Answers
V=πr2h
3=π·32·7
3≈65.97345
Related Questions
A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?
Answers
Therefore the answer should be 12ft :)
PLEASE HELP
The filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x.
A. Draw a sketch of this situation. Include the location of the focus in your drawing.
B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place.
Answers
Answer:
A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel
B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches
Step-by-step explanation:
The given equation representing the cross section of the headlight reflector is y² = 6·x
The shape of the reflector = Parabolic
The general equation of a parabola is (y - k)² = 4·p·(x - h)
The focus of the parabola, Focus = (h + p, k)
By comparison to the general equation of a parabola, from the equation of the reflector, we have;
k = 0, h = 0, 4·p = 6
∴ p = 6/4 = 3/2 = 1.5
∴ The focus of the parabola = (1.5, 0)
A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel
B. The depth of the reflector is x = 2 inches
A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively
For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point
At x = 2, we have;
y² = 6 × x = 6 × 2 = 12
∴ y = ±√(12)
The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)
The width of the parabola, w = y₁ - y₂
The width of the parabola at x = 2, w = √(12) - (-√(12))
∴ w = √(12) +√(12) = 4·√3
The width of the parabola at x = 2, w = 4·√3 inches
The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches
By giving the answer as a decimal and rounded to the hundredths place, we have;
The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.
A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? How much flour is left over after 8 days?
Answers
Answer:
She uses 8.52 kgs of flour in 8 days
There are 6.48 kgs of flour left over after 8 days.
Step-by-step explanation:
First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.
1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.
Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.
15 - 8.52 = 6.48 kgs.
The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle
Answers
Answer:
Length of Rectangle is 3 cm less than twice the width
Area is 44 m2 ; let W = width; 2W - 3 = Length
Arect = L times W
44 = W ( 2W - 3 )
44 = 2W2 - 3W
0 = 2W2 - 3W - 44
Factoring
0 = ( 2W - 11 )( W +4)
2W - 11 =0 ; W + 4 = 0
W = 11/2 W = -4 (width can not be a negative number)
Therefor: width is 11/2 and length is 8
6x - 12 = 84
x = ?
find x
Answers
Answer:
x=16
Step-by-step explanation:
Answer:
6x-12=84 x=16 hope that helps
Step-by-step explanation:
6x-12=84x
+12 +12
6x=96
then you divide 6 by 96 and thats how you get 16
Find the areas of the trapezoids
Answers
Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²
Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?
Answers
Answer:
L = 10m
And, W = 20m
Step-by-step explanation:
The computation is shown below:
Given that
2L + W = 40 m
Also we know that
Area = Length × width
= L × ( 40 - 2L)
= 40L - 2L^2
= -2(L^2 - 20L)
= -2(L^2 - 20L + 100 - 100)
= -2(L^2- 20L + 100) + 200
= -2(L - 10)^ + 200
So
L = 10m
And, W = 20m
Movie tickets are $4 for regular admission and $3 for seniors. On a night where there were 190 people and total sales of $720 how many regular admission tickets were sold?
A. 50
B. 150
C. 40
D. 140
Answers
write two equations
r+s=190
4r+3s=720
solve by substitution
the get r=150 s=40
Answer:
150
Step-by-step explanation:
So if we rearrange the second equation we can get:
s = 190 - a
Now we substitute this into the first equation:
4a + 3(190 - a) = 720
4a + (570 - 3a) = 720
4a + 570 - 3a = 720
4a - 3a = 720 - 570
a = 150
What’s the slope (rate of change) for the red?
Answers
I know the answers to this problem. I will give brainiest to the first one who ANSWER IS CORRECT.
255 X 35 X 97 X 56 ÷ 2
Answers
Answer:
24240300
Step-by-step explanation:
multiply the numbers thand divide by 2.
Each piece of cardboard is 0.3 centimeters thick. If Tyler stacks 5 pieces of cardboard on top of one another, how thick will the stack be?
Answers
Answer:
1.5 inches thick
Step-by-step explanation:
A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.
