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balu736 [363]
3 years ago
7

If the sum of the interior angles of a polygon is 3780° how many sides does it have ​

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

the answer will be 23

Step-by-step explanation:

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A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour.
Ray Of Light [21]
2 4/5 is the correct answer
6 0
3 years ago
In a race, there are 20 runners. Trophies for the race are awarded to the runners finishing in first and second place. In how ma
andrew11 [14]

Answer:

<u>There are 380 ways that 1st and 2nd place can be determined in the race</u>

Step-by-step explanation:

There are 20 possibilities for determine the 1st place

There are 19 possibilities for determine the 2nd place

Number of ways that 1st and 2nd place can be determined = 20 * 19

Number of ways that 1st and 2nd place can be determined = 380

7 0
3 years ago
Expres each of the folowing as a single matrix.
Elden [556K]

Answer:

\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

Step-by-step explanation:

If you have two matrices:

A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]

We have:

A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]

And we need to express as a single matrix:

A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

The answer is:

\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

It is expressed as a single matrix.

8 0
3 years ago
A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning
N76 [4]

Answer: 3 in.

Step-by-step explanation:

Given

The base of the triangle is 3\frac{2}{5}\ inches

The area of the triangle is 5\frac{1}{10}\ inches^2

Solve mixed fraction

Base is

=3\dfrac{2}{5}\\\\=\dfrac{17}{5}\ in.

Area is

=5\dfrac{1}{10}\\\\=\dfrac{51}{10}\ in.^2

The area of the triangle is given by

\Rightarrow \text{Area A=}\dfrac{1}{2}\times \text{base}\times \text{height}

Insert the values to get the height

\Rightarrow \dfrac{51}{10}=\dfrac{1}{2}\times \dfrac{17}{5}\times \text{height}\\\\\Rightarrow \text{height}=3\ in.

8 0
3 years ago
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