A cylinder of base radius 4cm is opened at one end . If the ratio of the area of it's base to that of it's curved surface area is 1:4, Calculate the height of the cylinder​

Answer:

Sam won first, Craig won second, Randy won third, and Charlie won fourth.

Step-by-step explanation:

Sam won first, Craig won second, Randy won third, and Charlie won fourth. It's all a matter of which number is bigger, which means it took more time.

Answer:

2x + 6 = x -4

Step-by-step explanation:

a) 2(x + 3) = x -4

multiply 2 by x and 3 to get them out of the parentheses

2*x = 2x   2 * 3 = 6

2x + 6 = x -4

here is a little help so you can go on

Answer:

[tex]\text{a) } 2(x + 3) = x -4[/tex]

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

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

[tex]2x= x -10[/tex]

[tex]2x-x= x -x-10[/tex]

[tex]x=-10[/tex]

[tex]\text{b) } 4(5x - 2) = 2(9x + 3)[/tex]

[tex]20x - 8 = 18x+ 6[/tex]

[tex]20x - 8+8 = 18x+ 6+8[/tex]

[tex]20x = 18x+ 14[/tex]

[tex]20x-18x = 18x-18x+ 14[/tex]

[tex]2x = 14[/tex]

[tex]$\frac{2x}{2} =\frac{14}{2} $[/tex]

[tex]x=7[/tex]

The right answer is 5√2

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

b). 5√2

Step-by-step explanation:

Answer:

3 servings

Step-by-step explanation:

Take the number of pounds and divide by the size of the servings

3/4 ÷ 1/4

Copy dot flip

3/4 * 4/1

3/1 * 4/4

3 servings

Answer:

3

Step-by-step explanation:

To find this out, you need to use division. Divide 3/4 by 1/4.

3/4 divided by 1/4 equals 3.

So there are 3 1/4 pound servings in 3/4 pounds of walnuts.

Answer:Quadrant II

Step-by-step explanation:

The point is located in the second quadrant because x is negative and y is positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right

Answer:

Complementary

Step-by-step explanation:

COMPLEMENTARY angles are pairs of angles with measures that sum to 90 degrees.

Answer:

[tex]\text{B. }3\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{3} \cdot \sqrt{5} \cdot \sqrt{6} \\\sqrt{3 \cdot 5 \cdot 6} \\\sqrt{3 \cdot 5 \cdot 2 \cdot 3}\\\ 3\sqrt{10}[/tex]

The expression √3 × √5 × √6​ is equivalent to the expression 3 × √10. Then the correct option is B.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ √3 × √5 × √6​

Simplify the expression, then the value of the expression will be given as,

⇒ √3 × √5 × √(3 ×2)

⇒ √3 × √5 × √3 × √2

⇒ 3 × √(5 × 2)

⇒ 3 × √10

The articulation √3 × √5 × √6 is comparable to the articulation 3 × √10. Then, at that point, the right choice is B.

More about the equivalent link is given below.

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Answer:

x+5

Step-by-step explanation:

x^2+7x+10=0

(x+5)(x+2)=0

The only factor on that list is x+5, meaning that it is the answer. Hope this helps!

Answer: C

Step-by-step explanation:

Seeing the pattern, the radius line moves 90° clockwise with each step. Therefore, C is the answer.

Answer:

D. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.

Step-by-step explanation:

The complete question is:

Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

Answer:

D. y - 8 = - (x+3)

Step-by-step explanation:

y = - x + 6

Slope m = - 1.

Point (-3,8).

The point-slope form

y - y1 = m(x - x1)

y - 8 = - (x+3)

Answer:

c

Step-by-step explanation:

4 times 1 is 4 and 4-3 is 1

Answer:

c. 1

Step-by-step explanation:

4y-3=1

cancel out the numbers

4y-3=1

  +3   +3

4y=4

division,

y=1

hope this helps

Answer:

5

Step-by-step explanation:

For the point to be a solution to the equation, it has to lie on the line 5x -2y= 30 and therefore must satisfy the equation.

5x -2y= 30

When x=8,

5(8) -2y= 30

40 -2y= 30

40 -30= 2y (bring constant to 1 side)

2y= 10 (simplify)

y= 10 ÷2

y=5

Thus the missing value is 5.

Answer:

60° and 80°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Given 2 angles in ratio 3 : 4 = 3x : 4x ( x is a multiplier )

Sum the 4 angles and equate to 360

140 + 80 + 3x + 4x = 360, that is

220 + 7x = 360 ( subtract 220 from both sides )

7x = 140 ( divide both sides by 7 )

x = 20

Thus

3x = 3 × 20 = 60° and 4x = 4 × 20 = 80°

Answer:

f(3) =-12

f(-1) =-12

Step-by-step explanation:

HELLO THERE

f(3)=-2(3)^2+8(3)

f(3)=-36+24

f(3)=-12

----------------------------

f(-1) =2(-1) ^2+8(-1)

f(-1) =-4-8

f(-1) =-12

//Both equal -12//

HAVE A GREAT DAY

Answer:

Step-by-step explanation:

f(x) = -2x² + 8x

f(3) = -2*(3)² +  8*3

     = - 2*9 + 24

     = - 18+ 24

f(3) = 6

f(1)= -2*(-1)² + 8*(-1)

   = -2*1  - 8

  = - 2 -8

f(1) = -10

Answer:

x =1

Step-by-step explanation:

5x +7=12

5x=12-7

5x=5

x=1

The solution of the equation is 1.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given equation;

5x +7=12

Subtract 7 on both side;

5x - 7 + 7 = 12-7

Divide by 5;

5x=5

or

x=1

The solution of the equation is 1.

