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Morgarella [4.7K]
3 years ago
14

The area of a square is 324 cm squared. what is the side length of the square?

Mathematics
1 answer:
alina1380 [7]3 years ago
7 0
All sides are 18 cm. You can figure this out by finding the square root of 324
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5x+10=24-2x what is this called?
Free_Kalibri [48]
This is a one variable equation in algebra.

X = 2
6 0
3 years ago
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Two cylinders are similar. The surface area of one is 49 cm ^ 2 , and the surface area of the other is 121 cm ^ 2 . Find the sca
dalvyx [7]

Answer:

7 : 17.29

Step-by-step explanation:

==>Given:

Two similar cylinders:

Surface area of Cylinder A = 49cm²

Surface area of Cylinder B = 121cm²

==>Required:

Scale factor between both cylinders

==>Solution:

We can easily get the scale factor between both by taking the following steps:

=>Set up a ratio of their surface area:

Smaller cone surface area : larger cone surface area

49:121

= 49/121

=>Simplify the ratio gotten:

Dividing the denominator and the numerator by 7, would give us,

7/17.29

= 7:17.29

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3 years ago
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Studentka2010 [4]

Answer:

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6 0
1 year ago
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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Find the area of the shaded region. ​
densk [106]

[1]

A1 = (h (a + b)) / 2

A1 = (21 (17 + 32)) / 2

A1 = (21 x 49) / 2

A1 = 1,029 / 2

A1 = 514.5 mm²

[2]

A2 = (b x h) / 2

A2 = (11 x 9) / 2

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A2 = 49.5 mm²

[3]

The area of the shaded region =

A1 - A2 =

514.5 mm² - 49.5 mm² =

465 mm²

The answer is 465 mm².

4 0
3 years ago
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