Find the area of the cylinder. 3cm 6cm

PLEASE HELP! WILL MARK BRAINLIEST

Veseljchak [2.6K]

The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

<h3>How to determine the dimensions?</h3>

The given parameters are:

Base = 5(x+3)

Height = 2(x+9)

Perimeter = 108

The perimeter of a rectangle is

P = 2 *(Base + Height)

So, we have:

2 *(5(x + 3) + 2(x + 9)) = 108

Divide both sides by 2

5(x + 3) + 2(x + 9) = 54

Open the brackets

5x + 15 + 2x + 18 = 54

Evaluate the like terms

7x = 21

Divide by 7

x = 3

Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)

Base = 5(3+3) = 30

Height = 2(3+9) = 24

Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.

Read more about perimeter at:

brainly.com/question/24571594

#SPJ1

5 0

1 year ago

Will make bianleast no picture

natita [175]

Answer: 24, 24, 47

<u>Step-by-step explanation:</u>

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c & a + c > b & b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than 45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27

all combinations are true so these side lengths can form a triangle

7 0

3 years ago

The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0

3 years ago

How do you determine a figure’s scale factor?

german

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.

5 0

2 years ago

A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the

Natasha2012 [34]

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

$n(h)=100e^{0.25h}$

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

$450=100e^{0.25h}\\\\\frac{450}{100}=e^{0.25h}\\\\4.5=e^{0.25h}\\\\\text{Taking natural log 'ln' on both sides}\\\\\ln (4.5)=0.25h\\\\1.50=0.25h\\\\h=\frac{1.50}{0.25}\\\\h\approx 6\ hours$

Hence, Second option is correct.

8 0

3 years ago

Read 2 more answers