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Dvinal [7]
3 years ago
11

Find the area of a circle that has a radius of 18 centimeters

Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0
Area:pi*radius^2
3.14*324=1017.36
Veseljchak [2.6K]3 years ago
3 0
The area is 324x3.14=1017.36
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Please help me Please​
Elis [28]

Answer:

9???

Step-by-step explanation:

6 trophies on the shelves and 3 that are not.

6 + 3 = 9

8 0
3 years ago
3. f(-4) - 3.9(-2) =
snow_lady [41]

Answer:

Step-by-step explanation:

5 0
2 years ago
A bag with 2 1/2 quarts of peanuts can make 2 1/6 jars of peanut butter. How many
diamong [38]

Answer:

You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter

Step-by-step explanation:

To make this answering seamless, we make the mixed fractions into improper fractions

Hence 2 1/2 becomes 5/2

while 2 1/6 becomes 13/6

Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter

Hence, x quarts of peanuts will make 3 jars of peanuts butter

To get the value of x, what we simply need to do is to cross multiply.

Thus, we have

5/2 - 13/6

x - 3

3 * 5/2 = 13/6 * x

15/2 = 13x/6

26x = 90

x = 90/26

x = 45/13

x = 3 6/13

3 0
3 years ago
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra
ivanzaharov [21]
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by \frac{1}{5}
From term 2 to term 3, there's a decrease also by \frac{1}{5}

The rule to find the n^{th} term in a sequence is 
n^{th}=a r^{n-1}, where a is the first term in the sequence and r is the ratio

So, the formula for the sequence in question is
n_{th} term = 1000( \frac{1}{5} ^{n-1} )

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
S_{∞} = \frac{a}{1-r} for -1<r<1 
Substituting a=1000 and r= \frac{1}{5} we have 
S_{∞} = \frac{1000}{1- \frac{1}{5} } = 1250

Hence, the correct option is option number 1

6 0
3 years ago
The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.
Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

h(t)=-16t^2+80t+64

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A)  Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

so

For h(t)=0

-16t^2+80t+64=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+80t+64=0

so

a=-16\\b=80\\c=64

substitute in the formula

t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}

t=\frac{-80\pm\sqrt{10,496}} {-32}

t=\frac{-80+\sqrt{10,496}} {-32}=-0.70

t=\frac{-80-\sqrt{10,496}} {-32}=5.70

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

-16t^2+80t+64=40

-16t^2+80t+24=0

Solve the quadratic equation

we have

a=-16\\b=80\\c=24

substitute in the formula

t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}

t=\frac{-80\pm\sqrt{7,936}} {-32}

t=\frac{-80+\sqrt{7,936}} {-32}=-0.28

t=\frac{-80-\sqrt{7,936}} {-32}=5.28

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0
3 years ago
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