find the exact value of 2sin30 cos30
Answers
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
Related Questions
In a pizza restaurant, you can get a basic pizza with two toppings: cheese and tomato.
You can also make up your own pizza with extra toppings. You can choose from four
different extra toppings: olives, ham, mushrooms and salami.
Ross wants to order a pizza with two different extra toppings.
How many different combinations can Ross choose from?
Answers
The number of different topping combination illustrates combination
Ross have 6 different topping combination to select from
The number of different combinationThe given parameters are:
Extra toppings, n = 4
Toppings to select, r = 2
The number of extra topping that Ross can select is then calculated using the following combination formula
Toppings = nCr
This gives
Toppings = 4C2
Evaluate the combination expression
Toppings = 6
Hence, Ross have 6 different topping combination to select from
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Helppp
For triangle ABC below, find missing side length BC and both missing angle measures
Answers
Answer:
3
Step-by-step explanation:
use the pythagoreum therory
You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?
Answers
Answer:
salary: $40,000÷18% = $ 222. 222 22
222 222 22÷40,000×100%
= 555.56%
Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft
Answers
Answer:
its c
Step-by-step explanation:
think about it for a second
A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d
Answers
Answer:
c. $77.00
Step-by-step explanation:
The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.
1.86 × $41.40 = $77.00
The helment price will be $77.00 when the CPI is 186.
Answer:
C. $77.00
Step-by-step explanation:
Edge23
What is the volume of the water in the tank?
Answers
Answer:
1008 in^3
Step-by-step explanation:
V= l*w*h
12.8*10.5*15=2016 in^3
The tank is half full
2016/2= 1008
1008 in^3
You are calculating how many seats there are at Wrigley
Field in Chicago, Illinois. You count that there are 1,487 rows
Each row has 28 seats.
How many seats are there in the whole field?
Answers
Answer:
41,636
Step-by-step explanation:
Easy, on each row, there are 28 seats, and we know there's 1487 rows in total.
Hence, number of rows multiplied by number of seats counted
1487 × 28
=41,636
(Dang, that's alot of seats then)
A line passes through the point (-9, -3) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answers
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3
m= 2 (the slope)
an equation in the point-slope form is : y +3 = 2(x+9)
means : y+3 =2x +18
an equation in slope-intercept id : y=2x+15
Three metallic tanks have the capacities of 447 litres, 577 litresand 669 litres. Find the capacity of the largest container that can fill the tanks an exact number of times, leaving a remainder of 7 litres, 5 litres and 9 litres respectively. (3 marks)
Answers
Answer:
44 litres
Step-by-step explanation:
We subtract the remainders from the amounts.
447 - 7 = 440
577 - 5 = 572
669 - 9 = 660
Now we need the GCF of 440, 572, 660
440 = 2³ × 5 × 11
572 = 2² × 11 × 13
660 = 2² × 3 × 5 × 11
GCF = 2² × 11 = 44
The greatest common factor is 44.
Answer: 44
Check:
447/44 = 10 reminder 7
577/44 = 13 remainder 5
669/44 = 15 remainder 9
Tony bought a printer on sale for 45. The original price was 60 . What is the percent decrease of the price of the load ?
Answers
Answer:
25%
Step-by-step explanation:
STEP 1:
Find the difference between the two values
e.g 60-45=15
STEP 2
Divide the difference by the original value
e.g 15/60=1/4
STEP 3
Convert 1/4 into a percentage
e.g 1/4=0.25=25%
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
Answers
Answer:
6x=46.50
Step-by-step explanation:
Maria wrote the equation log (startfraction x over 2 endfraction) log (startfraction 20 over x squared endfraction) = log 8 what is the solution to maria’s equation?
Answers
The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.
What is a logarithm?A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.
It is given that
[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]
Using properties of a logarithm, we get
[tex]\rm log x + log y=logxy[/tex]
[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]
on comparing
10/x = 8
x = 10/8
x = 5/4
Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.
Learn more about logarithm;
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Answer:
C
Step-by-step explanation:
C) 5/4
17. Which of the following transformations does NOT preserve congruence?
(x,y) - (y + 2,-x-1)
(x,y) - (x-3, y-2)
(x,y) -- (0.5x + 1,0.5y-2)
(x,y) - (-y-3,x+5)
Answers
(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.
what is transformation ?An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.
given
(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.
In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.
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What is the x -value of the ordered pair (0, 4)?
Answers
Find the value if x. PLS HELP ASAP
Answers
Answer: 90°
Step-by-step explanation:
(x°+90°)=180°(being the sum of angles of the triangle)
or, x°= 180°-90°
or x°= 90°
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}
Answers
Answer:
The answer is A. {2,4}
Step-by-step explanation:
I took the test on edmentum. 100%
Expand & simplify
4
(
x
+
5
)
+
5
(
x
−
5
)
Answers
4(x+5) + 5(x-5)
The first step is to distribute (PEMDAS --> parenthesis)
4x + 20 + 5x - 25 Now combine like terms
9x - 5
Thus, the answer is 9x-5
What is the radius of the sphere? Use 3.14 for 7 and round your answer to the nearest
tenth.
O 4.7 m
O 3.4 m
O 6.2 m
O 2.8 m
Answers
Answer:
its 3.4 m
Step-by-step explanation:
i had the same test
Answer:
2.8
Step-by-step explanation:
r=(3V4π)⅓=
(3·91.94·π)⅓≈2.79947
I tried other answer, got it wrong, this one is right.
I NEED HELP!!!
Find the value of A,B,C,D,E,F,G,H
Answers
Answer:
A = 33
B = 38
C = 5
D = 18
E = 30
F = 79
G = 56
H = 170
Step-by-step explanation:
See attached image.
