Find the lateral area and surface area of a cone with an altitude of 5 feet and a slant height of 9 and 1/2 feet. Round to the nearest tenth, if necessary.

Answers

Answer 1

Check the picture below.

we know the LA is 9 and 1/2 or namely 19/2 and the height is 5, so

[tex]\stackrel{slant~height}{\cfrac{19}{2}}~~ = ~~\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies \left( \cfrac{19}{2} \right)^2~~ = ~~r^2+5^2\implies \cfrac{361}{4}~~ = ~~r^2+25 \\\\\\ \cfrac{361}{4} - 25~~ = ~~r^2\implies \cfrac{261}{4}=r^2\implies \sqrt{\cfrac{261}{4}}=r\implies \boxed{\cfrac{3\sqrt{29}}{2}=r} \\\\[-0.35em] ~\dotfill\\\\ LA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies LA=\pi \left( \cfrac{3\sqrt{29}}{2} \right)\cfrac{19}{2}\implies \boxed{LA=\cfrac{57\pi \sqrt{29}}{4}}[/tex]

[tex]~\dotfill\\\\ SA=\pi r\sqrt{r^2+h^2}~~ + ~~\pi r^2\implies SA=LA~~ + ~~\pi r^2 \\\\\\ SA=\cfrac{57\pi \sqrt{29}}{4}~~ + ~~\cfrac{3\pi \sqrt{29}}{2}\implies \boxed{SA=\cfrac{63\pi \sqrt{29}}{4}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill LA\approx 241.1\qquad SA\approx 266.5~\hfill[/tex]

Find The Lateral Area And Surface Area Of A Cone With An Altitude Of 5 Feet And A Slant Height Of 9 And

Related Questions

The radius of a circle is 15 in. Find its area in terms of \piπ

Answers

Answer:

Step-by-step explanation:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex]15²

A = [tex]\pi[/tex]225

can someone help me.​

Answers

Answer:

D. 75

Step-by-step explanation:

l = 15m

b = 5m

area of rectangle = l × b = 15 × 5 = 75 m²

Jack and Thomas picked apples. Jack picked 36 apples, which is twice as many as Thomas picked.
How many apples did Thomas pick?

Answers

The answer to your question is 72.

3x^2+18x-27=0
Answer in Quadratic formula

Answers

X= -b+- sqrr(b^2-4ac)/2a

B=18
A=3
X=-27
-18+-sqrt(18^2-4(3)(-27))/2(3)

-18+- sqrt(342)/6

-18+- sqrt(648)/6

pls helpppp i dont understand at all !!

Answers

Answer:

increasing

increasing

decreasing

increasing

decreasing

neither

Step-by-step explanation:

"increasing" just means the graph is going up from left to right.

"decreasing" means going down from left to right.

"neither increasing nor decreasing" means flat, horizontal, not going up or down.

Imagine you are walking on the x-axis, starting on the left, the numbers on the axis are like house addresses as you walk down the street. The column that says "interval" is saying where you are looking at along the axis.

-7 < x < -3 means from -7 to -3 on the x-axis. That piece of the curve IS going up from left to right. From -3 to -1 is also going up, so its increasing. From -1 to 1 the graph goes down, that's decreasing. Then it goes up again, then down, then flat. (incr, decr, neither)

Any slanted line or curve can be seen as going up or going down, depending on which direction you are going. But in this case only consider left to right ONLY. Then you can tell if its increasing or decreasing.

What is the probability of someone
randomly reaching into a bag of 8 red table
tennis balls and 4 blue table tennis balls and
pulling out a blue table tennis ball?

Answers

The probability of pulling out a blue ball is 1/3

What is probability?

This is a likelihood or chance that an event will occur. Mathematically:

Probability = Expected/Total outcome

If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:

Total outcome = 8 + 4 = 12 balls

If a blue ball is pulled out then the probability of pulling it out is:

Pr(blue ball) = 4/12 = 1/3

Hence the probability of pulling out a blue ball is 1/3

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How many angles are formed by intersecting roads? Number the angles

Answers

Answer:

there are about 8 angles ,God bless you

Answer:

I count 4 angles

Step-by-step explanation:

See the attached image.

Find the value of A+B

5/x²+6x+8 = A/x+2 + B/x+4

Answers

Step-by-step explanation:

[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]

The graphs below have the same shape. What is the equation of the blue graph? G(x) =

Answers

The answer is d
Because the graph moved to the left by 3
And moved down 2

If you need more explanation I can help

Hope this helps

bro i need help with this 8th grade math work

Answers

Answer:

look it up

Step-by-step explanation:

The solution of system of equations is (3.5, 3.5).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)

6x+4-8=4x+10

6x-4=4x+10

6x-4x=10+4

2x=14

x=7

Therefore, the value of x is 7.

