Answer:
Volume of the given cone is 1107.6 cubic feet.
Step-by-step explanation:
Formula to get the volume of a right circular cone is,
V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
Now we put the values in the given formula
Volume = [tex]\frac{1}{3}\pi (8.6)^2(14.3)[/tex] [ radius = [tex]\frac{17.2}{2}=8.6[/tex] ]
= [tex]\frac{1057.628\pi }{3}[/tex]
= 1107.55
≈ 1107.6 cubic feet
Therefore, volume of the given cone is 1107.6 cubic feet.
Answer:
146.6 ft3
Step-by-step explanation:
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length
Answer:
2x+2(x+5)) = 24
Step-by-step explanation:
2x+ 2(x+5) = 24
x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
69.8%
Step-by-step explanation:
The weekly interest rate is computed using 52 weeks a year as per standard investment practice.
FV=PV*(1+r/52)^n*52
FV is the future value of $2000
PV is the present worth of $1,000
r is the unknown
n is the number of years which is 1
2000=1000*(1+r/52)^1*52
divide both sides by 1000
2000/1000=(1+r/52)^52
divide the index of the both sides by 52
(2000/1000)^(1/52)=1+r/52
1.013418991 =1+r/52
r/52=1.013418991 -1
r/52=0.013418991
r=0.013418991 *52=69.8%
Answer:
4%
Step-by-step explanation:
not really sure if thats right but i hopes it helps
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
A bag of marbpes contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marbpe. What is the probability of reaching into the bag and selecting a yellow marble
Answer:
1/6 or 1.6666666
Step-by-step explanation:
12 marbles, 2 yellow
12/2= 6
1/6
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
11(4t + 1) what is the answer
Answer:
44t + 11
Step-by-step explanation:
11(4t + 1)
Distribute 11 amongst the values inside the parenthesis
11(4t) + 11(1)
Multiply
44t + 11
Hope this helps :)
Answer:
[tex]44t + 11[/tex]
Step-by-step explanation:
[tex]11(4t + 1) \\ = 44t + 11[/tex]
what is absolute diviation
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation:
Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *
Answer:
8N-2=33+N
Step-by-step explanation:
Find the area
Please help me thank you!
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
What happens to the parabola when a<1 compared to the parent function?
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?
Answer:Perimeter, 50ft
Step-by-step explanation:since it is around the answer is 50 ft
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
Answer:
[tex]\frac{7}{16}[/tex]
Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.
So, since the total is 16, this will be the denominator, and the 7 will be the numerator.
So, it will be [tex]\frac{7}{16}[/tex]
Solve
8- (2x - 9) = 17 - 2x
Nchey
Answer: Infinite solutions
Step-by-step explanation:
[tex]8-(2x-9)=17-2x[/tex]
Begin by distributing the negative into the parenthesis.
[tex]8-2x+9=17-2x[/tex]
Combine like terms;
[tex]17-2x=17-2x[/tex]
Subtract 17
[tex]-2x=17-17-2x[/tex]
[tex]-2x=-2x[/tex]
Add 2x
[tex]-2x+2x=0\\0=0[/tex]
Equation: 8 - (2x - 9) = 17 - 2x
First, we distribute the - sign.
8 -2x + 9 = 17 - 2x
Then, we combine like terms if there any on both sides.
17 - 2x = 17 - 2x
Now, we can see the equations are equal to each other.
However, we can go a step further and solve for x.
17 - 2x = 17 - 2x
Subtract 17 from both sides.
-2x = -2x
Divide both sides by -2.
x = x
Therefore, x has no value or is 0.
The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?
find interest and subtract it from 30,000
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
Identify the measure of arc HD◠.
The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
We have,
In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.
Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.
The intercepted arc closest to angle DRL has a measure of 18 degrees.
Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.
The measure of this arc is given as 102 degrees.
Therefore,
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
Learn more about arc lengths here:
https://brainly.com/question/16403495
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Which expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
help and thanks!!
Answer:
1/6
Step-by-step explanation:
If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)
1/3*1/2= 1/6
Answer:
The answer is 1/6
Step-by-step explanation:
This is because the dice has 6 sides so the possibility of getting a even is 1/6
I need this answer please tell me the answer
Answer:
less than
[tex]1 \frac{1}{2} [/tex]
I believe
a. 9
b. 10
c. 16
d. 17
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
Help me answer this question pls
I believe it's a scalene triangle.
We could mark that ME = d, where d= diamater.
For segment TE, we can tell it is different length then all of the other lines.
Now, would MT be equivalent to ME in length? No. I can tell that segment MT is a tiny bit shorter than ME.
Why? If we look at line TE, we can tell that it is not perfectly horizontal; it is slanted to the left. By logic, we can deduce that because the left slant brings T ever so closely to M, there is a shorter distance between M and T than M and E.
If none of the sides are the same length, the triangle is scalene.
If you are able, I'd really appreciate a rating, or if you have questions, I'd be happy to answer.
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.