Hi.
i need help with this question.

Workings Please.

1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.​

Answers

Answer 1

Answer:  radius = 5.83 cm     height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

[tex]C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi[/tex]

The circumference of the the cone is [tex]\dfrac{35}{3}\pi[/tex] .  We can use this to find the radius .

[tex]C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r[/tex]

When you fold the 210° section into a cone, the slant height is the original radius of 10.  We can use the radius and slant height of the cone to form a right triangle with the height.  Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

[tex]\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12[/tex]


Related Questions

Determine the statement that is logically equivalent to this conditional statement.
If you have a small lawn to mow, then you do not live in a mansion.
A)
If you have a small lawn to mow, then you live in a mansion.
B)
If you do not have a small lawn to mow, then you live in a mansion.
If you live in a mansion, then you do not have a small lawn to mow.
D)
If you do not live in a mansion, then you have a small yard to mow.

Answers

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

Statement is

If you have a small lawn to mow, then you do not live in a mansion. "If p then q"

Equivalent statement as per the rule should be:

1. Not p or q2. q or not p3. If not q then not p

Options to identify equivalent statement

A)  If you have a small lawn to mow, then you live in a mansion.

False

B)  If you do not have a small lawn to mow, then you live in a mansion.

False

C) If you live in a mansion, then you do not have a small lawn to mow.

True as per rule 3 above

D)  If you do not live in a mansion, then you have a small yard to mow.

False

Correct answer is option C)

Maude and Ahmed each drove their cars for 4.6 hours. In that time, Maude drove 230 miles. Ahmed drove 10 miles per hour slower than Maude drove. Write an equation that can be used to determine the distance, y, in miles, that Ahmed drove in h hours. Use your equation to determine how many more miles Maude drove in h hours than Ahmed drove. Show your work.

Answers

Answer:

y = 4.6 * (230 -10) ... 1,012 - Ahmed ... 1058 - Maude

m DEF = 144° and m GEF = 69°. Find m DEG

Answers

Answer:

Angle DEG = 75 degrees

Step-by-step explanation:

Step 1:

m DEF - m GEF = m DEG

Step 2:

144 - 69 = 75

Answer:

75 degrees

which coordinate pair represents the reflection of poin A across the y-axis

Answers

Answer:

i need and image

Step-by-step explanation:

Find two rational numbers between -1 and 0

Answers

Answer:

-1/2 and -3/4

Step-by-step explanation:

rational numbers are numbers that can be expressed in a fraction

although a meteorite might travel millions of kilometers to reach earth the particles of iron in a meteorite are identical to the particles of iron an iron skillet because iron is a

pure substance
metalloid
mixture
compound

10 points!:)

Answers

Answer:

pure substance! I checked.

Step-by-step explanation:

In chemistry, a substance is pure if it has a homogeneous chemical composition. ... Examples of pure substances include iron, steel, and water. Air is a homogeneous mixture that is often considered to be a pure substance.

what is the answer to 3(5)​

Answers

Answer: 15

Step-by-step explanation:

3x5=15

The answer is gonna be 15

35 over 11 rounded to the nearest tenth

Answers

35 over 11 rounded to the nearest tenth would be 3.2

6 + x is an example of _____. a variable an expression a constant a formula

Answers

Answer: a formula

Step-by-step explanation:

Its easy, just because you see that there is a variable, but there is also a formula. The answer could be a formula. If it was all letters, the answer would be variable, but its not. The answer is a formula.

Answer:

B. An Expression

Step-by-step explanation:

An expression is one term or a combination of multiple terms using an addition or subtraction sign.

Hope I was able to help you!

PLEASE HELP YOU WILL BE MARKED BRAINLIEST
Find the factored form of the expression. Check your answer. 6x2 + 54​

Answers

Answer:

6⋅(x+3)⋅(x−3)

Step-by-step explanation:

Solve for y
y - 5x = 11?

