work out the volume of a frustum please help me i’ll give u brainleist

Work Out The Volume Of A Frustum Please Help Me Ill Give U Brainleist

Answers

Answer 1

Answer:  137.25π ≈ 431.18 cm³

Step-by-step explanation:

Entire Cone - Tip of Cone = Frustrum

[tex]V_{cone}=\dfrac{1}{3}\pi r^2h\\\\\\V_{Entire}=\dfrac{1}{3}\pi (6)^2(12)\quad =\quad 144\pi\\\\V_{Tip}=\dfrac{1}{3}\pi \bigg(\dfrac{6}{4}\bigg)^2\bigg(\dfrac{12}{4}\bigg)\quad =\quad \dfrac{27}{4}\pi\\\\\\\\V_{Frustrum}=V_{Entire}-V_{Tip}\\\\.\qquad \qquad =144\pi-\dfrac{27}{4}\pi\\\\.\qquad \qquad =\dfrac{549}{4}\pi\\\\.\qquad \qquad =137.25\pi\\\\.\qquad \qquad=\large\boxed{431.18}[/tex]

Answer 2

Answer: 137.25π ≈ 431.18 cm³

Step-by-step explanation:

Entire Cone - Tip of Cone = Frustrum


Related Questions

TWO MINUTES HURRY HELP ME PLEASE

Answers

Answer:

x=-1

Step-by-step explanation:

Answer: x. = -1

Step-by-step explanation:

Determine if the equation defines y as a function of x: y2 = x2. yes or no

Answers

Answer:

no it's not, since y has two functions , a positive and negative in terms of x.

What is the measure of circumscribed ∠X? 45° 50° 90° 95° please answer asap

Answers

Answer:

90°

Step-by-step explanation:

Data provided in the question

Angle V = right angle = 90°

YX and WX = tangents,

And YV and WV = radii

So, we can say that

Angle Y = 90°

And,

Angle  W = 90°

Now as we know that sum of four interior angles is 360°

So,

the equation is  

V + Y + W + X = 360°

90° + 90° + 90° + X = 360°

270° + X = 360

Therefore,

X = 360° - 270°

= 90°

Answer:

c. 90

Step-by-step explanation:

Simplify: -(-x + 1) -x − 1 x − 1 -x + 1 x + 1

Answers

Answer:

x -1

Step-by-step explanation:

-(-x + 1)

Distribute the minus sign

- 1 * -x  + -1 (-x)

x -1

Steps to solve:

-(-x + 1)

~Distribute the negative sign

(- * -x) + (- * 1)

~Simplify

x - 1

Best of Luck!


which equation represents a line that is parallel to the y axis, is perpendicular to the x-axts, and has an undefined slope?
o v = 2 + + 3

Answers

Answer:

x=7/2

Step-by-step explanation:

Answer:

X=7/2

Step-by-step explanation:

On a school trip, the ratio of teachers to students is 2:21? how many teachers are there?

Answers

Answer:

Number of teacher = 4

Step-by-step explanation:

Assume:

Total number of person = 46

Given:

Ratio teachers to students = 2:21

Find:

Number of teacher

Computation:

Number of teacher = Total number of person[2/(2+21)]

Number of teacher =46[2/(23)]

Number of teacher = 2[2]

Number of teacher = 4

What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6

Answers

Answer:

the answer is (x+6)2-4

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

Learn more about the function visit:

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Which expression is equal to the expression below?
(7•2)7

Answers

Answer:

C. 7⁷ × 2⁷

Step-by-step explanation:

The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.

(7 × 2)⁷

7⁷ × 2⁷

Answer:

c. [tex]7^7[/tex]· [tex]2^7[/tex]

Step-by-step explanation:

please mark me brainliest!

Aaron borrows 150.00 from Austin.he promised to pay back the money in 4 monthly installments.each month he wants to pay half the amount he paid the previous month.how much should Aaron pay the 1st month

Answers

Answer:

he would want to pay 80

Step-by-step explanation:

if you think about it he wants to pay half of the amount he paid for last month so its basically a trial and error/ guess and check question so i started with 15 and went 15+30 because half of 30 is 15 so you would multiply by 2 so 15+30= 45+60, 60 being half of 30 45+60= 105+120, again half is 60 105+120= 225 once i found out 15 was not correct i then tried the number 10. 10+20= 30+40=70+80= 150

i hope this helps you

$80

$80+$40+20+$10=$150

PLZ HELP ME PLZZZ I NEED HELP​

Answers

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

A = [tex]\frac{d*d'}{2}[/tex]       where d and d' are the diameters

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex]  A" = 729 cm²

Let a be the area of the single parallelogram

a = A"/4             since the parallelograms are congruent a = 729/4 a = 182.25 cm²

the area of a parallelogram is fiven by the formula :

A = b*h b is the base (here y/2) and h the height (here 18/9)

let's find y

a = [tex]\frac{y}{2}[/tex] * 9182.25*2 =  y*9 364.5 = y*9 y = 364.5/9 y = 40.5

An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.

Answers

Answer:

the first and fourth quadrants

Step-by-step explanation:

We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.

Let's first analyze time:

Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants

Second let's analyze the temperature:

The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.

If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.

Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction

Answers

Answer:

Starting with the smallest, we will have; D , C, A, B

Step-by-step explanation:

Given;

A = 3/4

B  = 5/6

C = 16/25

D = 9/15

Convert the fractions to decimal, to determine their sizes;

A = 3/4 = 0.75

B  = 5/6 = 0.833

C = 16/25 = 0.64

D = 9/15 = 0.6

From the decimal form of the fractions, it be observed that,

B > A > C > D

Starting with the smallest, we will have; D , C, A, B

What is the product?

Answers

Answer:

B

Step-by-step explanation:

3•(-6)=-18

3•(-11)=-33

3•(-14)=-42

3•(-9)=-27

Answer:

B. [ -18 -33]

[ -42 -27]

you have to distribute the x3 to all four numbers in the matrix


Which expression is equivalent to X+ 1 divided by x + 1?
3х 1
X+1 x+1
1

х+ 1 x+1

х+1
1
Х+ 1
х+1 x+1
3х 1

Answers

Answer:

first option

Step-by-step explanation:

Given

[tex]\frac{3x}{x+1}[/tex] ÷ x + 1 = [tex]\frac{3x}{x+1}[/tex] ÷ [tex]\frac{x+1}{1}[/tex]

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

= [tex]\frac{3x}{x+1}[/tex] × [tex]\frac{1}{x+1}[/tex]

Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3x/x+1 divided by x+1.

We need to find the equivalent expression of it.

3x/x+1 divided by x+1 can be mathematically written as below

(3x/x+1)/x+1

(3x/x+1) is the numerator and x+1 is in denominator

(3x/x+1)/(x+1/1)

When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.

(3x/x+1).(1/x+1)

Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

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3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?

Answers

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area

Answers

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]

what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1​

Answers

Answer: A

Step-by-step explanation:

What is the value of x?

Answers

Answer:

The answer is option C.

Step-by-step explanation:

Angles in a triangle add up to 180°

To find x add up all the angles in the triangle and subtract it from 180°

Thus

x + 95 + 57 = 180

x = 180 - 152

x = 28°

Hope this helps

If there are 2.54 centimeters in 1 inch how many centmeters are in 10 inches

Answers

25.4 cm. Multiply 2.54 by 10

2.54 x 10 = 25.4

please give e brainliest please

an arc of length 8in. is intersected by a central angle in a circle with a radius of 3 in. what is the measure of the angle? round your answer to the nearest tenth

A) 0.4 radian
B) 1.0 radian
C) 2.7 radians
D) 5.0 radians ​

Answers

Answer:

C.

Step-by-step explanation:

2.7 radians

Answer:c

Step-by-step explanation:2.7 radians

I need help with this please help me

Answers

Answer:

The graph is shown below.

Step-by-step explanation:

The given piecewise function is

[tex]f(x)=\begin{cases}-x & \text{ if } x<0 \\ x^2 & \text{ if } x\geq 0 \end{cases}[/tex]

From the given piecewise function, it is clear that

[tex]f(x)=-x[/tex] for x<0.

Put different values of x in f(x) where x<0 and find the values of f(x) to make a table of values as shown below.

Table of values:

x    f(x)

-3    3

-2    2

-1    1

Now, plot the points (-4,4),(-3,3),(-2,2),(-1,1) and join them by straight line. There is an open circle at x=0 because 0 is not included in this function.

From the given piecewise function, it is clear that

[tex]f(x)=x^2[/tex] for [tex]x\geq 0[/tex].

Table of values:

x    f(x)

0    0

1     1

2    4

Plot the points (0,0), (1,1), (2,4) and join them by a curve. There is closed circle at 0 because 0 is included in this function.

The graph is shown below.

Simplify the expression.

Write your answer without negative exponents.​

Answers

Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x

Answers

Answer:

x = [tex]5\sqrt{2}[/tex].

Step-by-step explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]

[tex]x\sqrt{2}[/tex] = 10

x = [tex]\frac{10}{\sqrt{2} }[/tex]

x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]

x = [tex]\frac{10\sqrt{2} }{2}[/tex]

x = [tex]5\sqrt{2}[/tex]

Hope this helps!

Please list all the factors for 15! Thank you very much! Whoever can help me with more questions can receive up to 30 points!

Answers

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

1, 3, 5, 15

Step-by-step explanation:

These 4 numbers are all the factors for 15, since they can divide 15 evenly

(ex: 15/3  = 5)

Peter deposited $5000 in a bank paying 5% interest compounded yearly. Find the balance in his account after 3 years.

Answers

Answer:

5750

Step-by-step explanation:

[tex]\frac{5}{100}[/tex]×5000=250

250×3=750

5000+750=5750

Find the volume of each sphere to the nearest hundredth?​

Answers

Answer:

Can i have a diagram please

Step-by-step explanation:

Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.

Answers

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)

Answers

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

multiply the 3 terms:

(x+2)(x-1)(x-2)(x²-4)(x-1) x^3 -x²-4x+4

This is a polynimial function with 2 vertices

The roots are approximatively:

0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

Pls help me with trig i would rlly appreciate !! 22 only

Answers

Step-by-step explanation:

given,

tan thita =8/9

or,tan thita=p/b

now, h=

[tex] \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{8 {}^{2} + 9 {}^{2} } [/tex]

[tex] = \sqrt{145} [/tex]

therefore, h=

[tex] \sqrt{145} [/tex]

now, cos thita =b/h

so, cos thita =

[tex]9 \div \sqrt{145} [/tex]

[tex] = 9 \sqrt{145} \div \sqrt{145} [/tex]

......ans........

hope its helpful

I think none of these answers are correct

Ryan throws a tennis ball straight up into the air. The ball reaches its maximum height at 2 seconds. The approximate height of the ball x seconds after being thrown is shown in the table. Which equation models the motion of the ball?

Answers

Answer:

y=-16(x-2)^2+68

Step-by-step explanation:

y=-17×(x-4)

4=-17(0)(0-4)

4+-0

y=-16(x)(x-4)

4=-16(0)(0-4)

4+-0

y=-16(x-2)^2+68

4=-16(0-2)^2+68

4=-16(4)+68

4=-64+68

4=4

y=-16(x-2)^2+68

Answer:

C) y=-16(x-2)^2+68

Step-by-step explanation:

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