Mathematics College

what is the curved surface area of a cone on top of a half circle if the cone has a volume and the circle has a 10 area?

Answers

Answer 1

Given a cone with base radius, r, and perpendicular height, h,

the volume, V, is given by

[tex]V=\frac{1}{3}\times\pi\times r^2\times h[/tex]

In this case,

r = 10ft,

h = 17ft,

Therefore,

[tex]V=\frac{1}{3}\times\pi\times10^2\times17=\frac{1700}{3}\pi[/tex]

Hence, V = 1780.24 cubic feet

The volume of the cone is 1780.24 cubic feet

Related Questions

Here is a right triangle with a missing side length what is the missing side length

Answers

Right Triangles

A right triangle is recognized because it has an interior angle of 90°.

In right triangles, the Pythagora's Theorem is satisfied.

Being a and b the shorter sides (also called legs) of the triangle, and c the longer side (called hypotenuse), then:

[tex]c^2=a^2+b^2[/tex]

The triangle shown in the image has the two legs of values a=15 and b=8. The hypotenuse is c=x, thus:

[tex]x^2=15^2+8^2[/tex]

Operating:

[tex]x^2=225+64=289[/tex]

Solving for x:

[tex]x=\sqrt[]{289}=17[/tex]

x = 17

What is the answer to this question?

Answers

The reflection of a point P over a line as in the P' if the line m is the "perpendicular bisector" of line PP'. Point P' is called the "image" of point P.

What is termed as the reflection of the point?A reflection point represents when a figure is built around a single point recognized as point of reflection or the figure's center. On the other side, per each point in the graph, some other point is observed directly opposite it.

For the given question.

Line m is the line along which reflection of point P is taken.

Then, line m is called the "perpendicular bisector" of line PP'.

P is the object and P' will be the image of the point P.

Thus, the complete definition of the reflection is given as-

The reflection of a point P over a line as in the P' if the line m is the "perpendicular bisector" of line PP'. Point P' is called the "image" of point P.

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Plot the ordered pair (-4,-1) state which quadrant or on which axis the point lies

Answers

Answer:

Explanation:

Given the ordered pair (-4, -1), we have that x = -4 and y = -1. Plotting this point, we'll have;

Quadrants are labeled in an anti-clockwise direction with the top right portion of the graph being the 1st quadrant. Looking at the plotted point, we can see that the point is in the 3rd quadrant.

hi i'm stuck on diameter and radius and chord and the arc measure explanations. And i'm also stuck on this question

Answers

• Chord: ,a line segment connecting ,any two points, in a curve (circle).

• Diameter: ,a chord passing ,through the center ,of the figure.

• Radius: ,a line segment going ,from the center, to any point in the circumference.

The difference between them is that the chord is any two points touching the circumference, the diameter has to go through the center to any two points, and the radius goes from the center to just one point in the circumference.

Then, the line segment that meets the requirements of being the diameter in circle F is segment CD as it passes through the center.

The radius could be CF, DF, and EF. While a chord could be AB.

Answer: CD

Michael bought groceries and spent $46.85 before including the sales tax of 7%. What is the total purchase price after tax?

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We are told that a 7% tax is applied to the original sales price, in order to determine the tax amount we just have to multiply the original price ($46.85) by the tax percentage (0.07 as 7% in decimal form), then we get:

Tax amount = 0.07×46.85 ≈ 3.28

By adding the tax amount to the original price we should get the final price, like this:

Total purchase price = 46.85 + 3.28 = 50.13

Then, the total purchase price after tax is $50.13

A chocolate chip cookie recipe ask for 1 1/2 times as much flour as chocolate chips if 3 1/2 cups of flour is used what quantity of chocolate chips would then be needed according to the recipe

Answers

Given:

Amount of chocolate chips needed = 1 1/2 times as much floor.

Amount of floor used = 3 1/2 cups.

Let's find the quantity of chocolate chips that would be needed according to the recipe.

To find the amount of chocolate chips used, we have:

Amount of chocolate chips

[tex]undefined[/tex]

Wayne is hanging a string of lights 89 feet long around the three sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 5 feet longer than twice its width. Find the length and width of the patio.

