The value of x', the image point with respect to an axis rotated 60 is 3/2 + 4√3
How to determine the x' coordinate?The point is given as:
(x, y) = (3, 8)
The angle of rotation is given as:
θ = 60
The image of rotation is calculated using:
x = x'cosθ - y'sinθ
y = x'sinθ + y'cosθ
So, we have:
3 = x'cos(60) - y'sin(60)
8 = x'sin(60) + y'cos(60)
Evaluate cos(60) and sin(60)
3 = 1/2x' - y'√3/2
8 = x'√3/2 + 1/2y'
Multiply the second equation by √3
8√3 = 3/2x' + √3/2y'
Add this equation and the first equation to eliminate y'
3 + 8√3 = 1/2x' + 3/2x'
Evaluate the sum
3 + 8√3 = 2x'
Divide through by 2
x' = 3/2 + 4√3
Hence, the value of x' is 3/2 + 4√3
Read more about rotation at:
https://brainly.com/question/16691874
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3 Which expression represents the volume, in cubic centimeters, of the cylinder represented in the diagram below?
Answer:
972π
Step-by-step explanation:
→ Remember the formula for a volume of a cylinder
π × r² × h
→ Identify the values
r = 6 cm and h = 27
→ Substitute into volume formula
π × 6² × 27
→ Simplify
972π
How many solutions does this equation have?
one solution?
infinite solutions?
no solutions?
Explain how you determined your answer.
9(w - 9) - 2 = -7w + 7(w - 8)
Answer:
The given equation having only one solution i.e., "w = 3". A further explanation is provided below.
Step-by-step explanation:
The given equation is:
⇒ [tex]9(w-9)-2=-7w+7(w-8)[/tex]
By opening the brackets, we get
⇒ [tex]9w-81-2=-7w+7w-56[/tex]
⇒ [tex]9w-83=-56[/tex]
On adding "83" both sides, we get
⇒ [tex]9w-83+83=-56+83[/tex]
⇒ [tex]9w=27[/tex]
⇒ [tex]w=\frac{27}{9}[/tex]
⇒ [tex]=3[/tex]
Find the missing lengths of the leg AND the hypotenuse in simpilest radical form.
Answer:
Above picture is the solution for your question
Step-by-step explanation:
Use relation of trignometric ratios
help me plz it my bday
Answer: thats 17
Step-by-step explanation:
4+8+2+3 Im sure im right Happy b day!
Answer:
38
Step-by-step explanation:
This looks intimidating, but if we break it into smaller parts, it actually becomes quite easy.
They separated it into different shapes for us, so now we just need to find the area of each individual shape.
The blue rectangle has lengths of 2 and 3. We multiply 2 by 3 to get the area, so the area of the blue rectangle is 6.
We do the same for the orange rectangle. Multiply 4 by 8 to get 32.
Add 32 to 6 and we get 38, the area of the entire shape.
Hope that this helps!
Ps: Happy Birthday!
The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?
Answer:
5 brainliest?
Step-by-step explanation:
Look at the picture for the question
Answer:
c
Step-by-step explanation:
Maggie walks at a constant speed Maggie plots points on the coordinate plane below to show amounts of time it takes her to walk certain distances Miles 20 18 12 Hours 2 How many miles can she walk in 3 hours?
Answer:
(6, 21)
I took this an hour ago
There are 255 calories in 6 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream?
Answer:
2,040 calories
Step-by-step explanation:
6 ounces = 255 calories, so 8 x 255 = 2,040
What is the volume of the prism in cubic inches ?
what is the surface area in square inches ?
Answer:
Step-by-step explanation:
Volume
V = B * h
B = 1/2 a * b
Solution
Area of Triangles = B = 1/2 * 6 * 8
Area of Triangles = B = 24 square inches
Volume = B * H
Volume = 24 * 12
Volume = 288 cu in
Surface Area
Triangles
Area of one triangle = 24 square inches [ See Above ]
Area of two triangles = 48 square inches
Left Side
Area = L * W
L = 12
W = 8
Area = 12 * 8
Area = 96
Right side
Area = L * W
L = 12
W = 6
Area = 12 * 6
Area = 72
Area Back
L = 12
W = 10
Area = 12 * 10
Area = 120
Total = 120 + 72 + 96 + 48 = 336 square inches
Find u+v.
u= (5,1),v = (1,6)
Answer:
<6,7>
Step-by-step explanation:
u is the vector <5,1>
v is the vector < 1,6>
Add the corresponding components
< 5,1> + <1,6> = <5+1, 1+6> = <6,7>
Estimate the value of V70. Show your work and explain.
Answer:
=8.34
Step-by-step explanation
When you break the first step down multiply V2, V5, and V7 you will get V70
g + 19 = 38
Explain how to get the answer pls!
In order to find out what g is equal too,u must subtract 19 from both sides of the equation to get
g +19-19=38-19
the nineteens cancel out getting
g=38 -19
g=19
Jing has $800 to deposit into two different savings account. She will deposit $600 into an account that earns simple interest annually at a rate of 2.75%. She will deposit $200 into an account that earns 2.5% interest compounded annually. Jing will not make any additional withdrawals or deposits. Which amount is closest to the total balance of the two accounts at the end of 3 years?
Answer:
the question answer is A
Step-by-step explanation:
Write the direct variation function given that y varies directly with x, and y = 16 when x = 4.
Answer:
Very little information is given, leaving room to multiple possible functions, however i would expect it to be y = 4x
Step-by-step explanation:
x * z = y
4 * z = 16
z = 16/4
z = 4
Mhanifa please help fast this is due soon
Answer:
1:sin C=21/29
2:sin C=30/50
3:Cos C=36/39
4:cos C=8/17
Step-by-step explanation:
note
Sin angle =perpendicular/hypotenuse
cos angle =base/hypotenuse.
Step-by-step explanation:
1) sinC = 21/29
2) sinC=30/50=3/5
3) cosC = 15/39
4) cosC= 15/17
hope you are already helped.
HELP ASAP. BEING TIMED AND WILL GIVE BRAINLIEST!!!
Draw and upload a box plot representing the following data set: 22,35,18,30,37,20,40,18,38,38,23,19,27,31,34
Answer:
hope this helps you out :)
A coach buys a jersey and a team cup for each of the 10 players on the basketball team. Each team cup costs $16. The coach spends a total of $296 for the jerseys and team cups. Enter an equation that models the situation with u, the cost of one jersey.
please someone explain
Answer:
Cost of each jersey = $13.6
Step-by-step explanation:
Given:
Cost of each team cup = $16
Total amount spend = $296
Total number of team cup = 10
Total number of jersey = 10
Find:
Cost of each jersey
Computation:
Assume;
Cost of each jersey = c
So,
16(10) + (c)(10) = 296
160 + 10c = 296
10c = 296 - 160
10c = 136
c = 136 / 10
Cost of each jersey = $13.6
A plumber has a set fee for a house call and charges by the hour for repairs. The total cost of
her services, in dollars, can be modeled by p(t) = 110t + 85, where t represents the number
of hours the job takes. State the meaning of the slope and y-intercept of this function with
respect to the costs associated with the plumber's services. Please show work
Answer:
slope is the hourly rate of $110/hr
y-intercept is the set fee of 85
(5.2) and slope = -2/5 do you guys know the answer pls help
Answer:
y = -2/5x + 4
Step-by-step explanation
y = -2/5x + b
2 = -2/5(5) + b
2 = -2 + b
4 = b
Answer:
[tex]y=-\frac{2}{5} x+4[/tex]
Step-by-step explanation:
Formula: y=mx+b
m = slope = [tex]-\frac{2}{5}[/tex]
x = 5
y = 2
[tex]2=-\frac{2}{5} (5)+b[/tex]
[tex]2=-\frac{10}{5}+b[/tex]
[tex]2+\frac{10}{5}=b[/tex]
[tex]\frac{10}{5} +\frac{10}{5}=b[/tex]
4=b
b = y-intercept = 4
Plug in all values to complete the formula.
Answer:
[tex]y=-\frac{2}{5} x+4[/tex]
Please help asap... I have no clue how to do this
Answer:
50th term is 164
Step-by-step explanation:
a(n) = 17 + 3(n - 1)
a(50) = 17 + 3(50-1)
a(50) = 17 + 3(49)
a(50) = 17 + 147
a(50) = 164
Que es la desviación estándar?
if 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 4
d. 8
Answer:
here is your correct answer dude
Answer:
I Think B.
Step-by-step explanation:
Im Not But CARRY ON LEARNING
Write 78,500 in scientific notation.
Answer:
The answer is 78.5×10^3
Anita learned that the mass of a baseball being used in a professional game was 142.663 grams. What is the mass of this baseball, rounded to the nearest tenth?
143 grams
142.7 grams
142.66 grams
140 grams
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
142.7 grams
Thanks Hope it helps.The points (12, 23) and (14, 45) lie on a line. What is
the slope of the line?
Answer:
slope= 11
Step-by-step explanation:
(12,23) = (x1,y1)
(14,45) = (x2,y2)
Now,
slope(m)= (y2-y1)/(x2-x1)
=(45-23)/(14-12)
=22/2
=11
Please help it would mean sm :))) I’ll give BRAINLIST
Answer:
113.1 in
Step-by-step explanation:
C = πd
d = 36
C = 36π = 113.1 in
Find the circumference of given circle. Use 3.14 for n
Answer:
B. 43.96
Step-by-step explanation:
The formula for circumference is C = 2 × pi × radius
2( 3.14 ) = 6.28
6.28( 7 ) = 43.96
Hope this helps ^^
Help find the value of x pls I’ll give brainleist.
Answer:
x = 16
Step-by-step explanation:
The two angles are vertical angles
Vertical angles are congruent
That being said we can create an equation
4x - 7 = 3x + 9
now we solve for x
step 1 add 7 to each side
9 + 7 = 16
-7 + 7 cancels out
now we have 4x = 3x + 16
step 2 subtract 3x from each side
4x - 3x = x
3x - 3x cancels out
we're left with x = 16
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
Y
C.
Z
D.
W
The answer should be the first image.
EASY MATH PLEASE HELP!
Most dogs fail to become service dogs. In a recent training class, only 6 of the 15 dogs were certified as service dogs. What percent of dogs became certified service dogs?
Answer:
40 Percent
Step-by-step explanation:
