 6 = 180
11x = 176
x = 16
what two numbers multiply to -36 and adds to 1?
HELP SOMEONE!!!!!! PLZZZZ!!!
Find all complex numbers $z$ such that $z^4 = -4.$
Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,
[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]
where k = 0, 1, 2, or 3. Then the 4th roots of -4 are
[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]
[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]
[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]
[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]
For what value(s) of k is + 3 a factor of 3 + 5 2 + − 9
FAST FASTTTT
Answer:
56
Step-by-step explanation:
Who’s up right now and will do homework for pay !
Step-by-step explanation:
[tex]\huge\mathbb\red{I Also Need Help}[/tex]
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3=2x
Solve this equation.
Then verify IT.
[tex] \huge \bf \: Question : [/tex]
[tex]3 = 2x[/tex]
This is an equation. We need to find the value of X and verify it.
[tex] \huge \bf \: Solution : [/tex]
Let's find out the value of X :-
[tex] \sf \implies \: 3 = 2x[/tex]
Firstly, over turn the equation :-
[tex]\sf \implies2x = 3[/tex]
Then, Divide both sides of this equation by 2 :-
[tex]\sf \implies \: \dfrac{2x}{2} = \dfrac{3}{2} [/tex]
Cancel 2/2 on this equation and Leave x :-
3/2 can't be cancelled.
[tex]\sf \implies \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{3}{2} [/tex]
[tex]\sf \implies \: x = \dfrac{3}{2} [/tex]
Hence the value of x is 3/2.
________________________________
[tex] \bf \huge \: Verification : [/tex]
Put the value of x on this equation :-
[tex]\sf \implies \: 3 = 2x[/tex]
On Putting 3/2 instead of x :-
As we know that x is multiplied with 2 so,
[tex]\sf \implies \: 3 = 2 \times \dfrac{3}{2} [/tex]
Simplify this equation(Cancel 2 and 2) :-
[tex]\sf \implies \: 3 = \cancel2 \times \dfrac{3}{ \cancel2} [/tex]
[tex]\sf \implies \: 3 = 3[/tex]
[tex]\sf \implies \bf \: L HS = RHS[/tex]
[tex] \boxed {\bf\huge Hence, verified.}[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?
A. 52 green beads; 39 yellow beads
B. 52 green beads; 26 yellow beads
C. 26 green beads; 52 yellow beads
D. 39 green beads; 52 yellow beads
Answer:
A. 52 green beads; 39 yellow beads
Step-by-step explanation:
See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The
Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.
G: 52 Beads
B: 26 Beads
Y: 39 Beads
Two same-sized triangular prisms are attached to a rectangular prism as shown below.
If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters
Answer:
answer will be a 1,208 square centimeters
Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?
Answer:
y = 75x + 650
So I think it's linear.
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer:
Step-by-step explanation:
You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.
You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3
You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.
10. Flora rented a space at the flea market.
Her space included electricity.
Booth Space
each day:$25
Electricity:$2
Which expression gives the total cost of
the day's rental if she used h hours of
electricity?
A. 25-2h
B. 25 + 2h
C.(25+2) x h
D. 25h+2
Answer:
It is D
Step-by-step explanation:
I am not exactly sure how to explain but i'll try.
The 2 dollars is added to her price, so it is not A.
The 25 dollars is every day, so it is mutlipled by x. So its not B.
The 2 dollars is not everyday like the 25 dollars, so its not C b/c its not everyday.
1. A stack of boards is 21 inches high. Each board is 1¾ inches thick. How many boards are there
Answer:
12
Step-by-step explanation:
We can solve this by setting up an equation with the variable x representing the number of boards. Since x number of 1.75 inches thick boards sum up to the height of 21 inches, the equation is 1.75x = 21, so x = 12. There are 12 boards.
A map scale indicates that .5 inches represents 13 miles. What is the actual distance of two cities that are measured on the map to be 4.5 inches apart?
Round your answer to the nearest integer.
Answer:
9 is the answer, wanna know how?
Step by Step explanation : So you do this and that equals 9.