Answers

Answer:

y=16

Step-by-step explanation:

y = 11-5x

= 16

y = 16

this is the answer

xxxx delete answer xxxx

find three consecutive even integers whose sum is 54

Answers

17, 18, 19

17+18+19=54

|7 – x| + |3x| when x = 2

Answers

Answer:

Answer= 11

Step-by-step explanation:

|7 – (2)| + |3 (2)|

|5| + |6| = 5 + 6 = 11

negative two minus negative 5

Answers

I think the answer to your question is 3

Answer:

3

Subtract the smaller number from the greater number.

You get -3, right?

Remeber the key rule- negative minus negative is positive.

3995.996 to the nearest hundreth

Answers

Your answer goes to 3995.100

Answer:

Step-by-step explanation:

3995.996 to the nearest hundredth

9 is in the hundredths place

to the right is 6 and it is higher than 5

therefore it is 3996

simplify (-4x^5)(4x^2)

Answers

Answer:

-16x^7

Step-by-step explanation:

Multiply -4 by 4 and x^5 by x^2:

(-4)(4)(x^5)(x^2) = -16x^7

Answer:

14

Step-by-step explanation:

Please show all work and not just the answers.

Answers

Answer: The midpoint is (-6, -2.5)

note: -2.5 is equivalent to the fraction -5/2

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

Explanation:

For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.

The value 5 is two units away from both endpoints 3 and 7.

Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.

----------

The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.

Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.

Put together, the midpoint is located at (-6, -2.5)

If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.

The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall

Answers

Answer:

3.98964 inches

Step-by-step explanation:

We are given;

Mean; μ = 4 inches

Standard deviation; σ = 0.01 inch

Probability = 15% = 0.15

Formula to calculate z-value is given by;

z = (X - μ)/σ

Now, since we are given the probability to be below 0.15,thus;

From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.

Thus, plugging in the relevant values into the z score equation gives;

-1.036 = (x - 4)/0.01

Cross multiply to give;

-0.01036 = x - 4

x = 4 - 0.01036

x = 3.98964 inches

Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?

Answers

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

I'm rather stuck on this question

Answers

Answer:

m<a = 30°

m<b = 90°

m<c = 60°

Step-by-step explanation:

Angles a, b, and c are all angles on a straight line.

Angles on a straight line add up to 180°.

Therefore, a + b + c = 180°

Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:

Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°

m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]

m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]

m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]

Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7

Answers

Answer:

8/7

Step-by-step explanation:

The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.

What is the distance formula

Answers

Answer:

the firdst image in the uper left corner

Step-by-step explanation:

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\:\:}}[/tex]

[tex]\\[/tex]

Cheers!

Help wanted! what is 20 divided by 5 times 1?

Answers

its 4,

=(20/5)1

= (4)1=4

Answer:

4

Step-by-step explanation:

20÷5x1

20÷5=4

4x1=4

A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?

Answers

Answer:

13/16 = 0.813

Step-by-step explanation:

To obtain the graph of y = (x - 8)2, shift the graph of y = 2____ units.

Answers

Answer:

y = 2(8-x)

Step-by-step explanation:

you just swich around the numebers and the( ta da)

Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.
PM= ________

Answers

Answer:

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Step-by-step explanation:

Relevant data provided as per the requirement of question is shown below:-

M(c,d)is a midpoint of PQ

PM = MQ

The expression for PM to find an expression for PQ is shown below:-

Where,

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Which is equals to MQ

and

[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

For more clarification, the diagram has been presented below:-

I______I______I

P           M          Q

(a,b)     (c,d)

4.9x 10^2 as a decimal number????

Answers

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.

Answers

Answer:

Positive

Step-by-step explanation:

-13 plus positive 20 equals positive 7

a=14; what does 15+5+a equal

Answers

Answer:

34

Step-by-step explanation:

So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:

15 + 5 + 14

15 + 5 = 20

20 + 14 = 34

All you do is replace a with 14 then add 15, 5 and 14 getting 34.

HOPE IT HELPED

what is 8 ninths plus 7 fifteenths

Answers

Answer:

122/90 or 1 32/90

Step-by-step explanation:

8/9 and 7/15 have the common denominator of 90.

Step 1:

8/9 + 7/15

Step 2:

80/90 + 42/90

Step 3:

122/90

Answer:

122/90 or 1 32/90

Hope This Helps :)

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