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3 years ago

Find the volume of the following cylinder in cubic inches

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

Answer:

Option (1)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here, V = Volume

r = Radius of the circular base

h = Height of the cylinder

From the picture attached,

r = 8 in.

h = 0.5 in.

By substituting these values in the formula,

V = π(8)²(0.5)

= 32π

= 32(3.14)

= 100.48 in³

Therefore, Option (1) will be the correct option.

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A garden table and a bench cost $589 combined. The garden table costs $61 less than the bench. What is the cost of the bench?

Paul [167]

Answer:

The bench costs $350

Step-by-step explanation:

et the cost of the bench = x

the cost of the garden table = x + 94

x + (x + 94) = 794

2x + 94 = 794

2x = 700

x = 350

The bench costs $350 and the garden table costs 350 + 94 = $444

7 0

3 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$

Midpoint of given line

$= ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )$

$= ( \frac{ - 6}{2} , \frac{ - 4}{2} )$

$= ( - 3 , - 2)$

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0

3 years ago

Pealse help meeeeee I NEED HELP

nalin [4]

Answer:

Step-by-step explanation:

1 a function states that for every y coordinate there is on x coordinate

2 the y intercept is -1 slope is 0

3 i do not know im trying to figure out dont delete i will find it

6 0

3 years ago

Solve the system of equations by graphing: y= 2x +8 -x+y=0

sdas [7]

Answer:

Slope = 4.000/2.000 = 2.000

Slope = 2.000/2.000 = 1.000

Step-by-step explanation:

the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.

4 0

3 years ago

Read 2 more answers

En una progresion geometrica el primer termino es 4 ¿ cual debe de ser la razon para que la suma de sus infinitos sea 5?

dem82 [27]

Respuesta:

La proporción común del término puede ser 1/5

Explicación paso a paso:

La fórmula para calcular la suma al infinito de una secuencia geométrica se expresa como:

Sinfty = a / 1-r

Dado

Sinfty = 5

Primer término a = 4

Requerido

Razón común r

Sustituir

5 = 4/1-r

5 (1-r) = 4

5-5r = 4

-5r = 4-5

-5r = -1

r = 1/5

Esto significa que la razón común debe ser 1/5 para que la suma hasta el infinito sea 5

3 0

3 years ago