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GenaCL600 [577]
3 years ago
13

A cylinder has a radius of 5 centimeters

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

SA for a cylinder = 2 pie r squared + 2 pie r h

= 2 x pie x 25 + 2 x pie x 5 x 17

= 220 pie or 690.8 if you use 3.14 instead of the full value

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A culture started with 3,000 bacteria. After 8 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after
Sav [38]

Answer:

3,462\ bacteria

Step-by-step explanation:

In this problem we have a exponential function of the form

y=a(b^x)

where

x is the time in hours

y is the numbers of bacteria

a is the initial value

b is the base

r is the rate of growth

b=(1+r)

we have that

a=3,000\ bacteria

For x=8, y=3,300

substitute in the exponential function

3,300=3,000(b^8)

solve for b

1.1=(b^8)

b=\sqrt[8]{1.1}

b=1.0120

Find the value of r

r=b-1=1.0120-1=0.0120=1.20\%

The equation is equal to

y=3,000(1.012^x)

For x=12 hours

substitute the value of x in the equation

y=3,000(1.012^{12})

y=3,462\ bacteria

8 0
4 years ago
The diagram shows a right-angled triangle.
son4ous [18]

answer

<em> </em><em>1</em><em>1</em><em>.</em><em>3</em><em> </em><em>c</em><em>m</em><em> </em>

steps

<em>w</em><em>h</em><em>a</em><em>t</em><em> </em><em>is</em><em> </em><em>h</em><em> </em><em>c</em><em>m</em><em> </em><em>to</em><em> </em><em>angle</em><em> </em><em>3</em><em>7</em><em>°</em><em>=</em><em>it</em><em> </em><em>is</em><em> </em><em>a</em><em>n</em><em> </em><em>opposite</em><em> </em><em>side</em>

<em>what</em><em> </em><em>is</em><em> </em><em>1</em><em>5</em><em> </em><em>cm</em><em> </em><em>to</em><em> </em><em>angle</em><em> </em><em>3</em><em>7</em><em>°</em><em>=</em><em>it</em><em> </em><em>is</em><em> </em><em>an</em><em> </em><em>adjecent</em><em> </em><em>side</em>

<em>opposite</em><em> </em><em>and</em><em> </em><em>adjecent</em><em> </em><em>form</em><em> </em><em>a</em><em> </em><em>tan</em>

.°. <em>opp</em><em>/</em><em>adj</em><em> </em><em>=</em><em> </em><em>tan</em><em>(</em><em>3</em><em>7</em><em>°</em><em>)</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>h</em><em>/</em><em>1</em><em>5</em><em> </em><em>=</em><em> </em><em> </em><em>tan</em><em>(</em><em>3</em><em>7</em><em>°</em><em>)</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>h</em><em> </em><em> </em><em>=</em><em> </em><em>1</em><em>1</em><em>.</em><em>3</em><em> </em><em>cm</em>

6 0
3 years ago
What is a coterminal angle for 130 degrees that’s in between 0 and 360 degrees.
Ymorist [56]

Answer:

it's already a coterminal angle. the goal is too get the degree into that range of 0-360.

For example, the degree 450 would be 90.

450-360 = 90

So, 130 is your answer

8 0
4 years ago
(a - b)(2x-3)+(6x+7)(a+b)<br> Factorise
Andreyy89

Answer:

2(4ax+2bx+2a+5b)

Step-by-step explanation:

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2 years ago
A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 51 miles a
EleoNora [17]
Well 51 per hour and there is 24 hours so you just multiply the two together. Which you would get get 1,224 Miles
4 0
3 years ago
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