Answers

SOLUTION:

Case: Rectangles

Method:

The sum is:

w + w + 2w + 5 = 89

4w + 5 = 89

4w = 89 - 5

4w = 84

w = 84/ 4

w= 21 feet

The length, l

l = 2w + 5

l = 2( 21) + 5

l = 42 + 5

l = 47 feet

Final answer:

length of the patio, l = 47 feet

width of the patio, w= 21 feet

Which postulate or theorem could you use to prove (triangle)XYZ = (triangle)ABC?Choose the correct answer below.AAS theoremSSS postulateASA postulateSAS postulate

Answers

From the given figures in the 2 triangles XYZ and ABC

mXZ = AC

Since we have two equal angles and the sides between them are equal, then

The 2 triangles are congruent using ASA postulate

The answer is C

Which tree is growing faster?Tree 2*Tree 1 is growing1.5 inches everyweek.weeks 1|2|3|4|5inches 45678tallTree ?Tree 1

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the growing rate of the first tree

Tree 1 is growing 1.5 inches every week

STEP 2: Calculate the growing rate of the second tree

This implies the slope and is calculated using the formula;

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

By substitution,

[tex]m=\frac{5-4}{2-1}=\frac{1}{1}=1[/tex]

The slope of 1 means that Tree 2 is growing at a rate of 1 inch per week

Hence, the tree that is growing faster is Tree 1 with a rate of 1.5 inches per week

ANSWER:

Tree 1

HELP ME OUT PLEASE!!!!!!

Answers

Answer:

The First one (1.7,3.1)

Step-by-step explanation:

3x-2=-0.5x+4

3.5x=6

x=12/7

x≈1.7

sub x back into to find y

y≈3.1

Where can I find L1 and L4 for a missing vertical angles?

Answers

The vertical angle theorem states that the opposite angles formed by two lines that intersect each other are always equal to each other.

Then, if we apply this to the figure shown we can say that by the vertical angle theorem

[tex]\begin{gathered} L1=L3 \\ L2=L4 \\ Meaning\colon \\ L1=45.5 \\ L4=134.5 \end{gathered}[/tex]

Order the lengths from least to greatest 19in 1yd 2ft 32in

Answers

19 in

1 yd

2ft

32 in

First, we have to convert all the length into a unique unit:

For example, inches:

Since

1 ft = 12 inches

2 ft = 2 x12 = 22 inches

1yd = 36 inches

Now, we have to order from least to greatest:

19 in-22in -32in-36in

In the original units:

19 in , 2ft, 32in ,1yd

Grandma’s Guide to Cooking MeasurementsDried Seasonings 1 pinch = 2 smidgens1 dash = 2 pinches1 sprinkle = 3 pinches1 teaspoon = 8 dashesBased on Grandma's guide to cooking, how many smidgens are in one teaspoon?Do not include units with your answer.

Answers

Answer:

Explanation:

1 pinch = 2 smidgens

1 dash = 2 pinches

Therefore, 1 dash = 2 x 2 smidgens

1 dash = 4 smidgens

1 teaspoon = 8 dashes

1 teaspoon = 8 x 4 smidgens

1 teaspoon = 32 smidgens

There are 32 smidgens in 1 teaspoon

Which of the following expressions is equivalent to 2-3?A -2-31B-23C231D- 2-3

Answers

2 - 3

the correct answer is letter C

If we follow the rules of the exponents, the power is negative so we change the negative sign writing the numerator in the denominator,

Find the value of z such that 0.04 of the area lies to the right of z. Round your answer toTwo decimal places.

Answers

Explanation

The total area under the normal distribution curve is 1. z-scores are indicated in the horizontal axis below this curve. This means that the sum of areas under the curve at the left and at the right of a certain z-score must be equal to 1.

Then if the area at the right of the z-score that we are looking for is 0.04 the area at its left must be equal to 1-0.04=0.96. The area at the left of z is important because z-score tables usually show the areas at the left of several z-scores. Then the only thing that we have to do is look for the z-score associated with 0.96 in one of these tables. In your case the table that you should use is the one named "Normal Table -∞ to z". That table should look like this one:

As you can see the value 0.96 is associated with the row 1.7 and the column .05 which means that the z-score that meets that the area under the curve at its right is 0.04 is z=1.7+0.05=1.75.

Answer

Then the answer is 1.75

5/8-3/8 S = two minus S

Answers

The value of S in the expression 5/8-3/8 S = two minus S is 2 1/5.

How to illustrate the information?

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, this is illustrated thus:

5/8 - 3/8S = 2 -S

Collect like terms

-3/8S + S = 2 - 5/8

5/8S = 1 3/8

Divide

S= 1 3/8 ÷ 5/8

S = 11/8 × 8/5

S = 11/5

S = 2 1/5

This illustrates the concept of expression.

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Please help with #4. The directions are with the pic below.

Answers

sphere: 12 pounds

cylinder: 108 pounds

Explanation:

Data:

. From balance A:

3 cubes + 1 sphere = 1 cylinder + 2 spheres

. From balance B:

3 cubes = 5 spheres

Since 1 cube = 20 pounds

=> From balance B:

3 cubes * 20 pounds = 5 spheres

60 pounds = 5 sphere

60 / 5 = 5 / 5

12 pounds = 1 sphere

=> From balance A:

3 cubes + 1 sphere = 1 cylinder + 2 spheres

3 spheres * 20 pounds + 1 sphere * 12 pounds = 1 cylinder + 2 spheres * 12 pounds

120 pounds + 12 pounds = 1 cylinder + 24 pounds

132 pounds = 1 cylinder + 24 pounds

132 pounds - 24 pounds = 1 cylinder + 24 pounds - 24 pounds

108 pounds = 1 cylinder

Solve them all pleaseeeeee

Answers

The solution to the inequalities will be,

( 5 ) y ≥ 2

( 6 ) x < 3

( 7 ) No solution.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

The given inequalities will be calculated as:-

-4 ≤ 4( 6y - 12 ) - 2y

-4 ≤ 24y - 48 - 2y

-4 ≤ 22 y - 48

22y ≥ 44

y ≥ 2

4x + 3 < 3x + 6

4x - 3x < 6 - 3

x < 3

-5r + 6 ≤ -5( r + 2 )

-5r + 6 ≤ -5r - 10

No solution

Therefore, the inequalities are solved above.

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Write the complex number in polar form with argument theta between 0 and 2 pie

Answers

[tex]=\text{ 7}\sqrt[]{2}\lbrack cos(tan^{-1}(-1)\text{ + isin}(tan^{-1}(-1)\text{ \rbrack}[/tex]Explanation:[tex]\begin{gathered} let\text{ z = -7 + 7i} \\ r\text{ = }\sqrt[]{(-7)^2+(7)^2} \\ r\text{ = }\sqrt[]{49+49\text{ }}\text{ = }\sqrt[]{98} \\ r\text{ = 7}\sqrt[]{2} \end{gathered}[/tex][tex]\begin{gathered} \tan \text{ }\theta\text{ = }\frac{7}{-7}\text{ = -1} \\ \text{ }\theta=tan^{-1}(-1) \\ \end{gathered}[/tex][tex]\begin{gathered} z\text{= }r(\cos \theta+\text{ isin}\theta) \\ -7\text{ + 7i }=\text{ }r(\cos \theta+\text{ isin}\theta) \\ =\text{ 7}\sqrt[]{2}\lbrack cos(tan^{-1}(-1)\text{ + isin}(tan^{-1}(-1)\text{ \rbrack} \end{gathered}[/tex]

The answer in polar form:

[tex]=\text{ 7}\sqrt[]{2}\lbrack cos(tan^{-1}(-1)\text{ + isin}(tan^{-1}(-1)\text{ \rbrack}[/tex]

Find the following. complete parts a-h. a. The first seven terms of the Fibonacci-like sequence with the seeds 0,3. *(parts b-h will appear as we answer this previous parts.) 7 parts in total for the question*

Answers

Recall that in a Fibonacci-like sequence, the sum of two consecutive terms yields the third term.

Mathematically,

[tex]t_n=t_{n-2}+t_{n-1}[/tex]

Since we are given the first two terms, we can find the third term and so on...

F₁ = 0

F₂ = 3

[tex]\begin{gathered} F_3=F_2+F_1=3+0=3 \\ F_4=F_3+F_2=3+3=6 \\ F_5=F_4+F_3=6+3=9 \\ F_6=F_5+F_4=9+6=15 \\ F_7=F_6+F_5=15+9=24 \end{gathered}[/tex]

Find the value or measure. assume all lines that appear to be tangent are tangent.JK=

Answers

In this problem we have that

mso

the formula to calculate the interior angle is equal to

msubstitute the given values

therefore

the answer is m

If a girl has 7 skirts, 9 shirts, and 5 pairs of shoes, how many outfits canshe wear?

Answers

Okay, here we have a Combination Problem, we need just multiply to get the answer, of this mode:

[tex]C=7\cdot9\cdot5=315[/tex]

She can wear 315 outfits.

Use disks and washers to find the volume of the solid the results when the area of the region y=x^3 y = 0, and x = 2 is revolved about the line x= 2

Answers

Solution

The functions that define the region in consideration are given below:

[tex]\begin{gathered} y=x^3 \\ y=0 \\ x=2 \end{gathered}[/tex]

The Washer Method:

- Plotting these functions would help us visualize the question better. This is done below:

- The question would like us to revolve around the region about line x = 2. The region is bounded by the Blue, Red, and Green line. This requires that we use the formula given below:

[tex]\begin{gathered} V=\int ^b_a{f(y)\mathrm{dy}} \\ \text{where,} \\ a\text{ and }b\text{ are the bounds of the integration along the y-axis} \end{gathered}[/tex]

We can represent the region bounded by the function by rearranging the functions as follows:

[tex]undefined[/tex]

What is the measure of a?

Answers

Answer:

Explanation:

Answer:

<A=32°

Explanation:

<BEC = 90° because it has the red half square and we know that <DCE = 42°. <ACB= 2x because <ACD and <DCB both =x. The equation we would set up is

90+(42+x) +2x=180

We get x=16.

Since <ACB = 2x we multiple 16 by 2

16*2=32

So <ACB =32°

Facot the expression 81x^2-25 ?

Answers

[tex]81x^2\text{ - 25}[/tex]

Apply difference of two square

[tex]x^2-y^2\text{ = (x - y)(x + y)}[/tex]

[tex]\begin{gathered} 81x^2\text{ - 25} \\ =(9x)^2-5^2 \\ \text{Apply difference of two square} \\ =\text{ (9x - 5)(9x + 5)} \end{gathered}[/tex]

please help 50 points!

Answers

Measure of angle 1 is 94 degrees
Measure of angle 2 is 86 degrees
Measure of angle 3 is 94 degrees

HELP PLEASEEEEE!!!!!!

Answers

-1 3/4, 14/8, 1.125 and -0.875 correspond to points 1, 8, 6 and 4 respectively on the number line.

How can we match -1 3/4, 14/8, 1.125 and -0.875 on the number line?

Looking at the number line, there are 8 divisions between two points e.g 0 to 1.

To know the value of 1 division, we divide the value of the distance between two points by the number of divisions:

= 1/8 = 0.125

To find the locations, we just divide the value of the locations with the value of 1 division:

-1 3/4 / 0.125 = -14 (Count 14 divisions to the left of 0) = point 1

14/8 / 0.125 = 14 (Count 14 divisions to the right of 0) = point 8

1.125/ 0.125 = 9 (Count 9 divisions to the right of 0) = point 6

-0.875 / 0.125 = -7 (Count 7 divisions to the left of 0) = point 4

Therefore, the positions of -1 3/4, 14/8, 1.125 and -0.875 on the number line are points 1, 8, 6 and 4 respectively.

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Determine if the ordered pair provided is a solution to the linear system:3x+7y=1 and 2x+4y=0; (2,3) The system has no solution as the lines are parallel. The ordered pair (2, 3) is not a solution to the system. Yes, (2, 3) is a solution to the system. The system has no solution as the lines are perpendicular.

Answers

Answer:

The correct answer is:

The ordered pair (2, 3) is not a solution to the system.

Explanation:

The system given is:

[tex]\begin{cases}3x+7y={1} \\ 2x+4y={0}\end{cases}[/tex]

If (2, 3) is a solution of the system, then replacing x = 2 and y = 3 on both equations should give a correct result and the same on both equatiions.

In the first equation;

[tex]\begin{gathered} 3\cdot2+7\cdot3=1 \\ 6+21=1 \\ 27=1 \end{gathered}[/tex]

We can see that this result is not true, as 27 is not equal to 1.

In the second equation:

[tex]\begin{gathered} 2\cdot2+4\cdot3=0 \\ 4+12=0 \\ 16=0 \end{gathered}[/tex]

Once again, a false result.

To see in the system has equations, let's solve for x in the second equation:

[tex]\begin{gathered} 2x+4y=0 \\ 2x=-4y \\ x=-2y \end{gathered}[/tex]

Now, we can use substitution in the first equation:

[tex]3(-2y)+7y=1[/tex]

And solve for y:

[tex]\begin{gathered} -6y+7y=1 \\ y=1 \end{gathered}[/tex]

Now, we can find the value of x:

[tex]x=-2\cdot1=-2[/tex]

The solution to the system is (-2, 1)

Thus, the correct option is "The ordered pair (2, 3) is not a solution to the system"

explain why there are two zeros in the product of 5 x 40

Answers

EXPLANATION

There are two zeros in the product of 5x40 because multiplying the number 40 5 times give us the number 200 wich is a hundred type number.

Find the equation for the horizontal line passing through the point (-6,-6).

Answers

SOLUTION

We are trying to get the equation for the horizontal line passing through the point (-6,-6).

( x1 , y 1 ) = ( 0, 0 )

( x2 , y2 ) = ( -6 , -6 )

Gradient, m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -6 -0 ) / ( -6 - 0 )

m = -6 / - 6

m = 1

Then, using the equation of a line;

y - y 1 = m ( x - x 1 )

y - 0 = 1 ( x - 0 )

y = x

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