Learn more about equations here;

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Answer:

a.

Step-by-step explanation:

Volume of square = length³

64 = length ³

Taking cube root in both sides

We'll get

Length = 4

Now perimeter of square = 4×L

= 4×4

= 16

Answer:

g(0)=0 and g(1)=1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\mid-13\mid\:-\:\mid-6\mid[/tex]

7

Answer:

12% 4% 8%

Step-by-step explanation:

Answer:

4/23

Step-by-step explanation:

there are 8 oatmeal cookies out of the 24 in the jar so the probability of pulling an oatmeal cookie out is 8/24 = 1/3

Then we have 23 cookies in the jar and 12 are chocolate chip

1/3 * 12/23 = 4/23

Answer:

the answer is {2, 3, 4, 5}

Step-by-step explanation:

3(2) + 1 > 4          3 times 2 is 6+1=7>4   anything above 2 works

3(3) + 1 > 4          

3(4) + 1 > 4          

3(5) + 1 > 4          

Answer:

D

Step-by-step explanation:

3x + 1 > 4

if x=1

3*1 + 1 > 4

3+1 > 4

4 not greater than 4

if x=2

3*2 + 1 > 4

6+1 > 4

7 > 4

if x=3

3*3 + 1 > 4

9+1 > 4

10 > 4

if x=4

3*4 + 1 > 4

12+1 > 4

13 > 4

if x=5

3*5 + 1 > 4

15+1 > 4

16 > 4

Thus, the set is [2,3,4,5], option 4 or D

Answer:

the location of the missing vertex of rectangle is (7,-4)

the lenght of the base of rectangle is 12

Step-by-step explanation:

height = 10

base =12

the length of a rectangle is the longest side of rectangle regardless it is vertical or horizontal side

Answer: (1) There are 233 parking spots on the top level

(2) There are 72 parking spots reserved for drivers with disabilities

(3) There are 970 spots for hourly parking

(4) He would spend $7200 for parking in a year

Step-by-step explanation: In the first instance, there is a total of 1327 parking spots altogether allocated into various categories.

(1) There are 6 levels in all, and the first level has 162 parking spots. herefore the remaining 5 levels would have 1165 parking spots left as shown below;

Remainder = 1327 - 162

Remainder = 1165

If however the remaining 1165 parking spots are distributed equally among the other 5 levels, then each level would have 233 parking spots each as shown below;

Five levels = 1165

Each level = 1165/5

Each level = 233

Therefore the top level has 233 parking spots

(2) On each level (out of all 6 levels), there are 12 spots reserved for drivers with disability. Therefore at all parking levels you would have 72 spots as shown;

Reserved spot per level = 12

Reserved spot for 6 levels = 12 * 6

Reserved spot for 6 levels = 72

Therefore there are 72 spots reserved for driver with disability

(3) Other than the spots reserved for drivers with disability (72), there are 285 parking spots for monthly rental. The rest are for hourly parking, and this is calculated as shown;

Hourly parking + monthly rental + reserved parking = 1327

Hourly parking + 285 + 72 = 1327

Hourly parking + 357 = 1327

Hourly parking = 1327 - 357

Hourly parking = 970

Therefore there are 970 spots available for hourly parking.

(4) If the daily parking rate is $30, and Jack parks his car for 5 days in a week, then he would spend

30 * 5 = 150

If he parks for 4 weeks in a month, then he would spend

150 * 4 = 600

Therefore to pay for parking in a year (12 months) he would spend

600 * 12 = 7200

Therefore he would spend $7,200 for parking in a year

Answer:

The answer is C, C, C, C, F

Step-by-step explanation:

The order that the pitcher threw is F, C, F, F, C, C, F, F, F then the next five pitches are C, C, C, C, F, F, F, F, F assuming the pitcher maintains this order

Answer:

15x + 14y + 36 = 0

Step-by-step explanation:

As we travel from the point (-8, 6) to the point (6, - 9), the increase in x (the "run") is 14 and that in y (the "rise") is -15.  Thus, the slope of the line segment connecting these two points is m = rise / run = -15 / 14.

Let's use the point (6, -9) and the slope m = -15/14 to write the equation of this line:

Adapting y = mx + b, we get:  

-9 = (-15/14)(6) + b, or

-9  = -45/7 + b, which yields b = 45/7 - 9, or  b = 45/7 - 63/7, or b = -18/7

Then the equation is y = (-15/14)x - 18/7

We must put this into "standard form."  Multiplying all three terms by 14 to clear the fractions out, we get:

14y = -15x - 36, or (in standard form):

15x + 14y + 36 = 0

Answer:

Step-by-step explanation :

Ratio = 3x : 4x

Answer:

60 and 80 degrees.

Step-by-step explanation:

The other 2 angles have the sum : 360 - (140 + 80)

= 360 - 220

= 140.   (because the 4 angles in a quadrilateral add up to 360).

As  the other 2 angles are in the ratio 3:4 one angle = 3/7 of 140 and the other is 4/7 of 140.

This is equal to 3 *20 and 4 * 20 = 60 and 80 degrees.

Answer:

two real roots

Step-by-step explanation:

y = -2x^2 + 9x - 7

This is in the form

ax^2 +bx+c

a = -2  b = 9  c = -7

The discriminant is

b^2 -4ac

(9)^2 - 4(-2) (-7)

81 - 56

25

Since the discriminant is greater than zero, there are two real roots

Answer:

You will walk to the right of zero if it is positive. It if is negative you will walk to the left

Step-by-step explanation: