what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place​

Answer:

see explanation

Step-by-step explanation:

(a)

the volume (V) of the cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × a² × 2a = 2a³π

(b)

the volume of the prism is calculated as

V = Ah ( A is the cross- sectional area and h the height ) , then

a²b = 2a³π ( divide both sides by a² )

b = 2πa

Answer:

3 hours

Step-by-step explanation:

$190 - $55 = $135 that the plumber charged for labor

$135/$45 = 3 hours that the plumber spent fixing the sink

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

Answer:

x = -24

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Answer

-24

Step-by-step explanation:

5/9

you can use a common denominator of 36, and multiply the numerators of each fraction by whatever number the denominator had to be multiplied by to get to 36

14/36+15/36-9/36

then you add and subtract

20/36=

5/9

Answer:

3

Step-by-step explanation:

a²+6.1²=6.8²

a²+37.21=46.24

-37.21 -37.21

a² = 9.03

a = √9.03

a = 3

Answer:

E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1

Step-by-step explanation:

Answer:

B. -6

Step-by-step explanation:

You know immediately that it will be negative, because the temp is going down.

To find the exact answer, start by finding the difference between the two temps

82-46 = 36

since its a six day period, divide 36 by 6

36/6 = 6

so, the answer is -6

Answer:

$227,373.3

Step-by-step explanation:

85% of 38,214 is 32,481.9

If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3

Answer:

Area = 28 cm^2

Step-by-step explanation:

Triangle Area = 1/2 * 5 * 4 = 10 cm^2

Big Rectangle = 4 * 3 = 12 cm^2

Small Rectangle = 4 * 1.5 = 6 cm^2

Total Area = 10 + 12 + 6 = 28 cm^2

Answer:

Step-by-step explanation:

Discussion

Area of the Triangle

3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.

c = 5

b = 3

a = 4

c^2 = a^2 + b^2           Equation  Substitute values

c^2 = 3^2 + 4^2           Expand

c^2 = 9 + 16                 Combine

c^2 = 25                       Take the square root of both sides.

√c^2 = √25

c = 5                     Which is exactly what you are given.

A right triangle has the property of Area = 1/2 * a * b using the values given above.

Find the area of the triangle

Area = 1/2 a * b                          

Area = 1/2 3 * 4                                                    

Area =                                                               6

Find the area of the rectangle

L = 3 + 1.5 =4.5                        Just add the two parts of the vertical line together.

w = 8 - 4 = 4

Area of the rectangle = L * w   Substitute values

Area of the rectangle = 4.5 * 4

Area of the rectangle =                                18         Add

Total area                                                      24

Answer

24 cm^2

Answer:

8km 323m

Step-by-step explanation:

The total distance given by summing up all the distances traveled using different means.

Distance by bus = 5km 28m

Distance by car = 2 km 265 m

Distance on foot = 1 km 30 m

(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m

Step-by-step explanation :

Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.

But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.

• Distance travelled by bus :

> Bus = 5km 28m

> Bus = 5 × 1000 + 28

> Bus = 5000 + 28

> Bus = 5028 m

• Distance travelled by car :

> Car = 2km 265m

> Car = 2 × 1000 + 265

> Car = 2000 + 265

> Car = 2265m

• Distance travelled by foot :

> Foot = 1km 30m

> Foot = 1 × 1000 + 30

> Foot = 1000 + 30

> Foot = 1030m

★ Now, total distance would be calculated as follows :

>> Total distance = (5028 + 2265 + 1030) m

>> Total distance = (7293 + 1030) m

>> Total distance = 8323 m

Therefore,

Answer:

b

Step-by-step explanation:

7w^2-18w/w^2-5w+6

The simplest form of the expression is 7w/w^2+6, the correct option is A.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

4w/w-2 + 3w/w-3

Now,

we can multiply the numerator and denominator by the missing factor. For example

w−24w​=(w−2)(w−3)4w(w−3)​

w−33w​=(w−2)(w−3)3w(w−2)​

Add the fractions with the LCD as the common denominator. To do this, we can add the numerators and keep the denominator. For example:

w−24w​+w−33w​=(w−2)(w−3)4w(w−3)+3w(w−2)​

Simplify the numerator by distributing and combining like terms. For example:

(w−2)(w−3)4w(w−3)+3w(w−2)​=(w−2)(w−3)4w2−12w+3w2−6w​

(w−2)(w−3)4w2−12w+3w2−6w​=(w−2)(w−3)7w2−18w​

=7w/w^2+6

Therefore, by the given expression the answer will be 7w/w^2+6.

