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The diameter and height of the cylinder are 4.98ft and 7.47 feet respectively

The formula for calculating the surface area of a cylinder is expressed as:
S = 2πr(r+h)

where

r is the radius

h is the height = 3r

Substitute into the expression to have:

S = 2πr(r+3r)

S = 2πr(4r)

S = 8πr²

155.83 = 8πr²

r = 2.49feet

Since h = 3r

h = 3(2.49)

h = 7.47 feet

Hence the diameter and height of the cylinder are 4.98ft and 7.47 feet respectively

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Answer:

The radius and height of the cylinder are 2.49 and 7.47 meters respectively

Step-by-step explanation:

Answer: the answer is 186

Step-by-step explanation:

Answer:

10.92cm square

Step-by-step explanation:

Area of a triangle= length * width/ 2

7.8*2.8=21.84

21.84/2=10.92

Answer:

Infinitely many solutions.

Step-by-step explanation:

[tex]3x+y=2[/tex]

[tex]6x+2y=4[/tex]

[tex]6x+2(2-3x)=4[/tex]

[tex]6x+4-6x=4[/tex]

[tex]6x-6x=4-4[/tex]

[tex]0=0[/tex]

Since the two equations are the same, the system of equations has infinitely many solutions.

Answer:

8

Step-by-step explanation:

2x + 7 = 23

2x = 16

X = 8

Answer:

95,013

Step-by-step explanation:

If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of surface areas and volumes.

To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.

Here we divide it into two separate parts. so we get as,

after solving, we get total volume as 1140 cm^3

Answer:

C is the answer please

C. 5^5/4

Answer:

Exact Form:

49/4

Decimal Form:

12.25

Mixed Number Form:

12 1/4

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

√x-2=√x-10

x-4√x+4=x-10

-4√x+4=-10

-4√x=-10-4

-4√x=-14

√x=7

-

2

x= 49

---

44

Answer:

x = 1

Step-by-step explanation:

[tex]7^{4x-6}=\frac{1}{49}[/tex]

[tex]7^{4x-6}=7^{-2}[/tex]

4x - 6 = -2

4x = -2 + 6

4x = 4

(Divide both sides)

x = 1

Answer:

238

Step-by-step explanation:

First, you have to figure out the area for each of the boxes, and then you add all of the areas together

Answer:

504

Step-by-step explanation:

14x18x2=

(14x18)x2=

252x2=

504

Get total lengths by multiplying:

10 x 12.6 = 126

6 x 16.1 = 96.6

Add the total lengths together and divide by 16:

126 + 96.6 = 222.6

222.6 / 16 = 13.9125

Rounded to 2 decimal places = 13.91

answer: 13.91

Answer:

896 meters sq

Step-by-step explanation:

Step 1. Find the area of each square

Big square: 36 x 36 = 1296

Small square: 20 x 20 = 400

Step 2. Find the area of the shaded region only

big square A - small square A = ONLY shaded region area

1296 - 400 = A

896 [tex]m^{2}[/tex] = A

I hope this helps!

Answer:

Step-by-step explanation:

Find the dimensions of the kitchen, convert to feet

The area is

Answer:

5.56 ft² (nearest hundredth)

Step-by-step explanation:

Given:

If the scale is 1 : 20, then to scale up, multiply the width and length by 20:

⇒ width = 4 × 20 = 80 in

⇒ length = 5 × 20 = 100 in

Area = width × length

        = 80 × 100

        = 800 in²

1 ft = 12 in

⇒ 1 ft² = 12² in² = 144 in²

Therefore, to find the area of the room in square feet, divide the area in inches by 144:

⇒ area = 800 ÷ 144

            = 5.56 ft² (nearest hundredth)

Answer:

Step-by-step explanation:

#1. right 5 units

#2. down 2 units

#3. The translation rule is (5, -2)

Answer:

164.

Step-by-step explanation:

We can break this shape into a rectangle and a trapezoid.

Area for a rectangle is l x w, or in this case, 8 x 16.

8 x 16 = 128, so the rectangle’s area is 128.

Area for a trapezoid is ((a+b)/2)h.

We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.

Now we can plug in the numbers.

((8 + 10)/2)4

(18/2)4

9 x 4

36

Now we can add up the areas of both shapes to find the answer.

36 + 128 = 164, so the answer is 164.

Answer:164

Step-by-step explanation:

step 1: divide the irregular shape into regular shapes in this case Triangle and two rectangles

step 2: Calculate the individual areas for the shapes the area of the rectangle is (128) because the sides 16 and 8 add up to 128 as area.For the smaller rectangle the area is (32) since 8 times 4 is equal to 32 and lastly for the triangle the area is four since the base of 2 times the height of 4 equals 8 and 8 divided by two is 4 so the are of the triangle is (4)

step 3: Combine all the areas 128+32+4=64 therefore the area for the irregular figure is (164)

Answer:

(- 2, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.

0 = 3x + 6 ( subtract 6 from both sides )

- 6 = 3x ( divide both sides by 3 )

- 2 = x

the line crosses the x- axis at (- 2, 0 )

Instead of y write 0:

0=3x+6

0=3x+6

Subtract 6 on both sides :

-6 = 3x

Switch the order :

3x = -6

Divide by 3 on both sides :

x = -2

Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.

(-2, 0)

We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.

We replaced in : (24-2) x 180 = 3960

So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.

Answer:

Explanation:

solve, insert equation 2 into 1

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.

Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.

Water to be drank per hour = total water drank / hours of hike

50 / 3 = 16.67 ounces

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

Step-by-step explanation:

(9√5)   (5√10)

The leading interger product is found by multiplying 9 and 5

The leading integer product is 9*5 = 45

The radical product is (√5*10

Factor 10

radical product = √5*2*5

There are 2 fives underneath the radical. Take one out and ignore the other

radical product = 5√2

The 5 now multiplies by 45 and √2 becomes part of the answer

5*45√2

225√2

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 4

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 8 ( divide both sides by 2 )

y = 4

Answer:3p

Step-by-step explanation:

405 0p x 7

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10

Answer: 45

Step-by-step explanation: 2 1/4 = 2hr and 15 min

1/3 of 2hr and 15 min = 45

Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Given that,

Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.

They watched a video in the visitor center for 1/3 of that time.

Total time spent by Nathan's family in the monument = 2 + 1/4 hours

                                                                                         = 9/4 hours

Fraction of time spend in watching the video = 1/3

Time spend in watching the video = 1/3 × 9/4

                                                         = 3/4 hour

                                                         = 45 minutes

Hence the time spent is 3/4 hour.

Learn more about Fractions here :

https://brainly.com/question/10354322

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Answer:

c

Step-by-step explanation:

I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle