Answer:
192 km²
Step-by-step explanation:
Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism
✔️Base Area = ½*bh
b = 6 km
h = 8 km
Base area = ½*6*8 = 24 km²
✔️Perimeter of base = 6 + 8 + 10 = 24 km
✔️Height of prism = 6 km
Plug in the values into the equation:
Surface area = 2(24) + 24*6 = 48 + 144
Surface area = 192 km²
Rotate the vector (3,-2) 90°
counter-clockwise about the
origin.
If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Convert the cartesian coordinate to the polar coordinate. Then we have
[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]
Then 90° counter-clockwise about the origin, then the angle will be
θ = 326.31 + 90 = 431.31
But θ is from 0 to 360. Then
θ = 431.31 - 360 = 56.31
Then convert the polar coordinate to the cartesian coordinate. Then we have
x = r cosθ
x = 3.61 × cos 56.31
x = 2
and
y = r sinθ
y = 3.61 × sin 56.31
y = 3
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
Answer:
-2,-3
Step-by-step explanation:
y=6x^2-12x-1 minumim function value
Answer:
(−1,5)
Step-by-step explanation:
hope this helpes
Answer:
Step-by-step explanation:
Write the quadratic equation in standard form 3x+x^2=11-3x^2
Riley purchased a 30-day International cell phone plan for use during winter break. There is a one-time fee of $35 and it includes 150 MB of data usage. Each extra megabyte,
or part thereof, of data costs $0.28. Find the cost of the plan if he uses 388 MB of data during the trip.
Answer:
the cost of the plan in the case when 388MB is used is $101.64
Step-by-step explanation:
The computation of the cost of the plan in the case when 388MB is used
Given that
One time fee is $35
And, it involves 150 MB of data usage
Also for the extra megabyte it charges $0.28
So for 388MB, the cost of the plan is
= $35 + 0.28 × (388 MB - 150 MB)
= $35 + $66.64
= $101.64
Hence, the cost of the plan in the case when 388MB is used is $101.64
Find the circumference of the circle. Round to the nearest hundredth.
Help pls............. Will choose brainliest
Answer:Its D enjoy =)
what is the median of the set of numbers?
Answer:
C. 11
Step-by-step explanation:
HELP PLEASE!!! Find an equation of a line through (√3,12) parallel to the line:
a) x= -9
and the line
b) y= -√7
Answer:
just put like what oh yea put 72
For every four female students in a training class, there are two men. There are seven male students. What is the total number of students in cass?
Answer:
it may be 19 or 20 but I may be wrong
Step-by-step explanation:
sorry if I'm wrong
The height of a plant in centimeters is recorded each day for 10 days. The function y = 1.73x + 1.87 is determined to
be a good fit for the data. On day 6 the recorded height was 12.5 cm. How close is the predicted height to the actual
height of the plant (the residual)?
15 points
Answer: 0.25 cm
Step-by-step explanation: The function y = 1.73x + 1.87 is used as a prediction. Since the answer is asking for how close the predicted height to the actual height is on day 6, we substitute 6 for x.
The function becomes like this:
y = 1.73(6) + 1.87
y = 10.38 + 1.87
y = 12.25
y = 12.25 cm is the predicted height on day 6. The actual height on day 6 recorded is 12.5 cm. We subtract the predicted height from the actual height and get 0.25 cm.
Please help me! I really don't understand this.
Answer:
B
Step-by-step explanation:
x is less than -1 and the point is on -1.
Use powers of 10 to complete the table of equivalent expressions.
Answer:
1. 10^7
2. 10^-3
3. 10^-1
4. 10^2
Drag each equation to the value that makes it true.
Answer:
5h=60 needs to go in the last one
Step-by-step explanation:
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
vertex is 1, -6
Step-by-step explanation:
Express log6 (15) in terms of common logarithms *no file answers*
Find the 201st term of the arithmetic sequence with a4= -2 and as = 46
9648
2362
2398
2410
Answer:
2362 ...........................
76 is what percent of 475?
Answer:
361
475*76%=361
Hope this helped you out!!
Answer:
16
Percentage Calculator: 76 is what percent of 475? = 16.
Step-by-step explanation:
Answered by none other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!
Hope this helped!!
Which of the following exponential functions represents the graph below?
Answer:
d
Step-by-step explanation:
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
POQ AND KLJ
They are the only alternate exterior angles
Digital Plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month.After introducing a new process for manufacturing this year, the company was able to produce 32,000 cameras each month. By what percent did production increase?
Answer:
28%Step-by-step explanation:
Increase of production:
32000 - 25000 = 7000Percent increase:
7000/25000 * 100% = 28%Total increase
32000-250007000Percentage
7000/25000(100)0.28(100)28%Micah and Lucy are in the school play.
Micah memorizes 12 lines of the script the first day and 10 lines each day after that.
Lucy memorizes 8 lines of script the first day and 12 lines each day after that.
What ordered pair represents the total number of lines they have memorized after 5 days?
(12, 8)
(40, 48)
(50, 60)
(52, 56)
Answer:
(52,56)
Step-by-step explanation:
Howdoyouwrite
63
100
as percentage?
Answer:
Do you mean 63 over 100? If it you mean that the answer is 63%
As the city planner of Right City, you are responsible to report information to help the Board of Supervisors make decisions about the budgets for the fire and police departments. The board has asked for a report with answers to the following questions. Each grid unit in the figure at right represents 1 mile. For fire safety, bushes will be cleared along the perimeter of the city. What is the length of the perimeter? Include all of your calculations in your report. Is there a way to determine if the triangle is a right triangle or not?
Answer: I took a screen shot hope it helps
Step-by-step explanation:
HELP!!!
What is the volume of the square pyramid, in cubic inches?
Answer:648
Step-by-step explanation:
V=a2h
3=92·24
3=648
Answer:
648 in.^3
Step-by-step explanation:
V = (1/3)Bh
V = (1/3)(9 in.)^2(24 in.)
V = 648 in.^3
A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
Angel has worked a certain number of hours on Monday. On Wednesday she worked 2 hours more than triple of the hours of Monday. In total she worked 18 hours. How many hours has she worked each day? Write and use an equation involving a variable to solve this problem.
Answer:
Monday - 4 hours
Wednesday - 14 hours
Step-by-step explanation:
'h' = hours worked on Monday
'2 + 3h' = hours worked on Wednesday
h + 2 + 3h = 18
4h = 16
h = 4 (Monday)
18 - 4 = 14 (Wednesday)
Please help me i have no clue what the answer is :?
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
I will mark branliest if correct
Answer:
I believe it would be 1
Step-by-step explanation:
To complete an English exam, you must write 3 essays from a list of 7 prompts. In how many ways can you complete the exam?
Answer:
35 ways
Step-by-step explanation:
7 nCr 3 = 7!/(3!(7-3)!) = 7!/(3!*4!) = 35
Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries.
Answer:
The unit rate is $1.99. The price of eight pounds of strawberry $15.92.
Step-by-step explanation:
To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.
Answer:
$15.92
Step-by-step explanation:
First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!