A.) What is the exact surface area of the container with a radius of 9 in and a height of 36 in?
Answers
h = 36
Pp = ?area of a circle
l = ? surface of the wheel
Pb = lateral surface
Pc - total surface
Pp = πr² = 9²*π = 81π (unit²)
l = 2πr = 2*9*π = 18π (unit)
Pb = l*h = 18π * 36 = 648 π(unit²)
Pc = 2Pp + Pb = 2* 81π + 648π = 162π + 648π = 810π(unit²)
Answer total area equal to 810π (unit²)
I will put the SA formula for btoh
SAcylinder=2pir^2+2hpir
2pir^2=2 bases
2hpir=around area
r=9
h=36
SA=2pi9^2+2*36pi*9
SA=2pi81+72pi9
SA=162pi+648pi
SA=810pi
aprox pi=3.141592
SA=2544.68952 in^2
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Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30o. The balloon rises 50 meters. Now the angle of depression to the car is 35 degrees. How far is the car from point P?
I need all the answers to question 2 PLEASE HELP ITS URGENT ILL MARK U AS BRAINLISY
The graph of a function never has two different points with the same x-coordinate because.. A. the graph of a function cannot be a straight line. B. each input value is mapped to a single output value. C. each input value is mapped to more than one output value. D. the graph of a function is a vertical line.
Answers
To find the vertical asymptotic equations of the rational function, we must first find the points of intersection of the function with the x-axis. These points are the solutions of the equation f(x) = 0. We decompose the exponential function into the product of two expressions: f(x) = (x² + 9x)(x² - 2x - 15) Now we can set each of the expressions inside the parentheses equal to zero and solve the vertical asymptotic equations: x² + 9x = 0 or x² - 2x - 15 = 0 To solve the first equation, we can factor x out: x(x + 9) = 0 So the two vertical asymptote equations are x = 0 and x + 9 = 0 (that is, x = -9). To solve the second equation, we can use the analysis method or the quadratic formula. Using the analysis method, we can decompose the expression x² - 2x - 15 in the following form: (x - 5)(x + 3) = 0 Therefore, two vertical asymptote equations equal to x - 5 = 0 (that is, x = 5) and x + 3 = 0 (that is, x = -3). So the vertical asymptotic equations of the rational function f(x) = (x² + 9x)(x² - 2x - 15) are equal to x = 0, x = -9, x = 5 and x = -3.
Answers
Answer:
The minute hand covered 120 degrees
Step-by-step explanation:
Minute hand completes 1 round in 60 minutes
1 round =
So, The minute hand covered degrees in 60 minutes =
The minute hand covered degrees in 1 minute
Phillip watched a beach volleyball game from 1 P.M. to 1:20P.M.
So, He watched it for 20 minutes
So,The minute hand covered degrees in 20 minutes =
Hence The minute hand covered 120 degrees
The volumes are equal, because the bases are congruent.
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
The volumes are not equal, because their horizontal cross-sectional areas are not the same at every level.
Answers
Answer:
The correct option is 2.
Step-by-step explanation:
Given information: Height of both prism are same.
Right rectangular prism has base dimensions of 3 inches by 12 inches.
Volume of a right rectangular prism:
where, B is base area and h is height of the prism.
The volume of right rectangular prism is
Therefore the volume of right rectangular prism is 36h cubic inches.
An oblique rectangular prism has base dimensions of 4 inches by 9 inches.
Volume of a oblique rectangular prism:
where, B is base area and h is height of the prism.
The volume of right rectangular prism is
Therefore the volume of oblique rectangular prism is 36h cubic inches.
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
Option 2 is correct .
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
How to find the volume of the prism?
The formula for the Volume of a right rectangular prism is:
V = B * h
where,
B is base area.
h is height of the prism.
Thus:
V = 3 * 12 * h
V = 36h
Similarly, the volume of the oblique rectangle is:
V = Bh
V = 4 * 9 * h
V = 36h
Thus, we can see that the volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
Read more about Volume of Prism at: brainly.com/question/23766958
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Answers
B. 12
C. 21
D. 28
Answers
divisblle by 14 means divisble ty 2 and 7
therefor the number is divisble by 2,3 and 7
test
A. 8 is not divible by 3
B. 12 is not divisble by 7
C. 21 is not divisble by 2
C. 28 is divisble
answer is D
Answers
Length=17 feet
Width=10 feet
As we know that the table will be in rectangular shape.
So, Area of table= 10 feet × 17 feet
170 squared feet.
A/Q,
Cost of 1 square feet table =16($ or any unit of currency)
Cost of 170 square feet= 16×170($)
2720($)
Now looking at the dimensions, we can assume it is rectangular in shape and therefore the formula of the area of a rectangle is:
Area = length × width
(length = 17 ft (longest side) and width = 10 ft)
1st step: Substitute the dimensions in the formula:
A = L × W
= 17 × 10 (order doesnt matter!)
= 170 ft²
Coming to the cost, 1 ft² costs 16 (lets keep it £, or €, or $, since the unit is not provided)
2nd step: We multiply the area by the cost to find the total amount!
(Because every squared feet is 16 and therefore we conclude with this formula)
Cost = 170 ft² × 16£
= £2,720
Ronnie will have to pay £2,720 (or any other currency units)