Given the area of circular base and the area of curved surface of the cone are 98.56 cm² and 264 cm² respectively. Find the height of the cone, in cm.​

Answer:

C

Step-by-step explanation:

The diagram of the cone is drawn and attached below.

We are given the following information:

Therefore, the label which represents the center of the base is C.

The label that represents the center of the base of the cone is the center of the base.

A cone is a three-dimensional object that is made up of a circular base and  a pointed edge at the top known as the vertex. The cone is made up of the radius, slant height and the height.  The center of a cone is the center of the base of the cone.

To learn more about a cone, please check: https://brainly.com/question/13705125

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Answer:

4 gallons

Step-by-step explanation:

Say that g = the number of gallons of a 20% salt solution,

The first thing we want to do here is to convert each " percentage " into decimal form, to make things a bit simpler here.

( [tex]20(percent) = 0.20[/tex]

( [tex]30( percent ) = 0.30[/tex]

( [tex]25( percent ) = 0.25[/tex]

Before this mixture takes place, the 20% salt solution is associated with g, the number of gallons of a 20% salt solution. Respectively the 30% salt solution is associated with 4 gallons. After mixing the two ( g and 4 ) the 25% salt solution should be associated with g + 4. We can therefore conclude the following equation -

0.20( g )+0.30( 4 ) = 0.25( g + 4 )

And now, let us solve for " g, "

0.2g + 1.2 = 0.25g + 1

- 0.2g       = - 0.2g

_________________

1.2 = 0.05g + 1

- 1  =          -  1

_________________

0.2 = 0.05g,

g = 4 gallons of a 20% salt solution

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

Answer:

Hey there!

The line 4x-3y=-9 can be converted to y=mx+b form.

4x-3y=-9

-3y=-4x-9

3y=4x+9

y=4/3x+3

The slope of a line perpendicular to this line would be -3/4.

The slope of a line parallel to this line would be 4/3.

Hope this helps :)

Answer: 19t +100

Step-by-step explanation:

19t +100  where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.

Answer:

19t+100

Step-by-step explanation:

it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot

Answer:

Negative 1/300

Step-by-step explanation:

I took the qiuz

Answer:

271.80

Step-by-step explanation:

using the proprtionality we get

Answer:

y=|x + 8|  

Step-by-step explanation:

y = f(x + C) C > 0 moves it left

y=|x + 8|  since we want to move it 8 units to the left

Answer:

y = |X + 8|

Step-by-step explanation:

This seems counterintuitive. However, if you've studied a graph of an equation, you would notice two observations:

1. If you add a positive integer to the X, the graph would shift to the left

2. (The converse) if you add a negative integer to the X, the graph would shift right.

Answer: 5

Step-by-step explanation:

4x+8=8x-12

20=4x

5=x

Answer:

5.

Step-by-step explanation:

Let's say that the mysterious number is x.

8 more than 4 times x equals 12 less than 8 times x.

8 + 4x = 8x - 12

8x - 12 = 4x + 8

8x - 4x = 8 + 12

4x = 20

x = 5

Hope this helps!

Answer:

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Step-by-step explanation:

Given;

Distance to her parent's house = 240 miles

Total distance travelled (to and fro) = 240×2 = 480 miles

Total time taken t = 8 hours

On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)

Let x and y represent her speed to and from her parent's house respectively.

x = y+25 ......1

The time taken to her parent's house is;

time = distance/velocity

t1 = 240/x = 240/(y+25)

The time taken from her parent's house is;

time = distance/velocity

t2 = 240/y

Total time taken t = t1 +t2

t = 240/(y+25) + 240/y = 8

Solving for y ;

(240y + 240(y+25))/(y^2 +25y) = 8

Cross multiply;

240y + 240y+6000 = 8y^2 + 200y

480y +6000 = 8y^2 + 200y

8y^2 + 200y -480y -6000 = 0

8y^2 - 280y - 6000 = 0

Divide through by 8;

y^2 - 35y - 750 = 0

Solving the quadratic equation;

y = 50

or

y = -15

Velocity cannot be negative, so y = 50mph

From equation 1;

x = y+25

Substituting y =50

x = 50 + 25

x = 75 mph

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Answer:

10,000 is the answer to ur question

Answer:

10000

Step-by-step explanation:

√100000000 = 10000

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

Answer:

y=5 degrees

Step-by-step explanation:

It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.

4y+10=30

4y=20

y=5 degrees

Answer:

2d

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, thus

a₃ - a₁

= a₁ + 2d - a₁

= 2d

Answer:

A rational number is a number that can be written in the form  

p

q

, where  

p

and  

q

are integers and  

q

≠

o

.

