Step-by-step explanation:
[tex] \cos(a) + 2 \cos(a + 240) [/tex]
[tex] \cos(a) + 2 \cos(a) \cos(240) - \sin(a) \sin(240) [/tex]
[tex] \cos(a) + 2( - \frac{ \cos(a) }{2} + \frac{ \sqrt{3} }{2} \sin(a) )[/tex]
[tex] \cos(a) - \cos(a) + \sqrt{3} \sin(a) [/tex]
[tex] \sqrt{3} \sin(a) [/tex]
If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.
What is 594 minus 236?
Answer:
358
Step-by-step explanation:
What is the slope of a line parallel to the line with equation 5x−2y=11?
−112
−52
−25
52
Answer: 52
Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .
A student wants to interview students about their favorite sport. The students asks 50 people who play a sport for the school. Is this an example of a random sample or a biased sample?
A
Random sample
B
Biased sample
Answer:
Random
Step-by-step explanation:
julia help the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red. there are 8 tables in all how many are red?
The fraction illustrates that there are 6 red tables.
How to calculate the fraction?Fron the information, Julia helps the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red.
Therefore, the numbers that are red will be:
= Fraction of red × Total number
= 3/4 × 8
= 6
Therefore there are 6 red tables.
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Find the area
(Please)
Give explanation
Answer:
960 cm²
Step-by-step explanation:
Area of trapezoid: (a + b)(h)/2
A = (20 + 40)(32)/2
A = 60(32)/2
A = 1920/2
A = 960 cm²
BRANLIEST please if this helps!Find the area of the figure.
A) 114 cm2
B) 350 cm2
C) 418 cm2
D) 447 cm2
Answer:
418 cm2
Step-by-step explanation:
Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.
s2 = area of square
192 = 361 cm
BH= area of triangle
(6)(19) = 57 cm2
361 + 57 = 418 cm
Answer:
c= 418cm2
Step-by-step explanation:
good bye now human
Brainliest?! :]
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Slope of parallel line:[tex]-1\frac{3}{5}[/tex]
Slope of perpendicular line: [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Because parallel lines have equal gradients, but perpendicular lines have gradients which equal to -1 when multiplied.
Hope it helps:)
Answer:
Slope of parallel line:[tex]-1\frac{3}{5}[/tex]
Slope of perpendicular line: [tex]\frac{5}{8}[/tex]
Which answer best describes the shape of this distribution?
(A)uniform
(B)skewed left
(C)bell-shaped
(D)skewed right
Answer:
I'm not 100% sure but it might be b
Step-by-step explanation:
Identify the quotient in the form of a + bi.
1 + 6 divided by
−3 + 2i
The quotient of the expression in form of a + bi is 9/13 - 20/13i
Rationalizing complex expressionsGiven the following expressions
1+6i/-3+2i
Rationalizing the given rational complex number, we will have;
= 1+6i/-3+2i * -3-2i/-3-2i
= (1+6i)(-3-2i)/9+4
= -3-2i-18i-12i²/13
Simplify the result to have:
= -3+12-20i/13
= 9-20i/13
Express in the form a + bi
9/13 - 20/13i
Hence the quotient of the expression in form of a + bi is 9/13 - 20/13i
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The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x
Answer:
x= 28/5 or 5.6
Step-by-step explanation:
5(x+2)−3(x−6)=7x
5(x+2)−3(x−6)=7x
Simplify both sides of the equation.
5(x+2)−3(x−6)=7x
(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)
5x+10+−3x+18=7x
(5x+−3x)+(10+18)=7x <--(Combine Like Terms)
2x+28=7x
2x+28=7x
Subtract 7x from both sides.
2x+28−7x=7x−7x
−5x+28=0
Subtract 28 from both sides.
−5x+28−28=0−28
−5x=−28
Divide both sides by -5.
[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]
x= 28/5
Answer:
x= 28/5
or
5.6
hope this helps!
plss help :))))))))))))))))))))))))))))))))))))))))))))))))))0
Step-by-step explanation:
Diameter is 18
So radius will be d/2 which is 9
As the formula of area is
[tex] \pi{\r}^{2} [/tex]
So put the vales
We get s
254
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Want Brainliest? Please help! :(
Find the circumference and the area of a circle with diameter 6 m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Circumference=18.84 m
Area = 28.26 [tex]m^{2}[/tex]
Step-by-step explanation:
Circumference = 2πr
= 2 x 3.14 x 3 (radius = 6/2 = 3)
= 18.84 m
Area = π[tex]r^{2}[/tex]
= 3.14 x [tex]3^{2}[/tex]
= 28.26 [tex]m^{2}[/tex]
Answer:
Circumference=18.84 m
Area = 28.26
Step-by-step explanation:
How do you simply a ratio? I have no clue how to do that.
Explain how stroke is caused by substance abuse
Answer:
Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.
Step-by-step explanation:
MAX POINTS help me
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \sin(bx) + c[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
General equation:-
Asin(bx)+cSo
Amplitude=A=-3Min=-2 ,max=4
Hence
b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2midline =c=1
So plugin the values
y=-3sin(π/2x)+1can someone please help me solve this? thank you!
Find the circumference:
Circumference = pi x radius x 2 = 138.16 feet
Linear travel = circumference x rotations
linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet
100 POINTS AND BRAINLIEST. I need help ASAP.
Screenshots Below.
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 14 4
−1 12 1
0 1 0
1 2 1
2 4 4
3 8 9
4 16 16
Which statements are most likely true based on the given values?
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of g(x) will remain greater than those of f(x) as the input values continue to increase.
The output values of f(x) will surpass those of g(x) as the input values continue to increase.
