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2 years ago

What is the sum of the measures of the interior angles of any triangle?

Mathematics

2 answers:

Debora [2.8K]2 years ago

7 0

Answer:

180

Step-by-step explanation:

The 3 interior angles of any triangle will always add to 180 degrees.

Andru [333]2 years ago

6 0

3 inferior angle is always will be equal to 180 degree

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The minute hand of a clock is 1010 inches long and moves from 12 to 33 o'clock. How far does the tip of the minute hand move?

kenny6666 [7]

Answer: 2929 π inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

= 2020 π inch for an hour

Now it comes from 12 to 33 o'clock= 1.45 hour so,

Tip of minute hand moves= 2020 π inch x 1.45

Tip of minute hand moves= 2929 π inch

5 0

2 years ago

Simplify the expression 1+2*[(3+1)*5+3]

Lady bird [3.3K]

1 + 2 *[(3+1)*5+3]

= 1 + 2*[(4)*5+3]

= 1 + 2*[20+3]

= 1 + 2 * 23

= 1 + 46

= 47

Answer

c. 47

7 0

2 years ago

Read 2 more answers

From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th

wel

Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The width of a square is its side length.

The width of a circle is its diameter.

Therefore, the largest possible circle that can be cut out from a square is a circle whose diameter is equal in length to the side length of the square.

Formulas

$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$