Answer:
C and A
Step-by-step explanation:
Step 5 is to ( C ) take the Square root of both sides
The radius of the cone is ( A ) 2 inches
The radius of the cone is 2 inches.
The volume of cone:The volume of a cone is determined by the amount of space occupied by the cone. A three-dimensional figure having a single circular base is known as a cone. The base and the vertex are connected by a curved surface. A cone with a radius of r has a volume V that is one-third the area of the base B times the height h.
[tex]V=\frac{1}{3} \pi r^{2} h[/tex] or [tex]V=\frac{1}{3} Bh[/tex],
Since, [tex]B=\pi r^{2}[/tex]
How to determine the volume of cone?Given that the volume of cone V is 48π cubic inches and Height of the cone h=36 inches.Volume of cone [tex]V=\frac{1}{3} \pi r^{2} h[/tex] -------1
Here, the base of the cone is circular in shape and the area of circle is [tex]\pi r^{2}[/tex]. Consider [tex]B=\pi r^{2}[/tex]
Substituting the area of base in the equation (1).
[tex]V=\frac{1}{3} \pi r^{2}[/tex]
[tex]= \frac{1}{3} Bh[/tex]
Substitute the given values in the equation (1).
⇒ [tex]48\pi =\frac{1}{3} \pi r^{2} 36[/tex]
⇒ [tex]\frac{48\pi }{36\pi } =\frac{r^{2} }{3}[/tex]
⇒ [tex]\frac{12(3)}{9}=r^{2}[/tex]
⇒[tex]4=r^{2}[/tex]
⇒ [tex]r=2[/tex]
Thus, the radius of the cone is 2 inches.
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Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
SR
Step-by-step explanation:
A set of electric toothbrush prices are normally distributed with a mean of 87 8787 dollars and a standard deviation of 8 88 dollars. What proportion of electric toothbrush prices are between 104.60 104.60104, point, 60 dollars and 108.20 108.20108, point, 20 dollars?
Answer:
.0099
Step-by-step explanation:
right answer
The proportion of exam scores are between 82 and 89.2 points is 0.3330.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
mean = 87 points and
standard deviation = 8 points.
Now, using
Z= [tex]x- \mu / \sigma[/tex]
z= 104.6 - 87 / 8
z= 2.2
again, Z= [tex]x- \mu / \sigma[/tex]
z= 108.2- 87 / 8
z= 2.65
So, the proportion is
P(x<108.20)-P(x<104.60)
=P(Z<2.65)-P(Z<2.2)
= 0.9960-0.9861
=0.0099
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What is the approximate volume of the cone? Use 3.14 for π. Right cone with radius of 9 centimeters and height of 15 centimeters. 3815 cm3 848 cm3 1272 cm3 6359 cm3
Answer: [tex]1272cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2\frac{h}{3}\\ V=(3.14)(9)^2(\frac{15}{3} )\\V=(3.14)(81)(5)\\V=1271.70cm^3\\V=1272cm^3[/tex]
The probability of rolling a 3 with a single six-sided die is 1/6. The probability of rolling
a 5 on a single six-sided die is 1/6. Thus the probability of rolling a 3 and then a 5 on
back to back rolls of a six-sided die is 1/6 x 1/6 = 36.
We can perform this calculation
because rolling a 3 and then a 5 are known as a ________ event?
Find the blank answer!
Answer:
3625
Step-by-step explanation:
Solve the system of equations :
2x -5y=-22
X+7y=27
Answer:
X = -1 Y = 4
Step-by-step explanation:
Put the 7y over so it is 27-7y
after that you fill in the x on the top formula with (27-7y)
From there you solve like normal for Y, which ends out being 4.
Once you have that you can plug 4 into the Y spot in the bottom formula and just solve for X
:3
Find the missing height of the cone. Volume= 118π ft3 Diameter= 2/3
Answer:
11 ft
Step-by-step explanation:
The equation for the volume of a cone is:
V = 1/3(3.14)r^2h
V = 414.48
r = 6
Plug in those values and solve for h:
414.48 = 1/3(3.14)(6)^2h
414.48 = 37.68h ; divide both sides by 37.68
11 = h
The missing height is 11ft.
