The volume of a cone varies jointly as the square of its radius and its height. if the volume of a cone is 99piπ cubic inches when the radius is 3 inchesinches and the height is 3 inches, find the volume of a cone when the radius is 4 inchesinches and the height is 9 inches.

Answers

Answer 1

Any answer choices ?

Related Questions

If h(x)= (f o g)(x) and h(x)= 4 √x+7, find g(x) if f(x) = 4 √x+1

Answers

(f o g)(x)=f(g(x))

so

h(x)=f(g(x))
[tex]4\sqrt{x+7}=4\sqrt{g(x)+1}[/tex]
hmm, see the differences

x+7=g(x)+1

x+6=g(x)
g(x)=x+6

Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is

Answers

Supplementary angles will always add up to 180. If you had a straight line, and you drew another line across that line, the two angles on either side of that line would add up to 180 because a flat line is equal to 180 degrees.

supplementary angles, when added, = 180 degrees

Evaluate cot675°. i will give brainlist

Answers

cot 675 = cot (675 - 360) = cot 315 degrees

this angle is in the 4th quadrant where tan and cot are negative

cot 315 = 1 / tan 315 = - 1/ tan 45 = = -1

The value of expression cot 675° is, - 1

We have to given that,

To find the value of cot 675°.

Now, We can find the value as,

⇒ cot 675°

⇒ cot (2 × 360 - 45)°

⇒ - cot 45°

⇒ - 1

Hence, The value of expression cot 675° is, - 1

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Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age. Which inequality represents Alicia’s possible age? 0
0
0

0

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Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)

−42v+33<8v+91 solve for v

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−42v+33<8v+91
33 - 91 < 8v + 42v
-58 < 50v
-58/50 < v
-29/25 < v
or
v > -29/25

The value of v is v > -1.16.

What are Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given linear inequality is

−42v + 33 < 8v + 91

We have to take like terms on one side.

-42v and 8v are like terms and 33 and 91 are like terms.

Subtracting 8v from both sides,

−42v + 33 - 8v < 8v + 91 - 8v

-50v + 33 < 91

Subtracting 33 from both sides,

-50v + 33 - 33 < 91 - 33

-50v < 58

Dividing both sides by -50, the inequality sign changes.

v > -58 / 50

v > -1.16

Hence the solution for the inequality is v > -1.16.

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Explain why the equation 6|x| + 25 = 15 has no solution. When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution. When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution. When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution. The statement is false. There is a solution.

Answers

Final answer:

The equation 6|x| + 25 = 15 has no solution because it implies that |x| equals a negative number after simplification, and absolute values cannot be negative.

Explanation:

The equation 6|x| + 25 = 15 has no solution because the absolute value of x, denoted by |x|, represents the distance of x from zero on the number line, and as such, it can never be negative. When we solve the given equation, we isolate the absolute value on one side which gives us 6|x| = -10 after subtracting 25 from both sides. Dividing by 6, we obtain |x| = -10/6, which is a negative number. However, since an absolute value cannot equal a negative number, this indicates that there is no valid solution to the equation.

What is the measure of an exterior angle of a regular 11-sided polygon? enter your answer as a decimal in the box. round to the nearest tenth of a degree?

Answers

In 11 sided Polygon no. of sides = 11

In general sum of interior angle of any polygon = [tex](n-2)*180[/tex]
Where n is no. of sides in polygon.
We can find value of each interior angle in any polygon as
[tex] \frac{(n-2)*180}{n} [/tex]

For polygon of 11 sides
Value of each interior angle is
[tex] \frac{(11-2)*180}{11} [/tex]
[tex] \frac{9*180}{11} = \frac{1620}{11} = 147.272727..... [/tex]
So value of each interior angle in 11 sided polygon is 147.272727..... which we can round it as 147.28 degree.

Value of exterior angle in polygon = 180 - interior angle
= 180 - 147.28 = 32.72 degree.

So the value of exterior angle in 11 sided polygon is = 32.72 degree.

y+6x=11; x= -1, 0, 4

solve the equation for y then find the value of y for each value of x

Answers

y+6(-1)=11, y+(-6)=11, y=17

y+6(0)= 11, y= 11

y+6(4)= 11, y+24= 11, y= -13

That's all I got. Hope its helpful

minus 6x from both sides

y=-6x+11

ok, so when x=-1
y=-6(x)+11
y=-6(-1)+11
y=6+11
y=17
when x=-1, y=17

when x=0
y=-6(0)+11
y=-6(0)+11
y=0+11
y=11
when x=0, y=11

when x=4
y=-6(x)+11
y=-6(4)+11
y=-24+11
y=-13
when x=4, y=-13

in a word game, you choose a tile from the bag, replace it, and then choose another. if there are 28 vowels and 12 constants, what is the probability you will choose a constant

Answers

Since there are 28+12=40 tiles to choose from, and there are 12 constants, there is a 12/40=6/20=0.30=30%=3/10 chance of choosing a constant

Plz help! Convert 3/5 into fractions with a denominater of 15 A.9/15 B. 3/15 C.5/15 D. 6/15

Answers

Because we need to multiply the bottom by 3 to get 15, we need to multiply the top as well:

3*3/5*3
9/15

Hope this helped!

6(r+3)-4=2r+10+4r how do you slove that

Answers

Simplify 2r + 10 + 4r to 6r + 10

Expand it

Simplify 6r + 18 - 4 to 6r + 14

Cancel 6r on both sides

Since 14 = 10 is false, there is NO solution for this equation so no answer.

6(r+3) - 4 = 6r + 10 (simplify)

6r + 18 - 4 = 6r + 10 (distribute 6 into all)

6r + 14 = 6r + 10 (simplify)

6r - 6r = 10 - 14

0 = -4 (untrue)

cannot be solved sorry

How many times as heavy is the Golden Eagle as the Red Tailed Hawk? The Golden Eagle weighs 13 9/10 lbs and the red tailed hawk weighs 3 1/2 lbs?

Answers

In order to figure out the ration of the Golden Eagle to the Red Tailed Hawk you would need to convert their numbers a decimal. In this case you would convert 13 9/10lbs to 13.9 and 3 1/2lbs to 3.5. So now you would divide 13.9 by 3.5 and you get 3.9. So in other words you could have 3.9 Red Tailed Hawks to make one Golden Eagle. So the Golden Eagle is 3.9 times heavier than the Red Tailed Hawk.

Final answer:

The Golden Eagle, weighing 13.9 lbs, is approximately 4 times as heavy as the Red Tailed Hawk, which weighs 3.5 lbs.

Explanation:

To find out how many times as heavy the Golden Eagle is compared to the Red Tailed Hawk, we need to divide the weight of the Golden Eagle by the weight of the Red Tailed Hawk. The Golden Eagle weighs 13 9/10 lbs, which can be converted into an improper fraction as 139/10 or a decimal as 13.9 lbs. The Red Tailed Hawk weighs 3 1/2 lbs, which can be converted into an improper fraction as 7/2 or a decimal as 3.5 lbs.

To perform the division, we'll use the decimal form of the weights:

Golden Eagle: 13.9 lbsRed Tailed Hawk: 3.5 lbs

Dividing the Golden Eagle's weight by the Red Tailed Hawk's weight:

13.9 lbs ÷ 3.5 lbs = 3.9714 (approximately)

So, the Golden Eagle is approximately 4 times as heavy as the Red Tailed Hawk.

What types of triangles can have an obtuse angle?

Scalene
Right
Acute
Isosceles

Answers

Scalene = yes it is possible (example: 105 degrees, 5 degrees, 70 degrees)

Right = No, the reason why is because the remaining angles must add to 90 which is less than a right angle. So it's impossible to have one angle over 90 degrees.

Acute = Also no. All three angles are less than 90 degrees

Isosceles = Yes. It is possible. One example would be 120 degrees, 30 degrees, 30 degrees.

The perimeter p of a rectangle is related to the length l and width w through the equation p=2l+2w. determine the width in terms of the perimeter and length.

Answers

To find the equation for width in terms of length and perimeter, we need to solve for w in the equation for perimeter:
[tex]p=2l+2w[/tex]
[tex]p-2l=2w[/tex]
[tex]\frac{1}{2}p-l=w[/tex]

Ellen walks dogs on weekends. She gets paid $8.50 per hour. Each day she works five hours and 45 minutes. How much does Ellen get paid per weekend?

Answers

48.875 i believe is the answer hope it helps!!!

a group of 10 people ran an average of 2.7 miles in one week. if the first 4 people in the group averaged 3 miles, what did the last 6 people average

Answers

In this question, 10 people average running distance is 2.7miles. Then the sum of their running distance would be: 10 people * 2.7 miles/people= 27 miles.

The group then divided into 2, 4 people with 3 miles average and 6 people with unknown average. Since the people are same like the 10 people group, their total running distance would be the same. The calculation would be:

total distance = group1 * average1 + group2 * average2
27 miles= 4 people * 3 miles/people + 6 people* average2
6 people * average2 = 27 miles -12 miles = 15 miles
average2= 15 miles/6people= 2.5 miles/people

What is the product? (X-3)(2x^2-5x+1)

Answers

Answer:

C. 2x^3-11x^2+16x-3

What is the difference of the polynomials?

Answers

Answer:

2x^3 + 2x

Step-by-step explanation:

subtract the 2 x^4's

x^3 +x^3 = 2x^3

x +x = 2x

answer is 2x^3 + 2x

The difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]

Given the polynomials:

[tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex],

We are required to find their difference which can be solved as follows:

[tex](x^4 + x^3 + x^2 + x ) - ( x^4 - x^3 + x^2 - x)[/tex]

First, open the bracket by multiplying every term you have in [tex]( x^4 - x^3 + x^2 - x)[/tex] by -1:

Thus:

[tex]x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x[/tex]

Group like terms together and add them together

[tex]x^4 - x^4 + x^3 + x^3 + x^2 - x^2 + x + x\\\\\mathbf{2x^3 + 2x}[/tex]

Thus, the difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]

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What is the radius of a circle with circumference 27 in.?

Answers

Okay. So, the circumference equals pi * diameter. What we would have to do is divide 27 by pi (3.14). When you divide, you should get 8.598 and other numbers behind it or 8.6 when rounded to the nearest tenth. The radius is half of the diameter, so you do 8.6/2. When you do that, your quotient should be 4.3. The radius of a circle with a circumference of 27 in. is 4.3 in.

Final answer:

The radius of a circle with a circumference of 27 inches can be calculated using the formula for the circumference of a circle which is 2πr. Calculating this, the radius is approximately 4.3 inches.

Explanation:

The subject of this question is Mathematics, more specifically, Geometry which deals with shapes, sizes and properties of figures. In this case, we are being asked to find the radius of a circle given its circumference. The circumference of a circle is calculated as 2πr, where r represents the radius and π is approximately equal to 3.14.

To find the radius (r), you would divide the circumference by 2π. Given that the circumference of the circle is 27 inches, we divide 27 by 2π (approximately 6.28). This can be further simplified to approximately 4.3 inches.

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Suppose it took 12 riders a total of 11 days 21 hours to ride from St.joseph to Sacremento. If they all rode the same number of hours how many hours did each rider ride

Answers

285 hours because there is 264 hours in 11 days and then you just add the 21 to the 264 because they're asking how many hours did each rider ride individually, not all together.

an ice cream factory makes 260 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?

Answers

260 quarts * 36 hours = 9,360 quarts
260 * 20 hours = 5,200 quarts ---> 260 quarts / 10 hours = 26 quarts per hour ---> 26 quarts * 4= 104 quarts ---> 5,200 + 104 = 5,304 quarts per day

Final answer:

The ice cream factory can make 936 quarts in 36 hours and the rate per day is 624 quarts.

Explanation:

To find out how many quarts of ice cream can be made in 36 hours, we can set up a proportion based on the rate of production. The rate of production is 260 quarts of ice cream in 10 hours. We can set up the proportion:

260 quarts / 10 hours = x quarts / 36 hours

Cross-multiplying, we get:

10x = 260 * 36

Simplifying, we find:

x = (260 * 36) / 10 = 936

Therefore, 936 quarts of ice cream can be made in 36 hours.

To find the rate per day, we need to calculate how many quarts can be made in 24 hours. We can set up the proportion:

260 quarts / 10 hours = y quarts / 24 hours

Cross-multiplying, we get:

10y = 260 * 24

Simplifying, we find:

y = (260 * 24) / 10 = 624

Therefore, the rate per day is 624 quarts of ice cream.

What is the slope of the line shown?

Answers

the slope is positive 9/7 bc you go up 9 from the first point and 7 to the right

Answer:

Option (b) is correct.

The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]

Step-by-step explanation:

Given: A graph with an equation of line having two points (1,6) and (-6, -3)

We have to find the slope of the given line in graph and choose the correct from the given options.

Consider the two points (1,6) and (-6, -3).

Slope between two points can be calculated using the formula as,

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)[/tex]

Thus, Slope is

[tex]m=\frac{-3-6}{-6-1}=\frac{9}{7}[/tex]

Thus, The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]

what's the answer to this equation?

Answers

x^2-2x+2 is the same as 1x^2-2x+2

1x^2-2x+2 = 0 is in the form ax^2+bx+c = 0 where
a = 1
b = -2
c = 2

Plug these a,b,c values into the discriminant formula below
D = b^2 - 4ac
D = (-2)^2 - 4*(1)*(2)
D = -4

The final answer is -4

can someone help me out

Answers

I don't see in the problem what she is paid for over time but it is normally 1.5 times per hour

so 40 hours at 25 = 1000

51-40 = 11 hours of over time

25 *1.5 = 37.50 per hour for over time

11 * 37.50 = 412.50

1000+412.50 = 1412.50 total

I need help with #12. I have to show work too.

Answers

Answer: SR is 69 units long.

------------------------------------------------------------
------------------------------------------------------------

Explanation/Work Shown:

SR is the distance from R to S (or S to R; order doesn't matter). In other words, it's the length of segment SR. In this case, SR = 7x-8 for now. Your teacher wants you to find a numeric value for SR. To do that, we need to find x first.