Answers
Answer:
9/10 divide by 1/5
4 1/2 cups
Step-by-step explanation:
Serving of dried fruits = 1/5 cups
Bag of dried fruits = 9/10 cups
Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits
= 9/10 ÷ 1/5
= 9/10 × 5/1
= (9* 5) / (10 * 1)
= 45/10
= 4 5/10
= 4 1/2 cups
9/10 divide by 1/5
guyssss ANYONEEE PLSSS!!!!!I NEED HELP LIKE ACTUALLY
Answers
Answer:
infinite number of solutions
the answer of √ 9+4√5 is?
Answers
Answer:
3 + 4√5 or 11.94
Step-by-step explanation:
√ 9+4√5
√9 = 3
3 + 4√5
48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet
Answers
Answer:
D. 29.5 feet
Step-by-step explanation:
1) First you use the pythagorean theorem a^2+b^2=c^2
2) 26^2+14^2=c^2 The wire is the hypotenuse.
3) Simplify the equation. 676+196=c
4) 872=c
5) Find the square root of 872 and round to the nearest tenth.
6) Your answer is 29.5 feet.
Hope this helps!
Justin conducted a survey to find out people's favorite sport and recorded the results below. If Justin were to survey a total of 250 people, how many would you predict would name basketball?
Answers
Answer:
100 people
Step-by-step explanation:
In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.
20 / 50 = 0.40 ... multiply by 100 to get percentage
0.40 * 100 = 40%
We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...
250 * 0.40 = 100
Finally, we can predict that 100 people would most likely answer basketball.
I need help please! I don’t understand.
Answers
A number s divided by 2
Answers
Answer:
s/2 is the equation
Step-by-step explanation:
Ming took a cab across town. His fare was $22, and he leaves an 18, percent tip.
What is the total amount Ming pays the cab driver?
Answers
Answer:Ming pays $25.96 to the cab driver.
Step-by-step explanation:
Ming took a cab across town, his fare of cab = $22.00
He leaves a tip of 18% of total fare = 18% of $22.00
Total amount = (18% of $22) + $22.00
( 18/100× 22) + 22.00
= (0.18 × 22) + 22.00
= 3.96 + 22.00
= $25.96
Ming pays $25.96 to the cab driver.
The price of an item has been reduced by 5%. The original price was $20. what is the price of the item now?
Answers
Answer:
I think its 19
Help me please I will give Brainiest answer
Answers
Answer:
A= 1,0 B=0, -3 C=-6, 5 D= -3, -5
use exterior angle measures to solve for h
Answers
Answer:
h = 125
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
h = 63 + 62 = 125
please help!! area of parallelogram
Answers
for brainiest:):):):):):):):):):):)
Answers
Answer:
34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.
I’m about to spam questions if you can answer them please do .
Answers
Answer:
x is 70
Step-by-step explanation:
hope this helps you
PLS HELP ASAP Find the volume of the hemisphere. Round to the nearest tenth.
the hemisphere ft(or radius i guess) is 4
Answers
Answer:
If the radius is 4, then:
Volume = 1/2(4/3)(π)(r³) = 1/2(4/3)(3.14)(4³) = 134.0 ft³
if a cone has a volume of 28.63 and a diameter of 4.5 what is the height
Answers
Answer:
height = 5.4 units
Step-by-step explanation:
r = 4.5/2 = 2.25
B = πr² = 3.14(2.25²) = 15.90
V = 1/3Bh
28.63 =1/3(15.90)h
85.89 = 15.90h
h = 5.40 units
Help me fast please
Answers
Answer:
I think the answer is
Step-by-step explanation:
50 feet tall
6/8=x/48
Cross multiply
x=36
The answer is 36
To check: 3/4=.75
36/48=.75
What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers
Domain: x > –2; Range: y > –2
Domain: x < –2; Range: All real numbers
Domain: All real numbers; Range: y > –2
Answers
Answer:
Domain: All real numbers; Range: y > –2
Step-by-step explanation:
The function can take every x value, but does not reach values less than -2.
Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.
Step 1:
Substitute x = negative 1 and y = 2 into the expression.
(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3
Step 2:
Simplify the parentheses.
(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3
Step 3:
Evaluate the power to a power.
StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFraction
Step 4:
Use reciprocals and find the value.
StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFraction
In which step did Rena make the first error?
Answers
Answer:
c) Step 3
Step-by-step explanation:
Answer:
Its D
Step-by-step explanation:
the person above me is wrong :)