The volume of a right cone is 17287 units³. If its circumference measures 247 units,
find its height.

Answers

Answer 1

The height of the right cone is 10.68 unit

What is Volume ?

Volume is defined as the space occupied by a three dimensional object.

Volume of a right cone is given  by

V = π r²h/3

C = 2 π r

r = 247/2 π

3 * 17287 =  π  r²h

3 * 17287 =  π *(247/2 π )²h

h = 51861 *π *4/61009

h = 10.68 unit

Therefore the height of the right cone is 10.68 unit.

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Related Questions

help please! will give brainle giving 20 points love !

Answers

Answer:

D. 75%

Step-by-step explanation:

100% - 25% = 75%

Answer:

D. 75%

Step-by-step explanation:

If 25% get into an accident then how many teenagers don't? :

100% - 25% = 75%

Have a great day! :)

Determine the solution for the following equation: (8x-8) 3/2 = 64
x = 3
x = 5
x = 13
x = 65

Answers

The correct answer is option A which is x = 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] = 64

We can write 64 as [tex]16^{\dfrac{3}{2}}[/tex]

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] =   [tex]16^{\dfrac{3}{2}}[/tex]

8x - 8 = 16

8x = 24

x = 3

Therefore the correct answer is option A which is x = 3.

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Answer:

A. x=3.

Step-by-step explanation:

Edge 2022.

What is m/D?
118°
B
87°
A
D
23/24-
A
12

Answers

Answer:

[tex]62^\circ[/tex]

Step-by-step explanation:

This is a cyclic quadrilateral (all points of the quadrilateral are on the circle), meaning opposite angles are supplementary (add up to [tex]180^\circ[/tex]).

[tex]\angle D[/tex] is opposite [tex]\angle B[/tex], which is equal to [tex]118^\circ[/tex]. This means [tex]\angle D[/tex] is equal to [tex]180^\circ - 118^\circ[/tex], which is [tex]\boxed{62^\circ}[/tex].

PLEASE PLEASE HELP ILL LIKE AND ITS WORTH 20 POINTS !!

Answers

Answer:

Left one: 27.755 Right one: 3487.5

Step-by-step explanation:

You have to use sin of angle to find the area.

If the mean annual wage of her career is $35,240.00, what will her lifetime earnings be when she retires at the age of 60?

Answers

Answer:

2,114,400

Step-by-step explanation:

35,250 x 60 = 2,114,400

Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $310.00.

Invested at 2%___?
Invested at 7%___?

Answers

Answer:

2 % amount = 12000     7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

 then  13 000 - x  = 7% amount

.02x   + .07 (13000-x)  = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000      then the 7% amount is 1000

Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

Answers

With the mean and range, we can estimate the weights of the smallest and largest animals in each group.

For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]

Which conclusions can be made with the given information?

We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.

From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg

(Assuming a normal distribution).

Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:

The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg

(again, assuming a normal distribution).

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A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim?

Answers

Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

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Think about triangles that have
a perimeter of 15cm,
two or more equal sides,
and each side a whole number of centimetres.
Prove that there are only four of these triangles. i

Answers

In order to prove that there are only four of these triangles, we need to first   restate the formula for the perimeter of a triangle which is given as:  P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.

What is the proof?

Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.

The numbers are given as:

1 1 132 2 113 3 94 4 75 5 56 6 37 7 1

Step 2 -  Eliminate options where a side is more than the sum of the other two sides

Hence,

1 1 132 2 113 3 9

are eliminated. The remaining triangles are four in number.

QED.

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Find the value of x in the given figure.​

Answers

Sum measure of interior angles of traingle is 180° according to this rule ; sum measure of interior angles = (n-2)180 where n is the no. of sides

(3-2)180

=180°

So

[tex]72 + 65 + y= 180 \\ 137 + y= 180 \\ y= 180 - 137 \\ y = 43[/tex]

The sum of an interior and exterior angle equals to 180°

According to this

[tex]y + x = 180 \\ 43 + x = 180 \\ x = 180 - 43 \\ x = 137[/tex]

Hope it helps

Please give brainliest

Simplify as far as possible without a calculator.
3√7(2√2+4√7)

Answers

Answer:

[tex]6 \sqrt{14} + 84[/tex]

Step-by-step explanation:

distribute 3√7 by multiplying to each term In parenthesis

3√7×2√2+3√7×4√7

6√14+12√49

6√14+12(7)

6√14+84

6√14 + 84

or

106.449944321

Step-by-step explanation:

have √7 behave like a variable like x

have √4 behave like a variable like y

3√7(2√2+4√7)

(3√7*2√2)+ (3√7*4√7)

6√14 + (12*7)

6√14 + (84)

6√14 + (6 * 14)

I'm pretty sure it is, but it just seems so onesided so I wanted to make sure, is this correct?

Answers

That’s right I solved it and got the same answer

NoT YellInG ThIS IS JuSt TO AtTRaCT AtTeNTiOn 50 POiNtS PLeaSE ANswER I Am NoT WasTiNg PoInTS!!! Find the range of 1 1/4, 5/8, 3/4, 1/2, 1 1/2, and 1 3/4

Answers

Answer:

Range = 1 1/4

Step-by-step explanation:

Range = Maximum - Minimum

Arranging the data in ascending order :

1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4

Solving for range :

Range = 1 3/4 - 1/2Range = 1 3/4 - 2/4Range = 7/4 - 2/4Range = 5/4Range = 1 1/4
Answer: 1 1/4

Exact Form: 5/4
Decimal: 1.25

Explanation: Range is where you subtract the biggest number and the lowest number.

Biggest Number: 1 3/4
Lowest Number: 1/2

1 3/4 - 1/2 = 1 1/4

What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x

Answers

The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

What is a translation?

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

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Are the equations 1/2x-8=9 and x-8=18 equivalent?​

Answers

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent

1/2x-8=9
1/2x=17
X=16 1/2

X-8=18
C=26
No

Please help with the Area

Answers

The answer for number 4 is 161.7. I got that answer by plugging in the given numbers to each letter. b=7 a=3.3 therefore the equation I solved was 7*7*3.3=161.7

PLEASE HELP QUICK :(

Answers

Answer:

A

Step-by-step explanation:

Thats how the mean works lol

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

c is the answer to the question

Find the distance between the points with coordinates (0,-2,0), (3,0,-6).​

Answers

Answer:

[tex]C)~ 7~ \text{units}.[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1,z_1) = (0,-2,0)~ \text{and}~ (x_2,y_2,z_2) = (3,0,-6)\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3-0)^2 + (0+2)^2 +(-6-0)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{3^2 +2^2 +(-6)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{9+4+36}\\\\~~~~~~~~~~~~~~~=\sqrt{49}\\\\~~~~~~~~~~~~~~~=7~ \text{units}.[/tex]

What are the coordinates of the vertices of the image?
Translate the shape A four squares right and two squares down.

Answers

Answer:

see explanation

Step-by-step explanation:

a translation of 4 squares right means add 4 to the x- coordinate

a translation of 2 squares down means subtract 2 from the y- coordinate

then

(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )

(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )

(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )

PLEASE HELP ASAP <3
Evaluate: 23+x/8 for x = 8
O 24
O 3.875
O 20
O 18

Answers

Answer:

Your first step would be to rewrite the equation, were x =8 so it would look like this

Step-by-step explanation:

23 + 8/8 = ?

than solve. 8/ 8 = 1 and 23+1 = 24

Please solve (30 points)

Answers

A real life example of an acute angle is the angle that's made in letter V.

What is a acute angle?

It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.

In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.

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1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. This is because the train is our _____

2. Scientists use the ______
system for making measurements.

3. Physical science studies the relationships between ____,____,
and ______.

4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?

5. For most activities, the ___
makes a handy frame of reference.

Answers

On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.

How to explain the measurements?

When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.

If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;

= 30000/6

= 5000kg

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NEED ASAP PLS HELP

given: XZ WY, WXZ and YXZ are right triangles. Step 1: cos(W)=WZ/y; ycos(W)=Wz. Which step contains the first error in calculation

Answers

The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

How to Apply the Sine Ratio?

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

∅ = WOpposite length = XZHypotenuse length = y

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

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Guys please can you help with this question i dont get it at all. 10 x (-8)

Answers

Answer:

80 maybe no ummm udk sorry I might

Step-by-step explanation:

I got you I think

10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3

Answers

Answer:

1.4375

Step-by-step explanation:

[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]

[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]

[tex]\frac{10 + 36 / 4}{8} \\[/tex]

[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]

Find the equation of the line through the points (-2,4) and (3,-5) using point-slope form. Then rewrite the equation in slope-intercept form.

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 -4}{3 +2}\implies \cfrac{-9}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{9}{5}}(x-\stackrel{x_1}{(-2)})\implies y-4=-\cfrac{9}{5}(x+2) \\\\\\ y-4=-\cfrac{9}{5}x-\cfrac{18}{5}\implies y=-\cfrac{9}{5}x-\cfrac{18}{5}+4\implies y=-\cfrac{9}{5}x+\cfrac{2}{5}[/tex]


Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
destination. On the return journey home, she travels a total of 5 hours.
Determine the speed of the car that Astrid will travel to get home.

Answers

Answer:

[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]

Step-by-step explanation:

Formula to be used in the question:Speed = Distance / TimeDistance for the first 2 hours:

= 130 km

Distance for the next 3 hours:

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

Total distance from home to destination:

= 130 + 255

= 385 km

Speed on the return journey:

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

[tex]\rule[225]{225}{2}[/tex]

2x-y=7
x+y=5

Use elimination


Answers

Answer:  (x,y) = (4,1)

In other words,  x = 4 and y = 1

==============================================

Explanation:

Add the equations straight down.

The x terms add to 3x because 2x+x = 3xThe y terms go away when you add them since -y+y = 0y = 0The terms on the right hand sides add to 7+5 = 12

After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.

Use this x value to find y.

2x-y = 7

2(4)-y = 7

8-y = 7

-y = 7-8

-y = -1

y = 1

or

x+y = 5

4+y = 5

y = 5-4

y = 1

Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.

Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.

Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.

A trellis consists of overlapping wooden slats.

1.What is the position of the indicated angles?

2.What should the value of x be in order for the two slats to be parallel?

3. Which theorem or postulate will you use to prove the parallel slats?

4. Find the measure of the indicated angle.

Answers

The value of x  in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)°  =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

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