Find the exact length for the third side
Answer:
12
Step-by-step explanation:
Pythagorean theorem
a²+b²=c²
a²+35²=37²
a²+1225=1369
manipulate the equation
1225-1369=-a²
-144=-a²
√-144=12
a=12
Question 2 of 10
2 Points
Based on the housing data below, use linear regression to estimate a fair
price for a 1700 ft2 home.
Square F
Feet
|
2156
2040
20
2050
House Price
in thousands)
210
200
A. $180,000
O B. $175,000
C. $156,000
oo -
D. $190,000
DUS
Answer:
C. $176.000
Step-by-step explanation:
Linear regression requires sufficient data points for analysis, which are not provided, making it impossible to calculate an estimated price for a 1700 ft2 home without additional information.
Explanation:To estimate a fair price for a 1700 ft2 home using linear regression, we would require more data points with corresponding house prices to create a regression model. Since we're not provided with sufficient data in the question, and there's no explicitly provided regression equation or coefficients, it's not possible to accurately calculate the estimated price for a home of a given square footage using linear regression. However, if we had such data, we would typically plot square footage on the x-axis and house price on the y-axis, calculate the slope and intercept coefficients of the regression line, and then use the regression equation y = mx + b (where y is the estimated house price, m is the slope, x is the square footage, and b is the y-intercept) to predict the price of the house with given square footage
Need help ASAP please and thank you
Answer:
[tex]-3m^{12}{n^{6} }[/tex]
Step-by-step explanation:
To begin simplifying this, we can first divide the coefficients, giving us:
[tex]\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }[/tex]
We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:
[tex]\frac{-3m^{5+7} n^{4+2} }{1}[/tex]
Now, simplifying this gets:
[tex]-3m^{12}{n^{6} }[/tex]
what is the surface area of the rocket?
Answer:
Thus, the surface area equals S(r)=πr2+2πrl+πr54r=πr2(1+54)+2πr(14r2−r4)=94πr2+28πr−π2r2=74πr2+28πr.Jul 15, 2016
Step-by-step explanation:
What is the measure of 2 В?
ОА. 75°
ОВ. 25°
Ос. 60
O D. Cannot be determined
Help!!!!
Answer:
с. 60
Step-by-step explanation:
This is an equilateral triangle since all the sides are the same.
That means all the angles are the same.
The sum of the angles is 180
There are 3 angles
180/3 = 60
Each angle is 60 degrees
A skiing event has 13 participants for the slalom. The 5 participants with the fastest speeds will be listed, in the order of their speed, on the leader board. How
many different ways are there for the names to be listed?
There are 154,440 different ways for the names of the top 5 participants to be listed on the leaderboard.
To determine the number of ways the names can be listed for the top 5 participants on the leader board, you can use the concept of permutations. The formula for permutations is:
[tex]\[ P(n, r) = \frac{n!}{(n - r)!} \][/tex]
where [tex]\( n \)[/tex] is the total number of items and [tex]\( r \)[/tex] is the number of items to be selected.
In this case, you have 13 participants, and you want to select and order the top 5 participants. So, the formula becomes:
[tex]\[ P(13, 5) = \frac{13!}{(13 - 5)!} \][/tex]
Now, calculate the permutations:
[tex]\[ P(13, 5) = \frac{13!}{8!} \][/tex]
[tex]\[ P(13, 5) = \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8!}{8!} \][/tex]
[tex]\[ P(13, 5) = 13 \times 12 \times 11 \times 10 \times 9 \][/tex]
Now, calculate the result:
[tex]\[ P(13, 5) = 154,440 \][/tex]
So, there are 154,440 different ways for the names of the top 5 participants to be listed on the leader board.
23/12
4
+63 rational or irrational?
Answer:
irrational :)
Step-by-step explanation:
Two-fourths cup of water is how much in ounces?
Answer:
4 fluid ounces
Step-by-step explanation:
question is worded a little weird
Upon hitting a bat, a baseball has a change in momentum of 16.5 kg-ms. What is the average
force applied to the baseball the time of impact is 0.00200 seconds?
Answer:
The average force applied to the baseball is 8.25kN
Step-by-step explanation:
This problem bothers on the impulse of a force
We know that the change in momentum is expressed as
Ft= mv-mu
Given
Ft=16.5 kg-ms
Time t of impact =0.00200s
The force applied can be solved for
By making F subject of formula
F= (mv-mu)/t
F=16.5/0.002
F= 8250N
F= 8.25kN
Final answer:
The average force applied to the baseball is calculated to be 8250 Newtons, based on the given change in momentum of 16.5 kg-ms and the time of impact of 0.00200 seconds.
Explanation:
The student is asking how to calculate the average force applied to a baseball during collision with a bat, given that the baseball's change in momentum (impulse) is 16.5 kg-ms and the time of impact is 0.00200 seconds.
To find the average force (Favg), we can use the formula derived from Newton's second law, which relates force, change in momentum (impulse), and time:
Favg = \\Delta p / t
Where:
\\Delta p is the change in momentumt is the time during which the force is appliedPlugging in the values we have:
Favg = 16.5 kg-ms / 0.00200 s
Doing the calculation:
Favg = 8250 N
Therefore, the average force applied to the baseball is 8250 Newtons.
Nick has $5, $20, and $100 bills that total 17 bills. He exchanges all his $5 bills for $1 bills, then all his $20 bills for $5 bills, and finally all his $100 bills for $20 bills. At the end, Nick has a total of 77 bills. How many $20 bills did Nick have originally? Assume that each exchange preserves the total dollar amount of Nick’s money.
Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
In the diagram below, DE and EF are tangent to O. What is the measure of DF?
The measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
In the diagram below, DE and EF are tangent to O.
Let x be the measure of arc DF.
The complete revolution around the center = 360 degree
Major arc + Minor arc = 360
274 + x = 360
x = 86 degrees
Thus, the measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.
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Answer:
86
Step-by-step explanation:
Just took the quiz
What is the distance between the points (4, 9) and ( 14, 11)? Rounded to the nearest tenth, if necessary
Answer:
10.4
Step-by-step explanation:
PLZ HELP ME ON THIS!!! NEED ANSWERS ASAP
Answer:
-1
Step-by-step explanation:
real numbers stars from zero
eg. 01234567....
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation
2000.081 - 350 represents the situation, where t is the number of years the money has been invested. About how long has the
money been invested? Use a calculator and round your answer to the nearest whole number.
I need help with all three problms pls! I'll mark brainliest
Answer:
2. Denote two pieces: x, y
x + y = 40
x = 2y + 10
=> 2y + 10 + y = 40 => 3y = 30 => y = 10 => x = 2 x 10 + 10 = 30
=> Solution: 10 and 30
3. Denote 4 consecutive number: 2k, 2k+2, 2k+4, 2k+6
(2k + 2k + 4) x 2 + 20 = 2 x (2k + 6)
=> 8k + 28 = 4k + 12
=> 4k = -16
=> k = -4
=> Solution: -8, -6, -4, -2
4. The number of shoppers after announcement :
N = 320 x 150/100 = 480
Hope this helps!
:)
Let ∠Q be an acute angle such that tanQ=0.04. Use a calculator to approximate the measure of ∠Q to the nearest tenth of a degree.
m∠Q≈ __∘
We have been given that ∠Q is an acute angle such that [tex]\text{tan}(Q)=0.04[/tex]. We are asked to find the measure of angle Q to nearest tenth of a degree.
We will use arctan to solve for measure of angle Q as:
[tex]Q=\text{tan}^{-1}(0.04)[/tex]
Now we will use calculator to solve for Q as:
[tex]Q=2.290610042639^{\circ}[/tex]
Upon rounding to nearest tenth of degree, we will get:
[tex]Q=2.3^{\circ}[/tex]
Therefore, measure of angle Q is approximately 2.3 degrees.