To know more about an expression follow;

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Answer: 29

Step-by-step explanation:

all triangles equal to 180

180-97-54=29

Answer:

Option C: 9³

Step-by-step explanation:

9 * 9 = 81

( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )

81 * 9 = 729

( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)

Answer:

10πcm

Step-by-step explanation:

radius of the circle= 5cm

circumference of a circle has the formular

= 2πr

= 2×π×5

then In terms of pi

= 10πcm

Check the picture below.

Answer:

a) Time spent, x (minute): 50 < x ≤ 60

b) Time spent, x (minute): 20 < x ≤ 30

Step-by-step explanation:

a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)

b) Find the total amount of Frequency:

12 + 18 + 11 + 9 + 8 + 21 = 79

to find mid number through the data set divided by 2:

79 / 2 = 39.5

so add up the frequency till you reach 39.5 (max)

12 + 18 = 30

30 + 11 = 41   this passes through 39.5 so the median is in the 3rd row

The perimeter of the rectangle is 28 feet. Then Sulio needs 28 feet of fencing.

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) units

Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.

The length of a garden is 8 feet and the width is 6 feet.

Then the perimeter of the rectangle will be

Perimeter = 2 (8 + 6)

Perimeter = 2 x 14

Perimeter = 28 feet

More about the perimeter of the rectangle link is given below.

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Answer:

Look at this image.

Step-by-step explanation:

A, B, C, D. I am intelligent

Answer:

85.2 cm^2

Step-by-step explanation:

two bases' area    2 * 15.6 = 31.2 cm^2

  now add the three sides....they are all the same size

      three  X  6 x 3   = 54 cm^2

summed = 85.2 cm^2

Answer:

[tex]P(\text{Male}|\text{Divorced})\approx0.092[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092[/tex]

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is [tex]\frac{9.6}{104.5}\approx0.092[/tex], the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

Answer:

Find the interest. Formula interest = PRT Principal x rate x time

910.00 x 1.75% x 1 =

910.00 x 0.0175 x 1 =

15.93 is the interest.

Step-by-step explanation:

Answer:

Here is the answer hope it helps:)

The area of the training field is 5606.48 m².

Area can be defined as the region bounded by a plane shape.

To calculate the area of the training field, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the training field is 5606.48 m².

Learn more about area here: https://brainly.com/question/3948796

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Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

Answer:

(2, 0) and (-7, 0)

N

C.

b.

(2, 0) and (-2, 0)

There are no x-intercepts

d.

(9, 0) and (-2, 0)

Please select the best answer from the choices provided

O A

B

C

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,

lw = a.

This brings us to 8 × 17, which is 136.

Answer:

1) (Un) is a geometric sequence.

2) Un+1 - Un ≤ 0.

3) (Un) is decreasing.

4) (Un) is convergent.

5) sum = 155

Step-by-step explanation:

Un+1 = 0.5Un

U₀ = 80

1) U is a geometric sequence (reason : Un+1 = 0.5Un).

2) Un+1 - Un = 0.5Un - Un = Un×(0.5 - 1) = -0.5Un ≤ 0 (because Un ≥ 0).

Remark: use Mathematical induction to prove that Un ≥ 0

3) Un+1 - Un  ≤ 0

then

Un+1 ≤ Un  

then

the sequence U is decreasing.

4) U is decreasing and Un ≥ 0

Then U is convergent.

5)  Since U is geometric sequence with first term U0 = 80 and common ratio = 0.5 .

Important: review the sum of consecutive terms of a geometric sequence.

Then

[tex]U_0+ U_1+ U_2+ U_3+ U_4=U_{0}\times \frac{1-\left( 0.5\right)^{5} }{1-0.5}=160\times(1-\left( 0.5\right)^{5} )=155[/tex]