3) y=3x-7 -------(i) and -y=x-7 -------(ii)

Substitute equation (i) in equation (ii), we get

-(3x-7)=x-7

-3x+7=x-7

x+3x=7+7

4x=14

x=14/4

x=3.5

Substitute x=3.5 in equation (i), we get

y=3×3.5-7

y=10.5-7

y=3.5

So, the solution is (3.5, 3.5)

4) Production of chairs from Anthony

(2, 10) and (5, 25)

Here, m=(25-10)/(5-2)

= 15/3

= 5

Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get

10=5(2)+c

c=0

Substitute m=5 and c=0 in y=mx+c, we get y=5x

Production of chairs from Billy

(1, 2) and (4, 8)

Here, m=(8-2)/(4-1)

= 6/3

= 2

Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get

2=2(1)+c

c=0

Substitute m=2 and c=0 in y=mx+c, we get y=2x

When y=18

Production of chairs from Billy 18=5x

x=3.6

When y=18

Production of chairs from Anthony

18=2x

x=9

Therefore, the solution of system of equations is (3.5, 3.5).

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A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.

If 20 is added to the line plot, what effects will it have on the mean and median?

Answers

Answer:

I do not know the full answer but its not the mean dropping

Step-by-step explanation:

i said the mean dropping and I got it wrong.

Answer:

The mean will change more than the median

Step-by-step explanation:

2(3/5x+3). How would I get that answer

Answers

Answer: [tex]\frac{6}{5}[/tex]x + 6

Step-by-step explanation:

       We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.

       Given:

2(3/5x+3)

       Distribute:

2 * (3/5x) + (2 * 3)

6/5x + 6

       Answer:

[tex]\frac{6}{5}[/tex]x + 6

question number 4 please help

Answers

Answer:

The correct answe is H , if yu sub the x value in each of the equations yu should get y

Linear Equations

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]

m = the slopeb = the y-intercept (the value of y when x=0)

To find the slope of a line (m):

Find the coordinates of two points that fall on the linePlug them into the following formula:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the points

To find the y-intercept of a line (b):

Plug the slope into [tex]y=mx+b[/tex]Plug in one of the pointsSolve for b

Solving the Question

We're given a set of coordinates for this linear relation.

First, solve for the slope.

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

⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):

[tex]m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

Now, let's solve for the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in any of the given points:

[tex]1=2(2)+b\\1=4+b\\b=-3[/tex]

Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x-3[/tex]

Answer

[tex]y=2x-3[/tex]

What’s the answer I need help asap

Answers

Answer:

The equation is y = x-2

The equation of the line will be y = x - 2.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line is,

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

From the given table consider the two points as,

( 14, 12 )

( 13, 11 )

The slope is calculated as,

[tex]m = \dfrac{12 - 14}{11-13}[/tex]

m = 1

The y-intercept is calculated as,

y = mx + c

y = x + c

12 = 14 + c

c = -2

The equation of the line can be written as,

y = mx + c

y = x - 2

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Jabrin was tossing a ball up in the air and catching it. He found that in 50 tries, he could catch it 45 times. He is going to do this 33 more times. Predict how many times Jabrin will catch the ball out of these 33 tosses.

What is the exact prediction? What is the realistic prediction?

Answers

Answer:

As the question states, predict how many times. I don't get the "realistic" prediction part, but however,

he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.

i cant figure this problem can you guys help/i cant figure this problem can you guys help?

Answers

Answer:

50.0in²

Step-by-step explanation:

C=2πr

25.12/2π=r

r=3.99(taking π=22/7)

Area=πr²

=22/7×(3.99)²=50.0in²

Can someone help with these questions?

Answers

Answer:

Step-by-step explanation:

#1. 5 and 51/2 since it has the greatest amount of dots  and  #2. 5.5, 6.0, and 8.0 since it has the least amount of dots

Answer:

1. 5 and 5 1/2

2. 5.5, 6.0 and 8.0

Step-by-step explanation:

1. Both shoe sizes had the most number of dots.

2. All three pearl sizes have the least number of dots.

What is the meaning of ^​

Answers

Answer:

Symbol. ^ or (English symbol name wedge) (mathematics, logic) The conjunction operator, forming a Boolean-valued function, typically with two arguments, returning true only if all of its arguments are true. (mathematics) wedge product

Answer;

It is the symbol used in computer language to denote the square or cube or other power of any number . for example; 2^2, it means the square of 2.

Which of these numbers is the greatest?

0.36
0.63
0.631
0.361

Answers

Answer:

0.631

Step-by-step explanation:

I need a lot of help!
Is 54.03 + 4.04 greater than 54 + 4.4?

Answers

Answer:

54+4.4 is greater

Step-by-step explanation:

if u need explanation than please ask

Please Help there are 3 questions.

Answers

Answer:

1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.

8/2=4, which means we need to look at the 4th,5th and 12th,13th.

The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.