Answer:
Step-by-step explanation:
First what we must do is rewrite the table to find a solution:
0.25^x −0.75x+1
64 3.25
16 2.5
4 1.75
1 1
0.25 0.25
0.0625 −0.5
0.015625 −1.25
We see where the values of the function are the same:
x = 0 (1)
x = 1 (0.25)
answer:
x = 0
x = 1
Answers:
f( x ) is an exponential function.g( x ) is a polynomial function.The output values of f( x ) will surpass those of g( x ) as the input values continue to increase.Use the distributive property to write an expression that is equivalent to the expression below. 5(2x+7)
[tex]10x+35[/tex]
Solution:Use the distributive property to simplify.The distributive property states the following:x(y+z)=xy+xz (x times y plus x times z)Now, simplify:[tex]5(2x+7)[/tex][tex]10x+35[/tex]I multiplied 5 times 2x and 5 times 35.Is [tex]10x+35[/tex] the final answer? Yes, we cannot simplify it anymore, because 10x and 35 are not like terms.Hope it helps.
Do comment if you have any query.
GIVING BRAINLIEST + STARS
I know A to B is 20m/s but what is C to D?
Answer:
See below ↓↓
Step-by-step explanation:
A to B
Avg. speed = Distance covered / Time takenAvg. speed = 200 m / 10 sAvg. speed = 20 m/sC to D
Avg. speed = Distance covered / Time takenAvg. speed = (500 - 200) m / (60 - 30) sAvg. speed = 300 m / 30 sAvg. speed = 10 m/sPLEASE HELP PLEASE PLEASE HELP
Answer:
5x10x9 Is the correct answer meaning that the answer is 450
Brainliest would be very appriciated
Step-by-step explanation:
EDIT: my bad i read the question wrong, the answer is D:450
sorry for any confusion ;^;
Find the area of the parallelogram. of 6 m 10 m
Answer:
60m
Step-by-step explanation:
The formula for the area of a parallelogram is base x height.
b x h
6m x 10m = 60m
A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14
Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
x² - 16x + 50 = 0
( x² - 2(x)(8) + 64 ) - 64 + 50 = 0
( x - 8 )² - 14 = 0
( x - 8 )² = 14
Answer:
(x-8)^2=14
:)
Step-by-step explanation:
Using a 10' long piece of strut as a straightedge, you are trying to determine the outside diameter of a grain storage silo. You and your partner very carefully measure from the ends of the straightedge, squarely, in to the wall of the silo and find that the “H” distance is 14 3/4" at both ends. What is the radius of the silo in inches? Note: The values calculated for this question may be used for additional questions. (Round the answer to the nearest 1/8".)
The radius of the silo is the distance from its center to the outside wall
The radius of the silo is 7 3/8" or 7 3/8 inches
How to determine the radius?From the question, we have the following parameters:
Length of strut = 10'Outside diameter of silo = 14 3/4"The radius is then calculated as:
Radius = 0.5 * Diameter
This gives
Radius = 0.5 * 14 3/4"
Evaluate the product
Radius = 7 3/8"
Hence, the radius of the silo is 7 3/8" or 7 3/8 inches
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A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.
c=30p
$450
Step-by-step explanation:Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.
Writing the Equation
As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.
This creates the equation C=30pSolving the Equation
To solve the equation for 15 people, plug 15 in for p.
C=30(15)Then, multiply out to solve
C=$450hallenge
A tank was1/4 of the way filled of water. After 3 L of water was added, it was7/10
full. How many liters of water did it have at first?
Factor the expression. 16m2 – 24mn + 9n2
(4m – 3n)(4m + 3n)
(4m – 3n)2
(16m – 3n)(m + 3n)
(4m + 3n)2
16m2 – 24mn + 9n2
((16 • (m2)) - 24mn) + 32n2
(24m2 - 24mn) + 32n2
= (4m - 3n)2
The following figure shows a cube. Which expression represents the surface area of the cube?
Answer:
6 ⋅ 16
This is the sum of the areas of the 6 square faces.
The surface area of the cube in the figure given is 96 squared units
What is surface area of a cube?The surface area of a cube is calculated by finding the total area of all six faces. Since all sides of a cube are equal in length, you can use the formula:
Surface area of a cube = 6 × (side length)²
In other words, you square the length of one side of the cube and then multiply it by 6 to get the total surface area.
Let's say the side length of the cube is "s," then the formula becomes:
Surface area of a cube = 6 × s²
In the question given, we can calculate the surface area of this cube as;
Surface area = 6 * s²
s = 4
Surface area = 6 * 4²
Surface area = 6 * 16 = 96 unit²
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A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?
Answer:
157 if youre going by 3.14
157.08 if youre going by π
Step-by-step explanation:
you want to find the circumference
circumference is 2πr
the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle
2 * 3.141 * 25 = 157
The length of the path that goes around the outside of the circle stands at 157.08 meters.
What is a circle?A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.
Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.
Now, the perimeter of the circle exists the length of the path that goes around the outside.
Thus, the perimeter of the circle stands,
Perimeter = π × Diameter
= π × 50 meters
= 157.07963 meters ≈ 157.08 meters
Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.
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show work. A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 59 ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn?
Step-by-step explanation:
oh that is again something you can nicely envision :
the inner circle has a radius of 59 ft.
so, because of the 2 ft wide track the outer circle has a radius of 59+2 = 61 ft.
the circumference of a circle is
2×pi×r
the answer to the question is simply the difference bergen the 2 circumference values.
inner circle :
2×pi×59 = 118pi
outer circle :
2×pi×61 = 122pi
the difference is
122pi - 118pi = 4pi = 12.56637061... ft ≈ 12.6 ft
the wheel on the outer track travels about 12.6 ft farther than a wheel on the inner track in one full turn.