"pioneer logs" is a brand of children's toy which is sold in large cylindrical container.
diameter = 29.5cm

height= 27.5cm


what is the surface area of the lateral side ( the curved part)?

Answer:

Y = x - 4

Step-by-step explanation:

it’s already in y = Mx + b form

Answer:

Step-by-step explanation:

1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]

= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]

= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]

= [tex]\frac{83}{36}n[/tex]

= [tex]2\frac{11}{36}n[/tex]

2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]

= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]

= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]

= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]

= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]

= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]

3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]

= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]

= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]

= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]

= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]

= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]

Answer:

A

Step-by-step explanation:

i hope this is right

Answer: 8%

Step-by-step explanation:

Original Perimeter of the rectangle is:

= 2 * ( Length * Width)

= 2 * (20 + 30)

= 100 cm

The length increased by 10%. It therefore increased to:

= 30 * ( 1 + 10%)

= 30 * 1.1

= 33 cm

The width increased by 5%. It increased to:

= 20 * ( 1 + 5%)

= 21 cm

New Perimeter is therefore:

= 2 * ( 33 + 21)

= 108 cm

Percentage increase in perimeter is:

= (New perimeter - old) / old perimeter

= (108 - 100) / 100

= 8%

Answer:

Multiply the top equation by -3 and the bottom equation by 2.

Answer:

Step-by-step explanation:

Answer:b I’m pretty sure

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Answer:

Step-by-step explanation:

11/12 - 5/8 =  ? Make the denominator the same (multiply the first term by 2 and the second term by 3).

22/24 - 15/24 = ? Just simplify/solve. 22-15=7.

7/24

OPTION A = 7/24

Answer:

c

Step-by-step explanation:

First, I'll isolate the x in x+4y=5 to match with the other equation.

The new equation would be x= -4y+5

Next, we will multiply one equation by 3 and the other by -1 for both to match with the other.

-1(-12y + 15 = 3x )

3(-4y + 5 = x)

The new equations would be :

12y - 15 = -3x

-12y + 15 = 3x

Add the equations and you get

0 = 0

The equation has an infinite amount of solutions

Answer:a,cd,and h

Step-by-step explanation:

Answer:

A. Always positive

Step-by-step explanation:

Answer:

The slope of y= 1/2x-7 is always positive.

Step-by-step explanation:

[tex]y = mx + c \\ y = \frac{1}{2} x - 7 \\ \boxed{slope = \frac{1}{2}} \: which \: is \:always \: positive.[/tex]

Answer:

255.682%

Step-by-step explanation:

From the above question:

The planet mercury makes its circuit around the sun in 88 days.

Venus takes 225 days to complete it's circuit.

Venus's travel time is what percent of Mercury's travel time?

This is calculated as:

(Number of days Mercury take to complete it's circuit/Number of days Venus takes to complete it's circuit) × 100

= 225/88 × 100

= 2.5568181818181817 × 100

= 255.68181818%

Approximately = 255.682%

Venus's travel time is 255.682 percent of Mercury's travel time

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1.116071429

Step-by-step explanation:

This is an irrational number, but if you round it, it should be about 1 or 1.12. You can put this in the calculator btw :)

Answer:

47.5

Step-by-step explanation:

47.5=100%

57=120%

The input value is 47.5 when the output is 57.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

When the output is 120%, the input is 100%.

And the output is 1.2 times the input.

So, we have the output 57.

To find the input number:

Use division process,

The required number = 57 /1.2

The required number = 47.5.

Therefore, the number is 47.5.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

5 + 4.5 + 2.5 = 12 ÷ 3 = 4

how I know mean is when you add each together then divide it by how many things you added together so we added 3 things together so just divide your answer by 3.

Answer:

x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

36 - 6x = 4x - 64

36 + 64 = 4x + 6x

100 = 10x

x = 10

Answer:

A

Step-by-step explanation:

Answer:

O1: b) linear, proportional

O2: a) linear, non-proportional

O3: c) nonlinear

Step-by-step explanation:

Recall that a proportional function can be drawn as a straight line (linear function) through the origin (0,0).

O1 is a proportional function since it is linear and goes through the origin.

O2 has a y-intercept of y = 5; therefore, it is not proportional because it does not go through the origin (0,0), although it is linear.

O3 resembles a quadratic function, which means it's not a linear function (nonlinear).

Step-by-step explanation:

The two given equations have slope -1/2 and 2 and are perpendicular lines.

The lines on the graph are different from the equations at left.

Their slopes are 2 and 1/2. Since they are not opposite reciprocals, they are not perpendicular.

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

[tex]f(x) = -16t^2 + 64t + 960[/tex] .....(1)

When it will hit the ground, f(x) = 0

[tex]-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0[/tex]

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

[tex]-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]

Put t = 2 in equation (1)

[tex]f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}[/tex]

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Answer:

10 oranges

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

Answer:

x = 10 and

[tex]y = 2 \sqrt{29} [/tex]

Step-by-step explanation:

see the explanation in attachment.

Answer:

$275

Step-by-step explanation:

30% + 15%=45%

45% of 500 is 225, because 500 x 0.45=225. Then subtract the discount from the total, 500 - 225, and you get 275

THe correct option is the 3rd option

Answer:

Step-by-step explanation:

2x-xy=3

-xy=3-2x

y=3-2x/x

Answer:

[tex]y = - \frac{3}{ x} + 2[/tex]

Step-by-step explanation:

So we want y to be on a side by itself.

2x-xy=3

Subtract 2x from each side

-xy=3-2x

divide each side by -x

[tex]y = \frac{3}{ - x} + 2[/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

C. 8

the answer is eight or C whatever

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y