Answer:
One
Step-by-step explanation:
THe two equations have different slopes so they will intersect at one point.
Since the area of the circle is I the area of the square, the
volume of the cone equals
o
I the volume of the pyramid or
(ench
or
srh.
o
the volume of the pyramid or (2n
o
the volume of the pyramid or
(2nm or s?h.
o
the volume of the pyramid or : ( 20%(h) or şir?h.
Answer:
(b)
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex] or [tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Step-by-step explanation:
Given
[tex]Ratio = \frac{\pi}{4}[/tex]
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
[tex]V = \frac{a^2h}{3}[/tex]
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
[tex]a = 2r[/tex]
The volume becomes;
[tex]V = \frac{(2r)^2h}{3}[/tex]
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
[tex]V_2 = Ratio * V[/tex]
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
[tex]V_2 = \frac{\pi}{4} * \frac{(2r)^2h}{3}[/tex]
Open bracket;
[tex]V_2 = \frac{\pi}{4} * \frac{4r^2h}{3}[/tex]
Cancel out 4
[tex]V_2 = \pi * \frac{r^2h}{3}[/tex]
The above can be written as:
[tex]V_2 = \frac{1}{3} * \pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
So, we have:
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
or
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?
Answer:
56 rabbits
Step-by-step explanation:
Given that t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.
In 126 days, there are
= 126/7
= 18 weeks
It means that the rabbit population will double
= 18/6 times
= 3 times
Since there are currently 7 rabbits at the end of 6 week,
P(6) = 7 * 2
= 14
At the end of 12 weeks
P(12) = 14 * 2 = 28
At the end of 18 weeks
P(18) = 28 * 2 = 56
Hence there will be 56 rabbits at the end of 126 days
In one week, the number of bowls a potter made
was 6 times the number of plates. He made
90 bowls during the week. Write an equation that
could be used to find the number of plates p that
the potter made.
Answer:
Step-by-step explanation:
the number of bowls was 6 times the number of plates.
b = 6p
He made 90 bowls during the week.
90 = 6p
p = 15
He made 15 plates during the week.
Need help pls! soon as posible :<
Answer:
B Is the answer
Step-by-step explanation:
I think
WILL MARK AS BRAINLIEST!!
if y varies directly as x and y=3 when x=12, what is the value of y when x=18
Answer: y=6
Step-by-step explanation:
Data: y=3 and x=12
y=? and x=18
12/3=4 and 18/3=6
y=6
I hope this helps
What are the ordered pairs of the
solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19
(4, [?]); ([ ], [])
Answer:
(4, 11) is one ordered pair and (-4, 27) is the other ordered pair
Step-by-step explanation:
(1) f(x) = x^2 - 2x + 3 (2) f(x) = -2x + 19
-2x + 19 = x^2 - 2x + 3
x^2 - 16 = 0
(x - 4)(x + 4) = 0
x = 4 or x = -4 -2(4) + 19 = 11
-2(-4) + 19 = 27
So, when x = 4, y = 11 and when x = -4, y = 27
(4, 11) is one ordered pair and (-4, 27) is the other ordered pair
i know your looking at this plz just answer this i need help i will give brainlist and 5.0 and say thanks
Answer:
Bottom right corner answer
Market researchers were interested in the relationship between the number of pieces in a brick-building set and the
cost of a set. Information was collected from a survey and was used to obtain the regression equation ý = 0.08x +
1.20, where x represents the number of pieces in a set and is the predicted price (in dollars) of a set. Which
statement best describes the meaning of the y-intercept of the regression line?
Answer: c. When the number of pieces is 0, the predicted price is $1.20. This interpretation is not meaningful because a set cannot have 0 pieces
Step-by-step explanation:
The y-intercept in a regression equation shows the value of y when x is 0. For this scenario therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.
This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.
When the number of pieces is 0, the predicted price is $1.20.
This interpretation is not meaningful because a set cannot have 0 pieces.
We have given that,
Market researchers were interested in the relationship between the number of pieces in a brick-building set and the cost of a set.
What is the regression equation?
regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
The y-intercept in a regression equation shows the value of y when x is 0. For this scenario, therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.
This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.
To learn more about the regression equation visit:
https://brainly.com/question/25987747
#SPJ2
pls help balanceing this equation PCl3=P4+CL2
Answer: 4PCL3 -> P4 + 6CL2
Step-by-step explanation:
Ayudenme no le entiendo :(
Help I don't understand :(
Answer:
65 degrees
Step-by-step explanation:
90 - 25 = 65
Answer and Step-by-step explanation:
To find x, we need to subtract all of the other angles from 180.
180 - 25 = 155
155 - 90 (that's the right angle) = The answer is 65.
The other way to find x is be subtracting 25 from 90, since 25 and x, when added together, forms a right angle, which is 90.
#teamtrees #PAW (Plant And Water)
hi can someone pls help me, it’s confusing
Answer:
options C -x^2/3z
Step-by-step explanation:
this is the correct answer after we cancelled them
Answer:
C
Step-by-step explanation:
This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives
(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.
Hope this helps. Ask if you need me to clarify something.
pls helppp!
what is the area of the the shaded region?
a. 11 square cm
b. 19 square cm
c. 16 square cm
d. 6 square cm
Choose the inequality that represents the following graph.
Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444
Answer:
.....Your answer is D
...
