Answers
Answer:
15π/2 ft
Step-by-step explanation:
Arc length is given by the formula ...
s = rθ . . . . . r = radius; θ = central angle in radians
A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...
s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft
Related Questions
A gardener has a flower pot that he wants to fill with dirt. The flower pot has a radius of 8 cm at its opening and a radius of 7 cm at its base. The flower pot has a height of 10 cm.
Part A:
Provide an estimate for the amount of dirt, in cubic centimeters, that the gardener will need to completely fill the flower pot.
Part B:
Explain how you determined your answer.
Answers
Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].
Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.
The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]
where
[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]
substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]
the approximate volume of the frustum is [tex]1769cm^3[/tex]
Learn more about the volume of a frustum here: https://brainly.com/question/14177094
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answers
Answer:
3/5
Step-by-step explanation:
Write an expression that is equivalent to -3(2x+5)-3x+6
Answers
Answer:
-9x - 9
Step-by-step explanation:
Combine like terms.
-3 • 2x= -6x. -3 • 5= -15
-6x - 15 - 3x+ 6
-9x - 9
Make
q the subject of p=6q +7
Answers
To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
How to write an equation in the subject of a variable?To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.
The expression given in the problem is,
[tex]p=6q +7[/tex]
This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,
[tex]p+7=6q +7-7\\p+7=6q[/tex]
Divide both side of equation with number 6.
[tex]\dfrac{p+7}{6}=q[/tex]
Rewrite the equation as,
[tex]q=\dfrac{p+7}{6}[/tex]
Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
#SPJ1
Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?
Answers
Answer:
4 of each, 8 pumpkin bags, 7 banana bags
Step-by-step explanation:
4 is the GCF of 32 and 28.
Divide each number by 4
Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest
Answers
Select the correct answer.
Why do the hands on the clock form an angle?
OA.
The hands lie in the same circle.
OB.
The hands are two line segments that share the same endpoint.
Oc.
The hands are two line segments that are perpendicular to one another.
OD.
The hands lie in the same plane.
Answers
Answer:
Step-by-step explanation:
The hands are two line segments that share the same endpoint.
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answers
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
Find the measures of the interior angles of the triangle,
Answers
Answer:
Angle B = 88
Angle C = 44
Step-by-step explanation:
X+48+(X-44)=180
Subtract 48 from both sides
X+48-48+(x-44)=180-48
X+(x-44)=132
2x-44+44=132+44
2x= 176
X=88
Angle A=48
Angle B =88
Angle C=44
(88-44)
88+44+48=180
Answer:
∠A = 48°
∠B = 48°
∠C = 84°
Explanation:
For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°
Then you do, 180° - 96° to get 84°
So ∠C would be 84°
Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?
Answers
Answer
320
Step-by-step explanation
150 + 10 = 160
160 * 2 because it said than half the amount he received last year = 320!
[tex]\sqrt{\frac{15}{6} }[/tex]
Simplify, and show work please :D
Answers
Hello! :p
Simply 15/6 to 5/2 = [tex]\sqrt{5/2}[/tex]
2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]
3. rationalize the denominator so 5/2 times 2/2 [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]
4. Simply [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]
answer: [tex]\sqrt{\frac{10}{2} }[/tex]
Hope this helps! Have a wonderful day1 :)
Sorry, I had a hard time finding all the symbols, so I had to get creative!
Pleaseeeeee help
And THANK YOU
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex]a.) \: \: \: \: \frac{36}{5} [/tex]
[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]
refer to the attachment for explanationhope it helps
Answer:
A= 7 1/5
D= -7 1/2
Step-by-step explanation:
Hope this helped!
This is in mixed form btw
inproper fraction:
A= 36/5
D: -15/2
The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?
Answers
Answer:
$4,608.00
Step-by-step explanation:
Subtract 36% from 7,200 and you get 4,608.
Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?
Answers
Answer:
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Answer
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
N/2-11<-7 solve the 2 step inequality
Answers
Answer:
N<6
Step-by-step explanation:
Add 11 to both sides then multiply by 2
Use difference tables to determine whether the data represents a linear or quadratic relationship.
Answers
Answer:
Its not linear
Step-by-step explanation: Linear means it travels in a perfect line
Evaluate the expression to find out how much she will pay if she drives 100 miles.
250 + 0.80m
Answers
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answers
Answer:
88
Step-by-step explanation:
1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??
Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .
Answers
Answer:
[tex]to \: know \: the \: answer \: [/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you XD ✌️Carry on learning !!If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Answers
Answer:
$200
Step-by-step explanation:
If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.
By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap
Answers
[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. What is the probability of event B? 0. 09 0. 20 0. 27 0. 62.
Answers
Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
[tex]\mathbf{P(A) = 0.48}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]
To calculate the probability of event B, we make use of the following formula
[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]
So, we have:
[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]
Collect like terms
[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]
[tex]\mathbf{P(B)= 0.62}[/tex]
Hence, the probability of event B is 0.62
Read more about probabilities at:
https://brainly.com/question/11234923
If 8.4 million baby boomers out of a total 76 million baby
boomers have already retired, what percentage of this
group will retire in the next 20 years? Round to the
nearest whole percent.
Answers
Answer: Undefined: Needs more data
Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?
A BRANLIST PLEASE HELP MY HEAD HURTS ....MATH
Answers
Answer: I think it might be negative
Step-by-step explanation:
please help me quickly
Answers
Answer:
D
when you look at it it is upside down so d is the right answer
Its very hard so brainly is very helpful
Answers
Answer: What question do you need help with?
Answer:
do u eat cat litter
Step-by-step explanation:
Given the graph below. What is the axis of symmetry (vertex)of the parabola?
Answers
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
5/9 + n = 2/3
What does n equal?
A. 1/3
B: 1/9
C: 2/9
D: 4/9
Answers
Answer:
n = 1/9Step-by-step explanation:
5/9 + n = 2/3=> 5/9 + n = 6/9=> n = 1/9Conclusion:
Therefore, n = 1/9
Hoped this helped.
[tex]GeniusUser[/tex]
What does n equal?
A. 1/3
B: 1/9
C: 2/9
D: 4/9
Answer:
Is 1 1/30 more or less then 1 1/2 gallons
Answers
Answer:
less
Step-by-step explanation:
Can i have help with these two problems.
Answers
Answer:
(11/7)x + (3/7)y
Step-by-step explanation:
Perform the indicated multiiplication. We get:
(6/7)x - (2/5)y + (5/7)y + (5/7)x
Now combine like terms, obtaining: (11/7)x + (3/7)y
An alternative expression would be (1/7)(11x + 3y)