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2 years ago

Brainliest for correct answer

Mathematics

1 answer:

Tcecarenko [31]2 years ago

3 0

1.not a function 2. Not a function 3.function

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A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi

Ierofanga [76]

Answer: A. Factor 2 => 4x greater

Factor 3 => 9x greater

Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

$A_{1}$ = 2πrh

If multiply both dimensions by a factor of 2:

$A_{2}$ = 2.π.2r.2h

$A_{2}$ = 8πrh

Comparing $A_{1}$ to $A_{2}$ :

$\frac{A_{2}}{A_{1}}$ = $\frac{8.\pi.rh}{2.\pi.rh}$ = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

$A_{3} = 2.\pi.3r.3h$

$A_{3} = 18.\pi.r.h$

Comparing areas:

$\frac{A_{3}}{A_{1}}$ = $\frac{18.\pi.r.h}{2.\pi.r.h}$ = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

$A_{5} = 2.\pi.5r.5h$

$A_{5} = 50.\pi.r.h$

Comparing:

$\frac{A_{5}}{A_{1}}$ = $\frac{50.\pi.r.h}{2.\pi.r.h}$ = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0

2 years ago

Natasha bought a necklace and 4 identical bracelets. A necklace cost $294 more than a bracelet. Natasha paid $3519 for her purch

andrew-mc [135]

The answer is 806.25

7 0

3 years ago

Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le

yaroslaw [1]

X = Leonard, y = Liam
x = y + 7
3x + 2y = 96

now we sub
3(y + 7) + 2y = 96
3y + 21 + 2y = 96
5y = 96 - 21
5y = 75
y = 15

x = y + 7
x = 15 + 7
x = 22

Liam has 15 and Leonard has 22.

6 0

3 years ago

Please help me, I really need help. I will mark brainliest answer!!

masha68 [24]

So, let's list the facts:
1) In a week, the eagle eats 3.85 kilograms
2) there are 7 days in a week
3) on each day, the eagle eats the same amount.
This means that in order to find out how much was eaten on each day, we need to divide the whole week's food by the number of days in a week:

3.85/7= 0.55

(3.85=3.5+0.35 and 5*7=55, so (3.5+0.35)/7=0.5+0.05=0.55

Every day the eagle eats 0.55 kilograms of meat!

6 0

3 years ago

MATH HELP PLS BRAINLIEST

Lera25 [3.4K]

Answer:

the first one

Step-by-step explanation:

i think that's the correct answer

8 0

3 years ago