The measure of angle Q, rounded to the nearest tenth of a degree, is approximately 131.4 degrees.
To approximate the measure of angle [tex]\( \angle Q \)[/tex] given [tex]\( \tan Q = 0.04 \)[/tex], follow these steps manually:
1. Use the inverse tangent function : Use the inverse tangent function [tex](arctangent or \( \tan^{-1} \)) to find \( Q \)[/tex].
2. Calculate [tex]\( Q \)[/tex] : Calculate [tex]\( Q = \tan^{-1}(0.04) \)[/tex].
3. Convert to degrees : The result of [tex]\( \tan^{-1}(0.04) \)[/tex] will give you [tex]\( Q \)[/tex] in radians. To convert radians to degrees, multiply by [tex]\( \frac{180}{\pi} \)[/tex].
- [tex]\( Q = \tan^{-1}(0.04) \)[/tex]
- Suppose [tex]\( \tan^{-1}(0.04) \approx 2.29161 \)[/tex] radians.
- Convert radians to degrees: [tex]\( Q \approx 2.29161 \times \frac{180}{\pi} \)[/tex]
- [tex]\( Q \approx 2.29161 \times 57.2958 \)[/tex]
- [tex]\( Q \approx 131.384 \)[/tex] degrees (this is the exact calculated value).
4. Round to the nearest tenth :
Since we need to round to the nearest tenth of a degree,
- [tex]\( Q \approx 131.4^\circ \)[/tex].
Therefore, the measure of [tex]\( \angle Q \)[/tex], rounded to the nearest tenth of a degree, is approximately [tex]\( 131.4^\circ \)[/tex].
Can someone please answer!!! I’m on a time limit!!!
Answer:
2.8
Step-by-step explanation:
the formula of volume of cylinder is pi*r^2*h. if you plug in, you get (3.14)(r^2)(8.7). if you solve for r, you get 2.8!
Which side lengths form a right triangle?
So the right answer is of option A.
Look at the attached picture ⤴
Hope it will help u...
What is the surface area of the triangular prism?
2,001 square feet
2.376 square feet
2,592 square feet
4.320 square feet
Answer:
2.376 b
Step-by-step explanation:
Answer:
b. 2.376 square feet
Step-by-step explanation:
In the figure attached, the prism is shown.
Area of the bottom rectangle: 40*24 = 960 square feet
Area of the two side rectangles: 2*40*15 = 1200 square feet
Area of the two triangles: 2*24*9/2 = 216 square feet
Surface area of the triangular prism = 960 + 1200 + 216 = 2376 square feet
Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale factor of the dilation?
Answer:
2.25
Step-by-step explanation:
The old width of 4 inches became a new width of 9 inches.
Old: 4 in.
New 9 in.
The old length of 6 inches became a new length of 13.5 inches.
Divide the new size by the corresponding old size.
9/4 = 2.25
13.5/6 = 2.25
You see in both cases, the scale factor is 2.25
The scale factor is 2.25
Please help me on number 3, 4 and 5 Trigonometry! Please show your work
Answer:
15
Step-by-step explanation:
14^2 + 6^2 = H^2
196 + 36 = H^2
232 = H^2
*Square root both sides*
About 15 = H
Also: H means hypotheses
I need help!!!???
The circle below is centered at the point (2,-1) and has a radius of length 3.
What is its equation?
А. (x-1)^2 + (y+ 2)^2 = 9
в. (х-2)^2 + (y+ 1)^2 =3^2
C. (х+ 2)^2 + (у - 1)^2 =3^2
D. (х+ 1)^2 + (y-2)^2 = 9
Answer:
Letter B is the answer.
If you know the answer please help....
Answer: The 4 correct answers are A,C,D, and E.
V= 3 x 5 x 4
V = 3 + 5 + 4
V= 5 x 4
V = 3 x 5
Answer:
The answer is 3 * 5 * 4
Step-by-step explanation: It's because volume is length times width times height so you would have to multiply all three numbers.