A cone has a circular base with a diameter of 18 inches the height of the cone is 40inches what is the approximate lateral area of the cone

Answers

Answer 1

Answer:

[tex]A=1158.66\ \text{inches}^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the base of a circular cone, d = 18 inches

Height of the cone, h = 40 inches

We need to find the lateral surface area of the cone. The formula of the lateral surface of the cone is given by :

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

l is the slant height of the cone,

[tex]l=\sqrt{r^2+h^2} \\\\l=\sqrt{(9)^2+(40)^2} \\\\l=41\ \text{inches}[/tex], d = 18 inches, r = 9 inches

So,

[tex]A=3.14\times 9\times 41\\\\A=1158.66\ \text{inches}^2[/tex]

So, the lateral surface area of the cone is [tex]1158.66\ \text{inches}^2[/tex].


Related Questions

help asap please:) i don’t know

Answers

Answer:

Step-by-step explanation:

area of triangle = 1/2 × b × h

here,

b = 37 m

h = 30 m

so area = 1/2 × b × h

= 1/2 × 37 × 30

= 555 m^2

hope this helps

plz mark as brainliest!!!!!!!

Which simplified fraction is equal to 0.53 repeat ? A.24/46 B.8/15 C.42/90 D.5/9

Answers

Answer:

To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given

24/45=0.533...

8/15=0.533...

48/90=0.533...

5/9=0.5556

As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The fraction that equals 0.53 is (8/15).

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of the given fractions is equal to,

A.)

[tex]\dfrac{24}{46} = 0.5217[/tex]

B.)

[tex]\dfrac{8}{15} = 0.5333[/tex]

C.)

[tex]\dfrac{42}{90} = 0.4666[/tex]

D.)

[tex]\dfrac{24}{46} = 0.55556[/tex]

Hence, the fraction that equals 0.53 is (8/15).

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what value of x makes the equation true
2 (6x-1) = -38

Answers

Answer:

[tex] \boxed{\bold{\boxed{ \sf{x = - 3}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2(6x - 1) = - 38}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{12x - 2 = - 38}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{12x = - 38 + 2}[/tex]

Calculate

⇒[tex] \sf{12x = - 36}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12x}{12} = \frac{ - 36}{12} }[/tex]

Calculate

⇒[tex] \sf{x = - 3}[/tex]

Hope I helped!

Best regards!!

Which of the following is not the same as 1.69 meters? 0.0169 km 0.169 dkm 169 cm 1,690 mm

Answers

Answer:

0.0169 km.

Step-by-step explanation:

km - kilometers (One kilometer is equal to 1000 meters.)

dkm - dekameters (One dekameter is equal to 10 meters.)

cm - centimeters (One centimeter is equal to 0.01 meters.)

mm - millimeters (One millimeter is equal to 0.1 meters.)

Used a calc to check each of the values to see if they equal 1.69m and km was the one that wasn't equal. Instead it was 16.9.

Answer:

1.69 meter

Step-by-step explanation:

how would i find y i need helppp

Answers

Answer:

C

Step-by-step explanation:

sin30° = y/6

sin30° = 1/2

y/6 =  1/2

y = 3

How many significant digits are in
17.090?

Answers

Answer: 4

Step-by-step explanation:

Answer:

there are 5 significant digits

Rachel is making nachos for a party. The recipe calls for 2/3 cup of cheese for each plate of nachos. Part A: How many full plates of nachos can Rachel make with 5 cups of cheese? Part B: How many more cups of cheese would Rachel need to make 9 plates of nachos?

Answers

Part A:

We need to divide

5 ÷ 2/3

5/1 ÷ 2/3

5/1 * 3/2

15/2 or 7 1/2 plates of nachos.

Part B:

If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.

ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates

6 - 5 = 1 more cup of cheese she needs to make 9 plates

Best of Luck!

This agency preserves and promotes public confidence in the U.S. Financial system by insuring deposits in banks and thrift institutions for at least $250,000.

Answers

The answer is FDIC (Federal Deposit Insurance Corporation)

The altitude of a right square prism is of length 12 and its base has a side of length 8. What is the lateral surface area of this prism?
A. 484 units²
B. 48 units²
C. 192 units²
D. 384 units²

Answers

Answer:

D. 384 units²

Step-by-step explanation:

Hey there!

Well a right square prism's bases are squares meaning the area of the base is 64 units².

Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.

Now we only have 4 sides to find the area of,

h = 12

l/w = 8

A = (12*8) * 4

A = 96 * 4

LSA = 384 units²

Hope this helps :)

The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]

What is Lateral surface area?

The lateral surface area of an object is the total area of its sides excluding its top and the bottom.

What is a right square prism?

A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.

How to find the lateral surface area of right square prism?

