Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
If £2000 is placed info a bank account that pays 3% compound interest per year, How much will be in the account after 2 years?
(Giving brainliest)
Answer:
1880
Step-by-step explanation:
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subtract six eighths minus two fourths
Answer:
1/4
That would be the answer because 6/8 minus 2/4 would equal 1/4
Subtract six eighths minus two fourths is the same as 6/8 - 2/4.
Find common denominators.
6/8
2/4 = 4/8
Subtract.
6/8 - 4/8
2/8
Simplify.
2/8 = 1/4
Therefore, the answer is 1/4
Best of Luck!
Write the equation of a line that passes through the point (6,-3) and has a slope of -2
A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2
Answer:
A
Step-by-step explanation:
You don't have to do anything, the only equation with a slope of -2 is A.
Find the area of the shape shown below.
3.5,2,2,2,2,5
Answer:
26.75
Step-by-step explanation:
It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75
Answer:
26.75
Step-by-step explanation:
got it off khan
Helpp plsss!!!! I've to submit ASAP
solve 2x + 26=2 [5-3x]
Step-by-step explanation:
2x+26=2(5-3x)
2x+26=10-6x
combination of like terms
2x+6x=10-26
8x= -16
x= -16/8
x= -2
Find the surface area of the prism. Write your answer as a decimal.
Answer:
382.5 in²
Step-by-step explanation:
2 triangles + 3 lateral sides
2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)
90 + 90 + 81 + 121.5
382.5 in²
Answer:
[tex]382.5 {in}^{3} [/tex]
Step-by-step explanation:
hope this helps
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false
Answer:
yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h
Solve for ttt. 2(t+1) = 10
Answer:
I hope this helps you. Have a great rest of your day!
The required, solution to the equation 2(t+1) = 10 is t = 4.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Expanding the left side of the equation, we get,
2t + 2 = 10
Subtracting 2 from both sides, we get,
2t = 8
Dividing both sides by 2, we get,
t = 4
Therefore, the solution to the equation 2(t+1) = 10 is t = 4.
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The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=
Answer:
[tex]x=\dfrac{325}{c-7}[/tex]
Step-by-step explanation:
The average cost c (in dollars) to manufacture x t-shirts is given by the function:
[tex]c=\dfrac{7x+325}{x}[/tex]
We are required to express the number of t-shirts in terms of the average cost.
First, we cross multiply
cx=7x+325
Bring the terms containing x to the left hand side
cx-7x=325
Factorize out x
x(c-7)=325
Divide both sides by c-7
[tex]x=\dfrac{325}{c-7}[/tex]
Therefore, the number of t-shirts, x in terms of the average cost, c is:
[tex]x=\dfrac{325}{c-7}[/tex]
Mr. Wilson bought a bag of bird seed and put half of it in the bird feeder.He split the other half equally among his 4 parrot birds how much of the bag did each pet bird eat
Answer:
Each parrot Bird ate 1/8 of a bag
Step-by-step explanation:
Here, we are interested in calculating the portion of the bag eaten by each of the pet birds
Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag
Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag
A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?
Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
Find the area? Please help
Answer:
6.285
Step-by-step explanation:
π·22≈12.56637 divided by 2 (half) is 6.285
Answer:
12.56 units squared
Step-by-step explanation:
find the area of the whole circle:
formula for this is: pi multiplied by the radius which is squared.
The math for this is Below
3.14 x 2 squared
2 squared is 4
so 4 times 3.14 which is 12.56
someone please answer this for me! it’s timed
Answer:
151 degrees
Step-by-step explanation:180 - 29=151
The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Answer:
Is there anything else to the question like a equation?
Step-by-step explanation:
log x + Log(x+5) = log 6
Answer:
logx+log(x +1)= log6
Step-by-step explanation:
Please find attached photograph for your answer.
Do 1,2 for 5-8 points.
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
please help will mark brainly
Answer:
1 hour and 5 minutes
Step-by-step explanation:
Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes
x + 2y = 13
-x + y = 5
Answer:
x = 1; y = 6
Step-by-step explanation:
x + 2y = 13
-x + y = 5
Add the equations to eliminate x.
3y = 18
Divide both sides by 3.
y = 6
Now substitute y with 6 in the first equation.
x + 2(6) = 13
x + 12 = 13
Subtract 12 from both sides.
x = 1
Answer: x = 1; y = 6
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.
Answer:
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
Step-by-step explanation:
(p+4q)^3 -->
(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
If 0.75A = 36, what would you do to solve
for A?
Answer:
you divide 36 by 0.75
Step-by-step explanation:
Answer:
Divide 36/.75
Step-by-step explanation:
You need to isolate A in order to solve the equation.
what’s the answer for this
Answer:
63 yd²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 9, thus
A = 7 × 9 = 63 yd²
Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer
Answer:
90
Step-by-step explanation:
When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mm1. Remember, evaluate means to plug in the value for the specified
variable.
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Evaluate: (x - 3)2 + 2x - 4 for x = 5
Answer:
Value: 10
Step-by-step explanation:
1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4
2. Substitute this value of x into the expression as such:
2(5 - 3) + 2(5) - 4
3. Now we can approach this first part of the problem in two ways:
Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)
Option 2. subtract 3 from 5, then multiply 2 by that value
4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4
5. Now apply algebra and solve this expression:
2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10
What is cumulative frequency
Explanation:
Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.
Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.
A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?
Answer:
4
Step-by-step explanation:
4,12
1,3
4/12=4
12/3=4
The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.
Explain about the Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.
The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.
= 4,12
= 1,3
= 4/12 =4
= 12/3 =4
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Is the ordered pair (4, -2) a solution to this system? Explain why or why not.
Answer: No, it would not be a solution.
Step-by-step explanation:
The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.
The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?
Factor the trinomial
The factors of m^2+12m+35 are ____ and ____
