All categories

2 years ago

Hint: All of the corresponding angles and sides are congruent.

Mathematics

1 answer:

Flura [38]2 years ago

8 0

Answer:

How am I suppose to out the anwer in/

Step-by-step explanation:

You might be interested in

an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?

olga55 [171]

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

$r=\dfrac{30}{2}$

$r=15$

Area of a circle is:

$A=\pi r^2$

Putting $\pi = 3.14$ and $r=15$ in the above formula, we get

$A=(3.14)(15)^2$

$A=(3.14)(225)$

$A=706.5$

Therefore, the area of the hold is 706.5 square cm.

4 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

schepotkina [342]

Answer:

4.5

Step-by-step explanation:

To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that $a^{2}+b^{2} =c^{2}$ . Plugging in the values of the two legs given, we get $2^{2} +4^{2} =c^{2} =20$ . We can take the square root of each side and get that $c=\sqrt{20} =4.5$ .

4 0

2 years ago

Read 2 more answers

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = $\frac{1}{20}$

The probability of Javier to attend no events :-

P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

8 0

3 years ago

There are 80 skittles in a bag you pick a handful of 12 purple 6 orange 3 red 5 green 4 yellow. How many red skittles do you exp

frozen [14]

Answer

Step-by-step explanation

there is 15 of each color 3 take away 15 equals 12 red skittles left

7 0

3 years ago

Determine by inspection whether the vectors are linearly independent. Justify your answer.

jekas [21]

Answer:

B. The set is linearly independent because at least one of the vectors is a multiple of another vector.

Step-by-step explanation:

A set of n vector of length n is linearly independent if the matrix with these vectors as column has none of zero determinant. The set of vectors is dependent if the determinant is zero. In the given question the vectors have no zero determinants therefore it is linearly independent.

7 0

3 years ago