Answer:

6 / x^2

Step-by-step explanation:

2/x^2+4/x^2

Denominators are equal so add the fractions.

2 + 4 / x^2

6 / x^2

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The answer would be 6/^x2

I attached a picture below, sorry for the bad handwriting

By xBrainly

Answer:

77

Step-by-step explanation:

you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer

Answer:

See below.

Step-by-step explanation:

June: $32

July: $45

August: $43

[tex]32+45+43=120[/tex]

Kyree has $120 in total.

School supplies: $17

Clothes: $26

[tex]26 +17=43[/tex]

[tex]120-43=77[/tex]

Kyree has $77 left.

:)

Answer:

greatest common factor

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Step 1: Subtract 1/2x on both sides

-1/4x - 1/8 = 7/8

Step 2: Add 1/8 on both sides

-1/4x = 1

Step 3: Divide both sides by -1/4

x = -4

Answer:

x = -4

Step-by-step explanation:

1/4x-1/8=7/8+1/2x

Add 1/8 to each side

1/4x-1/8+1/8=7/8+1/8+1/2x

1/4 x = 1 + 1/2x

Subtract 1/2x from each side

1/4x -1/2x = 1 + 1/2x -1/2x

Getting a common denominator for the x terms

1/4x -2/4x =1

-1/4x = 1

Multiply by -4

-4 * -1/4x = 1* -4

x = -4

Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

Answer: y=-5

Step-by-step explanation:

A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.

Answer:

1.   2 1/4 cups  

2.  2 7/20 cups

Answer:

2 1/4 and 2 7/20

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

Answer:

9 comedy

12 horror

Step-by-step explanation:

First, there are 360 degrees in a circle.

Comedy = 90 degrees

Action and romance = 90 degrees combined

Horror = 120 degree

Science fiction = 60 degrees

To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees

36 students took the survey.

1/4 × 36 = 9

Horror is 120 degrees out of 360 degrees or 1/3 of the circle.

1/3 × 36 = 12

Answer: 12 students

Step-by-step explanation:

360* circle, 1 student per 10* so 120* = 12 students.

To double check, 90* = 9 students.

Answer:

A (0,-3) and D(4,5)

Step-by-step explanation:

Given system of equations

y = x2 - 2x-3

y = 2x - 3

Solution to these will be value of x for which value of y in both equation will  same.

In graph, solution will point at which  curve of both equation intersect each other

To solve this we will equate the two  equations

[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]

Thus, value of x is 0 and 4

we will put this value in given set of equation.

y = 2x- 3

taking x  = 0

y = 2*0 -3 = 0-3 = -3

one solution is (0,-3)

taking x = 4

y = 2*4 - 3 = 8-3 = 5

Another solution is (4,5).

Though , the problem is solved we will see it this value satisfies other equation or not better understanding

y = x^2 - 2x-3

taking x = 0

y = 0^2 - 2*0-3 = -3

one solution (0,-3)

taking x = 4

y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5

other solution (4,5)

thus, we see both equation gives same set of solution.

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

=

n = 0

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

128 square feet

Step-by-step explanation:

Let the perimeter of the rectangular garden be expressed as 2(L+W)

L = length of the garden

W = width of the garden

If the length of the garden is twice its ​ width then L = 2W; W = L/2

P = 2(L+L/2)

Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)

Substituting in the formula above:

32+L = 2(L+L/2)

32+L = 2L+L

32 = 2L

L = 16 feet

Since L = 2W

W = L/2 = 16/2

Width = 8 feet

Area of the garden = Length × Width

Area of the garden = 16×8

Area of the garden = 128 square feet

The area of the​ rectangular garden is equal to 128 square feet.

Given the following data:

Translating the word problem into an algebraic equation, we have;

The length of the garden is twice its​ width:

[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]

Length, L = 16 feet.

For the width:

[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]

Width, W = 8 feet.

Now, we can calculate the area of the​ rectangular garden:

[tex]Area = LW\\\\Area = 16 \times 8[/tex]

Area = 128 square feet.

Read more on area of a rectangle here: https://brainly.com/question/25292087

Answer:

The correct answer is C.

Step-by-step explanation:

I solved by finding for X. Hope this helps!

Answer:

option c is correct.

hope it will help u...

Answer: 4 pounds

Step-by-step explanation:

Mark has $9.10 to buy fruits.

6 pounds of apple at $0.99 will cost $5.94

Balance 9.10 - 5.94 = 3.16

Bananas are $0.79 a pound

For $3.16, he will get

3.16 / 0.79 = 4 pounds of bananas