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We are required to find the volume of the object which comprises of a cylinder and a cone

The volume of the object is 108 in³

Volume of a cylinder = πr²h

π = 3

r = diameter / 2 = 4 in / 2 = 2 in

h = 8 in

Volume of a cylinder = πr²h

= 3 × (2 in)² × 8 in

= 3 × 4 in² × 8 in

= 96 in³

Volume of a cone = πr²h/3

= (3 × (2 in)² × 3 in) / 3

= (3 × 4 in² × 3 in) / 3

= 36 in³ / 3

= 12 in³

The volume of the object can be found by adding the volume of the cylinder and the volume of the cone

Total volume = Volume of a cylinder + Volume of a cone

= 96 in³ + 12 in³

= 108 in³

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The two triangles are equivalent triangles

Flowchart proofs are organized with boxes and arrows.

The statements given are written in the box and the reason of that statement is written just below the box.

Every statement if flowchart proof complements other statement.

The correct answer is

∠AZ = ∠BX

The two triangles are equivalent triangles.

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Answer:

10miles

Step-by-step explanation:

Answer:

I have no clue what is going on wit dis g

Answer:

It's False Because Hypotenuse will be the longest side of leg here

Answer:

length = 11 ft

breathe = 5 ft

perimeter of rectangle = lxb

= 11ft x 5ft

= 55 ft

the answer is 55 ft

Answer:

Perimeter of rectangle = 2(l+b)

=2(11+5)

=2x16=32ft

Step-by-step explanation:

gradient(m)=change in y/change in x

=5-1/-9-(-4)

=4/-9+4

=4/-5

equation now

y-y1=m(x-x1)

y-1=4/-5[x-(-4)]

y=4/-5(x+4)+1

y=-4/5x-16/5+1

y=-4/5x-21/5

Answer:

y = -4/5x - 11/5

Step-by-step explanation:

First, find the slope using the slope formula.

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{1-5}{-4-(-9)}\\\\m=-\frac{4}{5}[/tex]

Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.

[tex]y-y_1=m(x-x_1)\\\\y-1=-\frac{4}{5}(x+4)\\\\y-1=-\frac{4}{5}x-\frac{16}{5}\\\\y=-\frac{4}{5}x-\frac{11}{5}[/tex]

The sample space of the probability experiment: shooting a free throw in basketball. is [tex]n(X)=2[/tex] from the calculations below

Sample space:In probability theory, the sample space (also called sample description space of an experiment or random trial is the set of all possible outcomes of the experiment.

Let

The sample space for a player shooting single free throws be equal to X

Let Scored free throws be A

And missed free throws be B

Generally the possible outcomes is mathematically given as

[tex]X=(A,B)[/tex]

Therefore

In conclusion the Sample space of the probability experiment of shooting a free throw in basketball is

[tex]n(X)=2[/tex]

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Answer

8956

explanation step by step

Answer: numbers are 8956 and 62692

Step-by-step explanation:

Let the numbers be x and 7x

ATQ

x + 7x = 71648

8x = 71648

x = 71648/8

x = 8956

Therefore the numbers are 8956 and 62692 respectively

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Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

Answer:

1440 in^3

Step-by-step explanation:

The formula for finding volume is l*h*w.

l*h*w is length multiplied my height multiplied my width. Lets use this formula to find the volume of the rectangular prism.

Here is the information we know about the rectangular prism:

the length is 20 inches

the height is 6 inches

the width is 12 inches

Lets put this information into the formula to find the volume of the rectangular prism. I will show the work in steps so it is easy to follow.

Step one: plug the given information into the formula.

l*h*w = 20*6*12

Step two: Solve the equation.

20*6*12 = 120*12 = 1440

And there you have it! Our final answer is 1440 in^3.

I hope this helps!

Answer:

here's the answer to your question

Answer:

3468 children.

Step-by-step explanation:

One apple per person.

Answer:

Step-by-step explanation:

3x° + 60° = 360°

3x = 360 - 60

3x = 300

x° = 100°

1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888

2. -294912

3. 16

Answer:

1. x = 24

2. x = 31

Step-by-step explanation:

For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.

For number 2,  2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.

Answer:

1. 24

2. 31

Step-by-step explanation:

1. opposite angles are equal

( 3x-1)°=71°

3x=72

x=24

2. remember opposite angles are equal,

180°= (2x)°+(4x-6)°

186=6x

x=31

(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that

1000x - 100x = 3123.333… - 312.333…

==>   900x = 2811

==>   x = 2811/900 = 937/300

(b) x = 4.38555…   ==>   100x = 438.555… and 1000x = 4385.555…

==>   900x = 3947

==>   x = 3947/900

(c) x = 37.222…   ==>   10x = 372.222…

==>   9x = 335

==>   x = 335/9

(d) x = 16.292929…   ==>   100x = 1629.292929…

==>   99x = 1613

==>   x = 1613/99

(e) x = 2.333…   ==>   10x = 23.333…

==>   9x = 21

==>   x = 21/9 = 7/3

Answer:

10.8

Step-by-step explanation:

√(5-(-5))² + (8 -4)²

√10² + 4²

√100+16

√116 = 10.8

[tex]\\ \sf\longmapsto CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{(5+5)^2+(8-4)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{(10)^2+(4)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{100+16}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{116}[/tex]

[tex]\\ \sf\longmapsto CD=10.4[/tex]

Answer:

1/4

Step-by-step explanation:

1/3(1 - 1/4)

Parentheses first

1/3 (4/4-1/4)

1/3 (3/4)

Rewritng

1/4 *3/3

1/4

Answer:

3/12 or 0,25

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 2x   ;  b = 3y

(2x)²= 2x * 2x = 4x²

(3y)²  =3y * 3y = 9y²

(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²

              = 4x² + 12xy + 9y²

Answer:

4

Step-by-step explanation:

The period is the length of one cycle.

By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.

The length of one cycle of this graph is 4.

The period of function is,

P = 4

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 4

Therefore, The period of function is,

P = 4

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Answer:

43°

Step-by-step explanation:

to calculate this angle you have to find the value of angle x because the two are equal since they originate from the same arc to find angle y,you subtract the sum of 90 and 47 by 180, because they form a triangle and the top part of that triangle is 90°( the angle at the circumference is half the angle at the center 180/2=90°)

90+47+x=180

x=180-137

x=43°

therefore y=43

I hope this helps

Answer:

this is your answer 30,260,340

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

Answer:

The answer is B.

Step-by-step explanation:

Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

Answer:

1) Distance=Speed*time

90=(x+1)*(x)+(2x+5)(x-1)

90=x^2+x+2x^2-2x+5x-5

3x^2+4x-95=0

2) 3x^2+4x-95=0. Using quadratic formula, we get

x=(-4±sqrt(16-4*3*(-95)))/6, x=5 or - 19/5 but since x also represents time, it can't be negative.

3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours

Answer:

13

Step-by-step explanation:

78 + b = 91            Equation: Subtract 78 from both sides.

b = 91 - 78            

b = 13

You don't need her position in the game or the fact that 91 placed her second.  

Answer:

6w+2

Step-by-step explanation:

Answer:

w^3 + 7w^2 + 6w - 24

Brainliest, please!

Step-by-step explanation:

(w + 4)(w^2 + 3w - 6)

w^3 + 3w^2 - 6w + 4w^2 + 12w - 24

w^3 + 7w^2 + 6w - 24

Answer:

7 and 42

Step-by-step explanation:

The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42