ST is a similar story: it's the length of segment ST. In this case, ST is the algebraic expression 3x-5.
Finally, RT = 8x+9

So far we have these three equations:
SR = 7x-8
ST = 3x-5
RT = 8x+9

Because SR and ST combine to form RT (and because S is on line RT), this means we can say
SR + ST = RT
by the segment addition postulate

Let's plug in the equations found earlier to get...
SR + ST = RT
(7x-8) + ST = RT ... replace SR with 7x-8
(7x-8) + (3x-5) = RT ... replace ST with 3x-5
(7x-8) + (3x-5) = 8x+9 ... replace RT with 8x+9

Now let's solve for x
(7x-8) + (3x-5) = 8x+9
7x-8 + 3x-5 = 8x+9
(7x+3x)+(-8-5) = 8x+9
10x-13 = 8x+9
10x-13+13 = 8x+9+13 ... add 13 to both sides
10x = 8x+22
10x-8x = 8x+22-8x ... subtrat 8x from both sides
2x = 22
2x/2 = 22/2 ... divide both sides by 2
x = 11

Now that we know x, we can find the length of SR
SR = 7x-8
SR = 7*x-8
SR = 7*11-8 ... replace x with 11 (since x = 11)
SR = 77-8
SR = 69

Line SV is an angle bisector of angle RST if angle RSV = (3x+5) and angle RST = (8x-14) find x

Answers

SV splits RST into 2 equal sections.

so RST = 2 * RSV

8x - 14 = 2(3x + 5)
8x - 14 = 6x + 10
8x - 6x = 10 + 14
2x = 24
x = 24/2
x = 12 <===

Answer:

x=12

Step-by-step explanation:

Line SV is an angle bisector of angle RST

<RSV = <VST

Both angles are equal

m<RSV = (3x+5)

<RSV = <VST, so m<VST = (3x+5), m<RST= 8x-14

m<RST= m<RSV +m<VST

[tex]8x-14= 3x+5+3x+5[/tex]

Combine like terms and solve for x

[tex]8x-14= 6x+10[/tex]

Subtract 6x from both sides

[tex]2x-14=10[/tex]

Add 14 on both sides

[tex]2x=24[/tex]

Divide both sides by 2

x=12

Factor the polynomial given a common factor.

Answers

The answer that goes in the blank is x-pi/2

Where the "-pi/2" part is its own fraction (x is not part of it; i.e., x is not in the numerator of the fraction).

-------------------------------------

To find this answer, we need to ask ourselves: "1/3 times what quantity will give us (1/3)x?". The answer to this sub-question is simply x. In other words, 1/3 times x is (1/3)x. That takes care of the first part.

For the second part, we have 1/3 times something equal to -pi/6. That "something" must be -pi/2. Note how

(1/3)*(-pi/2) = (1*(-pi))/(3*2) = -pi/6

So you have to think backwards in a sense. Or you can treat it like this

(1/3)*y = -pi/6

Multiplying both sides by 3 leads to

y = -pi/2

if you have the polynomial [tex] \frac{1}{3} [/tex] x - [tex] \frac{ \pi}{6} [/tex] by factoring out [tex] \frac{1}{3} [/tex] then the result would be:

[tex] \frac{1}{3} [/tex] x - [tex] \frac{ \pi}{6} [/tex] = [tex] \frac{1}{3} [/tex] [([tex] \frac{1}{3} [/tex] ÷ [tex] \frac{1}{3} [/tex] x) - ([tex] \frac{ \pi}{6} [/tex] ÷ [tex] \frac{1}{3} [/tex] )]

= [tex] \frac{1}{3} [/tex] ( x - [tex] \frac{ \pi}{2} [/tex])

4. Your Turn: Find the measure of angle B. Enter only the number as your answer. *

Answers

interior angles of a triangle add up to 180 degrees

3x + 2 + 2x + 7 + 41 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130/5
x = 26

< A = 3x + 2......3(26) + 2 = 80
< B = 2x + 7......2(26) + 7 = 59
< C = 41
------------add
for a total of 180 (correct)

so ur < B = 59 <===

What is the median of the data set?

30 52 68 65 69 61 68 75 85 78
Question 2 options:

61

65.1

68

69

Answers

Answer: The answer is 68

The above answer is incorrect.

Step-by-step explanation:

if that is the wrong answer then what is the right answer .

Answers

well whats the question

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The volume of a cone varies jointly as the square of its radius and its height. if the volume of a cone is 99piπ cubic inches when the radius is 3 inchesinches and the height is 3 ​inches, find the volume of a cone when the radius is 4 inchesinches and the height is 9 inches.

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The volume of a cone varies jointly as the square of its radius and its height. if the volume of a cone is 99piπ cubic inches when the radius is 3 inchesinches and the height is 3 inches, find the volume of a cone when the radius is 4 inchesinches and the height is 9 inches.