The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:

Lateral surface area=4(length*breadth)

The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,

Lateral surface area of right prism=4(12*8)

=4*96

=384

Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]

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4)
Jason is on a diet. His goal is to lose 5.9 pounds per month. How much weight will he have lost after 3.3 months?

Answers

Answer:

if he lost 5.9 in 3.3 months he we would lost weight.

5.9* 3.3 19.47lbs

If given an equation of a line such as y = -1/2x + 6, demonstrate on the whiteboard how to create an equation of a line parallel and perpendicular to this line that goes through another point such as (4, 10).

Answers

Answer:

parallel line y = -1/2x + 12

perpendicular line y = 2x + 2

Step-by-step explanation:

slope = -1/2

perpendicular slope = 2

y = mx + b

10 = -1/2(4) + b

10 = -2 + b

12 = b

y = -1/2x + 12

10 = 2(4) + b

10 = 8 + b

2 = b

y = 2x + 2

B=(5,6)is a set. From this set make all possible ordered pairs.​

Answers

5,6 and6,5

Step-by-step explanation:

there is only two ordered pairs of 5,6that is itself and 6,5

Answer:

the two possible orders are 5,6 and 6, 5

f(x) = √x+7 = ; g(x) = 8x - 11 find f(g(x))

Answers

Answer:

[tex]f(g(x)) = \sqrt{8x - 4} [/tex]

Step-by-step explanation:

[tex]f(x) = \sqrt{x + 7} \\ \\ g(x) = 8x - 11[/tex]

To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it by g (x)

We have

[tex]f(g(x)) = \sqrt{8x - 11 + 7} [/tex]

We have the final answer as

[tex]f(g(x)) = \sqrt{8x - 4} [/tex]

Hope this helps you

HELP ME Four students each wrote an equation. Which two students wrote equations that have no solution?

Answers

Answer:

Beto and Mark

Step-by-step explanation:

When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.

Beto and mark I think sorry if it is wrong

In the expression 2x - 8 what is x referred to as?

1. coefficient
2. variable
3. constant

Which is NOT an equation?

1. 5 - 4x
2. 6x - 5 = 8
3. x/3 + 9 = -1

Answers

Answer:

Step-by-step explanation:

A) 2x - 8

x is called variable

Option 2

B) 5 - 4x  is not a equation

Option 1

a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.​

Answers

Answer:

Step-by-step explanation:

A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.

Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.

In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.

If 3 cups of flour are added then 3 times of other ingredients will be required.

So the table will be,

Number of loaves   Cups of flour   Tablespoons of water    Teaspoons of salt

         1                             2                        12                                1

         2                             4                       24                                2

         4                             8                       48                                4

         3                             6                       36                                3

What constitutes a function

Answers

Answer:

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...

I can't get to get this right can you please help me​

Answers

Answer:

[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

[tex](-7,4][/tex]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.

And in set notation, this is:

[tex]\{x|-7<x\leq 4\}[/tex]

Answer:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

(-7,4](−7,4]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.

And in set notation, this is:

\{x|-7

please help me on this geometry i’ll mark u the brainliest

Answers

Answer:

              XN = 6

Step-by-step explanation:

If XY is bisector of angle AXN then:   [tex]\dfrac{YN}{AY}=\dfrac{XN}{AX}[/tex]

[tex]\dfrac4{12}=\dfrac{XN}{18}\\\\XN=\dfrac4{12}\cdot18\\\\XN=6[/tex]                                                            

Which exponential function is represented by the table below? x –2 0 2 4 y 16 4 1 14 A. 4⋅2x B. 14⋅4x C. 4⋅(12)x D. 4⋅(14)x

Answers

The exponential function represented by the table is given as follows:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

a is the initial value.b is the rate of change.

Considering the table:

When x = 0, y = 4, hence a = 4.When x changes by 2, y changes by 1/4, hence b = 1/2.

Then the equation is:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

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if sin theta=1/root 3, then find the value of (tan theta + 1/cos theta)^2 + (tan theta - 1/cos theta)^2

Answers

Answer:

4

Step-by-step explanation:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{3} }\\ \\Therefore, opposite= 1, hypotenuse=\sqrt{3}. \ using \ Pythagoras:\\\\Hypotenuse^2=Adjacent^2+Opposite^2\\\\(\sqrt{3})^2 =Adjacent^2+1^2\\\\3=Adjacent^2+1\\\\Adjacent^2=3-1=2\\\\Adjacent=\sqrt{2}[/tex]