Emma says that Function A has a greater initial value. Is Emma correct? Justify your response. Function A Function B Alternative text x 2 4 6 8 10 y 2 3 4 5 6 A. Yes; Function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value. B. Yes; Function A has an initial value of –1 and Function B has an initial value of –2. So, Function A has a greater initial value. C. No; Function A has an initial value of –2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No; Function A has an initial value of 2 and Function B has an initial value of –1. So, Function B has a greater initial value
Answer: B
Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2
Answer:
It is C
Step-by-step explanation:
"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."
Please explain how you got to the answer. I am trying to understand the concept that went into it.
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
A. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
B. x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
C. x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
D.x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Answer:
D. x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
Evaluate 0 and 1 (xe+ex)Dx
)) The volume of a pyramid with base area B and height his Bh. Jill makes candles
shaped like pyramids to sell at a craft fair. The candles are 6 inches tall and have a base area
of 4 square inches.
1) What is the volume of one of the candles?
1) Write your answer as a whole number or decimal.
cubic inches
Submit
Answer:easy it’s 8
Step-by-step explanation:I just did that same ixl/quiz!
As an improper fraction simplified
Answer:
82/63
Step-by-step explanation:
The sum can be found using the formula ...
[tex]\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}[/tex]
For the given fractions, the sum is ...
[tex]\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}[/tex]
_____
Additional comment
When the denominators have no common factor, the least common denominator is their product, as here.
Answer:
For this question, you can make the denominators the same to get the answer.
LCM of 7 and 9 = 63
[tex]\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\[/tex]
= [tex]\frac{82}{63}[/tex]
= 1[tex]\frac{19}{63}[/tex]
3
Johnny has been hired to draw a mural on the window of the pet store. The scale drawing he is using is shown below.
4.5 cm
6 cm
If 1 centimeter represents 10 inches on the mural, what is the actual height and width of the hamster that he will be drawing on the
mural?
OA.
66 in by 49.5 in
ОВ.
90 in by 120 in
Od
6 in by 4.5 in
OD. 60 in by 45 in
Answer:
OD 60 in by 45 in
Step-by-step explanation:
Emilio borrows $1200 from a bank with 8% simple interest per year. How much is the interest
Answer:
96
Step-by-step explanation:
trust me I'm good at math
1. Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360.
2. Subtract the area of the triangle from the area of the sector.
length of the radius
length of the diameter
measure of the central angle
circumference of the circle
Answer: measure of the central angle
Step-by-step explanation: trust
Answer:
measure of the central angle
Step-by-step explanation:
what is the y intercept of the graph
what is the slope
Answer:
y-intercept = 1
slope = 4
Step-by-step explanation:
The y-intercept is where the line intersects with the y.
And the slope is rise over run, so it rises 4 and walks over 1, therefore the slope is [tex]\frac{4}{1}[/tex] which simplifies to 4.
Hope this helped! :)
Answer:
y intercept (0,1)
slope 4
Step-by-step explanation:
The y intercept is where the graph crosses the y axis
The graph crosses at y =1
(0,1)
We can find the slope by taking rise over run
The graph rises 4 units ( goes up 4 units)
Then goes to the right 1 units
The slope is 4/1 = 4
6(h - 6k+7) distributive property
Answer: 6h-36k+42
Step-by-step explanation:
6(h - 6k+7)
First, start by doing 6 times h
Then, 6 times -6k
Lastly, 6 times 7.
6h-36k+42 is your answer.
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 seconds
Step-by-step explanation:
3 minutes = 180 seconds
180 seconds + 37 seconds = 217 seconds
Can y’all please help me answer this, this My last question
Answer:
x ft is the answer since X = 10
so it means 10 ft
What is the value of the expression
Answer:
C. 9
Step-by-step explanation:
K(3)=3*3=9........................
Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:
[tex]b=14[/tex]
What is a parallel line?They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.
With this information we can solve this exercise as:
[tex]5b=b+56\\4b=56\\b=14[/tex]
See more about parallel lines at brainly.com/question/16701300
On which number line -9 and its opposite shown?
Answer:C TRUST MEEE
Step-by-step explanation:
mark as brainliest