WILL GIVE BRAINLIEST
What causes wind?
Question 3 options:
There is an increase in temperature and an increase in density.
An area of high pressure pushes toward an area of low pressure.
An area of low pressure pushes toward an area of high pressure.
Answers
An area of high pressure pushes toward an area of low pressure causing wind
I attached a diagram that can hopefully help you visualize the situation
Hope that helps!
I need 16,18, and 20 answered thank you
Answers
16:
4b(5b-3)-2(b²-7b-4)
= 20b²-12b-2b²+14b+8
=18b²+2b+8
18:
3m(3m+6)-3(m²+4m+1)
= 9m²+18m-3m²-12m-3
=6m²+6m-3
20:
4x(3x+2)-3x×2x
=12x²+8x-6x²
=6x²+8x
Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they traveled when Tallulah fell asleep?
Answers
When Tallulah fell asleep, the family had already traveled 57% of the total trip.
A percentage is a way of expressing a number as a fraction of 100. It is often used to describe proportions, ratios, or rates. For example, if 20 out of 100 people in a room are wearing red shirts, we can say that 20% of the people are wearing red shirts.
If Tallulah slept for the last 129 miles of the trip, it means that the family had already traveled 300 - 129 = 171 miles before she fell asleep.
To calculate the percentage of the total trip that they had traveled when Tallulah fell asleep, we can use the following formula:
Percentage = (Part ÷ Whole) x 100
Where "Part" is the number of miles the family had traveled before Tallulah fell asleep (171 miles) and "Whole" is the total length of the trip (300 miles).
Percentage = (171 ÷ 300) x 100
Percentage = 0.57 x 100
Percentage = 57%
Therefore, when Tallulah fell asleep, the family had already traveled 57% of the total trip.
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A triangular prism is 15 yards long and has a triangular face with a base of 12.9 yards and a height of 10.3 yards. what is the volume of the triangular prism?
Answers
Answer:
Step-by-step explanation:
Area of the base = 1/2 * B * h
B: 12.9
h = 10.3
Area of the face = 1/2 * 12.9 * 10.3
Area of the face = 66.435
Volume = Triangle * height
Triangle = 66.435 yd^2
Height = 15 yd
Volume = 66.435 * 15
volume = 996.525
I think this should be rounded to one decimal place: 996.5
Which expression has a value of -22?
−5 × 2 − 12
8 − (−3) +33 ÷ (−3)
−3 + (−2) − (−8) −1
−6 × 2 − (−15)
Answers
Answer:
(-5)*2 - 12
Step-by-step explanation:
First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .
If two integers have same sign, add and the result will have the sign of the both integers.
(-5)*2 - 12 = -10 - 12
= -22
PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!
Answers
Answer:
c and d
Step-by-step explanation:
hope it helps bud
here is a graph of x from 0 to 2 By drawing a second graph on the grid, work out an approximate solution to the simultaneous equation 3x-y=2 and 2x+y=4
Answers
Answer:
(1.2, 1.6)
Step-by-step explanation:
Rewrite both equations to make y the subject:
Equation 1: 3x - y = 2
⇒ 3x = 2 + y
⇒ y = 3x - 2
This line has a positive slope.
Equation 2: 2x + y = 4
⇒ y = -2x + 4
This line has a negative slope.
Therefore, the graph that has been plotted is y = 3x - 2
Plotting second graph
Equation of the line: y = -2x + 4
Input x = 0 into the equation and solve to find the y-intercept:
⇒ y = -2(0) + 4 = 4
Therefore, the y-intercept is (0, 4)
Input y = 0 into the equation and solve to find the x-intercept:
⇒ 0 = -2x + 4
⇒ 2x = 4
⇒ x = 2
Therefore, the x-intercept is (2, 0)
Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.
The solution to the system is the point of intersection of the two lines. From inspection of the graph, this is (1.2, 1.6)
------------------------------------------------------------------------------------------------
Solving algebraically
Equation 1: 3x - y = 2
Equation 2: 2x + y = 4
Sum the equations to eliminate y:
[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]
Solve for x:
[tex]\implies x=\dfrac65=1.2[/tex]
Substitute found value of x into one of the equations and solve for y:
[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]
So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)
+
Sasha earns $10,50 per hour at
her job. She deposits everything she earns into
her savings account. She currently has $150 in
his savings account. Jack earns $9.00 per hour
at his job. He deposits everything he earns into
his savings account. He currently has
$300 in his savings account.
What month will both Sasha and Jack have the
same amount of money in their account?
Plssssss helpp me
Answers
Sasha = $10.50x + 150
Jack = $9.00x + 300
Now that you know these equations you must have them equal to each other to find what value of X how many hours they will be equal. We cannot find out the months that Sasha and Jack will have the same amount of money on the account because there is no information regarding the hours they work per month. However by setting both of the equations equal to each other you can find the number of hours it will take for them to have the same amount of money in their accounts.
Which object would weigh closest to 1 ton?
Answers
Answer:
The answer is 73 billion bars of gold
I believe it would be a car
a listing for a home for sale is shown as follows: “3/2/1 house for sale. price 140000” what does “3/2/1” mean
Answers
Answer:
A
Step-by-step explanation:
Usually when purchasing a house you refer to the bedroom then the bathroom then potentially your garden width/height or you garage
(Can somebody please help me!) (NO links!)
What do I put!
Answers
Answer:
x = 16angle = 48°Step-by-step explanation:
The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.
42° +3x° = 90°
3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle
x = 16 . . . . . . divide by 3°
__
The value of x is 16.
The measure of the missing angle is 48.
