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GalinKa [24]
3 years ago
9

Find the arc of the semicircle(diameter is 12)

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

18.849

Step-by-step explanation:

\frac{180}{360}  \times 2\pi \:  \times 6 \\  \frac{1}{2}  \times 2 \times \pi \times 6 \\  \pi \times 6  \\ = 18.849

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Aliun [14]

Answer:

Well....

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3 0
3 years ago
Read 2 more answers
Which shows the following expression using positive exponents?
Hitman42 [59]

Answer:

1. option B is correct i.e., \frac{-3a^{7}b^3b^1}{15a^{2}}

2. option D is correct i.e., \frac{a^3b^4}{ab^2}.

3. option B is correct i.e.,  \frac{n^{10}}{16m^{6}}.

Step-by-step explanation:

1. Since the given equation is:

\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}

As we know that a^{-x}=\frac{1}{a^x}

So, the given equation can be represented as:

\frac{-3a^{7}b^3b^1}{15a^{2}}


2. Given equation is:

\frac{a^3b^{-2}}{ab^{-4}}

As we know that a^{-x}=\frac{1}{a^x}

so the given equation can be represented as:

\frac{a^3b^4}{ab^2}.


3.  Given equation is:

(\frac{4mn}{m^{-2}n^6})^{-2}

by using the properties a^{-x}=\frac{1}{a^x},

and a^x\times a^y=a^{x+y}

(\frac{4mn}{m^{-2}n^6})^{-2}

= (\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}

= (\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}

= (\frac{4n^{-5}}{m^{-3}})^{-2}

= \frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}

= \frac{n^{10}}{16m^{6}}.

which is option B.

5 0
3 years ago
Read 2 more answers
Is this correct?????????
Delicious77 [7]

Answer:

yup its right

Step-by-step explanation:

5 0
3 years ago
A cake recipe says to bake the cake until the center is 180°F. then let the cake cool to 100°F. The table shows temperature read
mina [271]

Answer:

8.058655822 mins

Step-by-step explanation:

We have a  table and to solve for this we might want to find the  equation for this

This is a exponential function

To solve for this we need the rate of decay and the x intercept

We know the x intercept is 180 because in 0 mins the temp is 180

To solve for decay we need to know the temp of the cake after 1 min

to get the decay value we can do

125=  180 (x)^5

.69444444444 = x^5

0.929667185 = x

so the equation would be

180 (0.929667185)^x

if we tell this equation to equal 100

we get

100 = 180 (0.929667185)^x

.5556 = (0.929667185)^x

log .5556 = log 0.929667185 *x

log .5556 / log .929667185)

8.058655822= x

After 8.058655822 mins the cake will be 100 degrees

4 0
3 years ago
The Great Pyramid is an example of a (2 examples)
Annette [7]
The Great Pyramid is an example of a 1. A triangular Prisim and a polygon
<span>
A cereal box is an example of a Rectangular prisim </span>or rectangle

A tent is an example of a A triangular Prisim and a polygon



4 0
3 years ago
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