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}=\frac{\sqrt{2} }{\sqrt{3}}\\ \\tan(\theta)=\frac{opposite}{adjacent } = \frac{1}{\sqrt{2}} \\\\Therefore:\\\\(tan(\theta)+\frac{1}{cos(\theta)})^2+ (tan(\theta)-\frac{1}{cos(\theta)})^2=( \frac{1}{\sqrt{2}}+\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2+( \frac{1}{\sqrt{2}}-\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2\\\\=( \frac{1}{\sqrt{2}}+ \frac{\sqrt{3} }{\sqrt{2}} )^2+( \frac{1}{\sqrt{2}}- \frac{\sqrt{3} }{\sqrt{2}} )^2[/tex]

[tex]=(\frac{1+\sqrt{3} }{\sqrt{2} } )^2+(\frac{1-\sqrt{3} }{\sqrt{2} } )^2=\frac{1+2\sqrt{3}+3 }{2} +\frac{1-2\sqrt{3}+3 }{2} =\frac{1+1+2\sqrt{3}-2\sqrt{3}+3+3 }{2} =\frac{8}{2}=4[/tex]

a number plus 12 is 36. write an equation and use equation to solve

Answers

Answer:

24

Step-by-step explanation

36-12=24

Its as simple as that.

A number plus 12 is 36. The equation for the given calculation is 36 - 12 = 24.

What is the arithmetic equation?

Arithmetic is the fundamental branch of mathematics that covers number operations. Addition, subtraction, multiplication, and division are the operations involved.

The difference between each consecutive term in an arithmetic series is constant. The series 3, 5, 7, 9..., for example, is arithmetic because the difference between consecutive terms is always two.

Because the difference between subsequent words is always negative five, the sequence 21, 16, 11, 6... is also arithmetic.

Let the number added to 12 is x

Then,

12 + x = 36

x = 36 - 12 = 24

Therefore, the equation for the given calculation is 36 - 12 = 24.

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Please help me on this question

Answers

Answer:

2+7=9

450/9 = 50

2( 50) = 100 no concentrate

7(50) or 450 - 100 = 350 ml water

HELP HELP HELP PLEASE ASAP

Answers

Answer:

0.37 feet.

Step-by-step explanation:

The following data were obtained from the question:

Volume (V) = 4100 ft³

Height (h) = 1.8 miles

Radius (r) =?

Next, we shall convert 1.8 miles to foot.

This can be obtained as follow:

Recall:

1 mile = 5280 ft

Therefore,

1.8 miles = 1.8 × 5280 = 9504 ft

Finally, we determine the radius as follow:

Volume (V) = 4100 ft³

Height (h) = 9504 ft

Pi (π) = 3.14

Radius (r) =?

V = πr²h

4100 = 3.14 × r² × 9504

4100 = r² × 29842.56

Divide both side by 29842.56

r² = 4100/29842.56

Take the square root of both side

r = √(4100/29842.56)

r = 0.37 ft

Therefore, the radius of the hole is 0.37 feet.

A runner gets a 30.0 meter head start then runs 5.0km/hr. Write an equation which will represent the runners distance from the start line at any second

Answers

Answer:

d = 1.4 t + 30

Step-by-step explanation:

Head start means any advantage achieved or advantage gained in any race or competition.

In the context, the runner is gained a head start of 30 meter from the starting point.

It is also given that the speed with which the runner is running is 5.0 km per hour.

Therefore, the equation that gives the distance covered by the runner from his start line at any time in seconds is given by d = 1.4 t + 30.

Write the slope intercept form for a line that goes through the points (5,6) and
(6,9).

Answers

Answer:

[tex]\huge\boxed{Slope = 3}[/tex]

Step-by-step explanation:

The coordinates are (5,6) and (6,9)

Slope = Rise / run

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{9-6}{6-5}[/tex]

Slope = [tex]\frac{3}{1}[/tex]

Slope = 3

Answer:

[tex]slope = 3[/tex]

Hope this helps you

brainliest plz

The probability of spinning an even number on a spinner is 0.4. What is the probability of not spinning an even number, expressed as a percent?

Answers

Answer:

60%

Step-by-step explanation:

There are only even and odd numbers.  If a number is not even, it is odd.  If the probability of spinning an even number is 0.4, or 40%, then just subtract that by the whole spinner, which is equivalent to 100%:

100% - 40%

= 60%

This means that the odds of spinning an odd number is 60%

Hope this helps!  Tell me if I'm wrong please!

Answer:

60%

Step-by-step explanation:

60=-5(-6-3z)
Find the solution ​

Answers

Answer:

z=2

Step-by-step explanation:

60=-5(-6-3z)

60= 30+15z

60-30=15z

30/15=15z/15

2=z

Which one is greater 10 squared or 22/7

Answers

Answer:

(22/7)²

576/49

is your answer hope it's help u

What is the ratios 15cm: 5m lowest term?

Answers

you divide both numbers by their largest common factor, which is 5 in this case.
15(/5):5(/5)
3:1
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