.
The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches
Answer:
Cubic Inches
Step-by-step explanation:
I hope this helps you.
A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth. The perimeter is about yards.
Answer:
75.4yd
Step-by-step explanation:
Find the diagram attached
Perimeter of the figure = perimeter of the 4 semicircles
Perimeter of a semicircle = πd/2
d is the diameter of the semicircle = 12yd
Perimeter of a semicircle = 3.14(12)/2
Perimeter of a semicircle = 37.68/2
Perimeter of a semicircle = 18.94yd
Perimeter of the 4 semicircles = 4 * 18.94
Perimeter of the 4 semicircles = 75.36yd
Hence the perimeter of the swimming pool to nearest tenth is 75.4yd
please answer this questionnnnnnnnnnnnnnnnnnnnnn
Answer:
D. 30 Ft.
Step-by-step explanation:
Split the trapezoid into two shapes for an easier process .
The ideal split shall result in two shapes: A rectangle and a right triangle .
Rectangle Formula: L · W = A
Substitution: 6 · 4 = 24 Ft.
Right Triangle Formula: ( B · H ) ÷ 2 = A
Substitution: ( 3 · 4 ) ÷ 2 = 6 Ft.
Add the separate areas together to get the final result .
24 + 6 = 30 Ft.
Which of the following is an example of replication?
A. Assigning test subjects to test groups arbitrarily
B. Studying the effects of both therapy and no therapy on students
C. Performing five different studies of the same drug
D. Testing patients by giving them either a new drug or no drug
Answer:
Step-by-step explanation:
Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *
Answer:
The cylinder with a height of 7.0 cm and a diameter of 10.0 cm
Step-by-step explanation:
v = πr²h
---------------------
cylinder with a height of 10.0 cm and a diameter of 7.0 cm
v = π(3.5²)10
v = 384.65 cm³
cylinder with a height of 7.0 cm and a diameter of 10.0 cm
v = π(5²)7
v = 549.5 cm²
549.5 > 384.65
The second cylinder holds more
Use the equation ˆ y = 16.279 − 0.206 x to find the value of ˆ y given x = 48 . Round the result to the nearest tenth.
Answer:
[tex]y=6.391[/tex]
Step-by-step explanation:
Given
[tex]y=16.279 - 0.206x[/tex]
Required
Find y when [tex]x = 48[/tex]
Substitute [tex]48[/tex] for [tex]x[/tex] in [tex]y=16.279 - 0.206x[/tex]
[tex]y=16.279 - 0.206 * 48[/tex]
Multiply
[tex]y=16.279 - 9.888[/tex]
Subtract
[tex]y=6.391[/tex]
AREA of circles pls help
Answer:
50.24cm2
Step-by-step explanation:
pi=3.14 so a=3.14x4square which equals 50.24cm2
Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Determine the amount of money in the account in 15 years
Given:
The principal value = $10,000
Rate of interest = 8.5% compounded monthly.
To find:
The amount of money in the account in 15 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year, t is the number of years.
Number of months in an year is 12. So, n=12.
Substitute [tex]P=10000, r=0.085, n=12, t=15[/tex] in the above formula.
[tex]A=10000\left(1+\dfrac{0.085}{12}\right)^{12(15)}[/tex]
[tex]A=10000\left(\dfrac{12.085}{12}\right)^{180}[/tex]
[tex]A=35626.53335[/tex]
[tex]A\approx 35626.53[/tex]
Therefore, the amount of money in the account in 15 years is $35626.53.
The equation =+y3115
is solved in several steps below.
For each step, choose the reason that best justifies it.
Sabrina is building a bookend from two identical wooden rectangular prisms as shown in the figure. what is the volume of wood used in sabrina bookends
A.320 cubic centimeters
B.640 cubic centimeters
C.656 cubic centimeters
D.672 cubic centimeters
Answer:
A. 320 cubic centimeters
Step-by-step explanation:
First, you want to multiply 4 by 4 to get 16. Then what you want to be is multiply 16 by 20 and you will get 320 cubic centimeters.
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
87.9
Step-by-step explanation:
I searched it up
Find the measure of a
Answer:
104 degrees
Step-by-step explanation:
The whole shape will come to 360 degrees, so if you add 126 degrees and 26 degrees it will come to 152 degrees. You then subtract 152 degrees fro. 360 degrees, this will give you 208 degrees. Then you divide 208 degrees by 2 that results in 104 degrees. So 104 degrees is the answer.
A sector of a circle has a central angle measure of 300. The diameter of the circle is 26 centimeters What is the approximate area of the sector
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated
above. Find the probability that a male chosen at random watches comedy.
A. 2/15
B. 1/6
C. 1/3
D. 5/11
Answer:
C would be your answer. If im not mmistaken but im 99% sure
Step-by-step explanation:
Analyze the table below and complete the instructions that follow.
Sports
Drama
Comedy
Total
Male
8
2
5
15
Female
3
6
6
15
Total
11
8
11
30
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
A. 36
B. 80
C. 120
D. 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
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Please help I really dont know where to start and am having a hard time with this unit
So a slope of 1/4 means that for every 4 steps you take forward, you would go up 1.
With this, beginning at the point (6,3), lets take 4 steps back and go down 1. This is instead of going forward, as that value would be outside of your graph We would end up at (2,2). By using these two points, you can graph your line.