2)113

3)37

last question i have to ask ‘calculate the area of the shaded space’ please and thank you.

Answers

Answer:

21.5 square m

Step-by-step explanation:

You find the area of the shaded space by finding the area of the square and the removing the area of the circle.

The area for the square is 10x10=100.

All you have to do is follow the formula, (3.14)r^2. However, the 10 is NOT the diameter! The radius is half of the diameter. So, it's 3.14x5x5, which is 3.14x25=78.5.

Then, you can do 100-78.5=21.5

Paulina plays both volleyball and soccer. The probability of her getting injured playing volleyball is 0.10.10, point, 1. The probability of her getting injured playing soccer is \dfrac{1}{10} 10 1 ​ start fraction, 1, divided by, 10, end fraction. Which of these events is more likely? Choose 1 answer: Choose 1 answer:

Answers

Answer: Both of these events are more likely.

Step-by-step explanation:

Since we have given that

Probability that she is getting injured playing volleyball = 0.1

Probability that she is getting injured playing soccer is given by

Since we need to compare both the probabilities so, for this we first need to change the second probability in decimal form.

So,

since both the events have same probability.

Hence, Both of these events are more likely.Step-by-step explanation:

What is the simplest form of 2 square root 3 / square root 6
A. square root 2
B. square root 3
c. 3 square root 2
D. 2 square root 3

Answers

Answer:

C

Step-by-step explanation:

2√3 / √6                            Multiply top and bottom by √6

(2√3 * √6) / (√6  √6  )       Combine left factors

(2 √18) / (√6  √6  )             (√6  √6  )  = 6

(3 √18) / 6                            Factor 18

(3 √2 * 3 * 3                         Take one 3 outside the brackets. Discard the other three.

3*3 *2√2/6                              Divide top and bottom by 6

Answer: 3  √2

Answer:

Step-by-step explanation:

A. square root of 2, Took it on edg. and passed.

How do I find the length of K?

Answers

Answer:

  i) 3.7 cm

  ii) 3.0 cm

Step-by-step explanation:

When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.

__

i)

The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...

  Tan = Opposite/Adjacent

  tan(63°) = k/(1.9 cm)

  k = (1.9 cm)tan(63°) ≈ 3.7 cm

The length k is about 3.7 cm.

__

ii)

Again, the tangent function can be used to solve this triangle.

  tan(42°) = (2.7 cm)/p

  p = (2.7 cm)/tan(42°) ≈ 3.0 cm

The length p is about 3.0 cm.

What is the surface area of the rectangular prism shown below?



A. 348 in2

B. 174 in2

C. 432 in2

D. 336 in2

Answers

The surface area of a rectangular prism with sides 9 inches, 8 inches and 6 inches is 348 inches²

Surface area of a rectangular prism

surface area = 2(lw + lh + wh)

where

l = lengthw = widthh = height

Therefore,

l = 8 inches

w = 6 inches

h = 9 inches

surface area = 2((8 × 6) + (8 × 9) + (6 × 9))

surface area = 2((48) + (72) + (54))

surface area = 2 (174)

surface area = 348 inches²

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Answer:

its 348, give other person branliest

Step-by-step explanation:

find the vertex for the function:
y = 6(x + 3)^2 - 1

Answers

Answer:

The vertex would be (-3, -1)

Step-by-step explanation:

Since this is in vertex form already, a(x-h)^2+k  where h is the x value of the vetex, and k is y.

We would take the opposite of +3 and get -3, which gives us our x cordinate.

We don't change the k value, so it just stays -1, giving us our y value.

Therefore, the vertex is at (-3, -1)

Hope this helps!

Describe the orbit of a complex number under iteration. Please hurry!

Answers

Answer:

The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.

y is directly proportional to (x-4) when x=16, y=3 find y in terms of x

Answers

Answer:

y = ¼(x-4)

Step-by-step explanation:

Before solving the question, let's look at one example,

A is directly proportional to B means A∝B which also means A=kB where k is a constant.

In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).

Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),

3=k(16-4)

k=3/12

k=1/4

After that, substitute the k value into the equation,

y = ¼(x-4)

y = x/4 - 1

Step by step explanation in pic

What is the area of this figure?
22 mi
8 mi
10 mi
5 mi
9 mi
11 mi
4 mi
6 mi

Answers

Answer:

318 mi²

Explanation:

area of triangle =  1/2 * base * height =  1/2 * 22 * (10+6+3) = 209 mi²

area of right bottom rectangle = Length * Width = 11 * 5 = 55 mi²

bottom upright rectangle = Length * Width = 9 * 6 = 54 mi²

total area = 209 mi² + 55 mi² + 54 mi² = 318 mi²

Area of Vertical rectangle:-

9(6)54mi²

Area of horizontal rectangle

11(5)55mi²

Area of triangle

1/2(22)(10+6+3)11(19)209mi²

Total:-

209+55+54318mi²
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