a classroom has 24 bulbs and four of the bulbs are failed. how many arrangements are the four failed bulbs are possible?

toan is building tables for the park department.He needs 20 bolts for each table.if he has 60 bolts at his workplace and he gets

Masteriza [31]

360
_
20 + 18 your welcome enjoy your answer :D

4 0

3 years ago

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t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

What kind of triangle is abc. Select all that apply. Geometry

pshichka [43]

Answer:

Right, Isosceles

Step-by-step explanation:

The side lengths of this triangle : 2√8 2√5 2√5

Scalane triangle has all side lengths in different measure but in this triangle we have two side lengths equal

Right triangle has a right angle with 90° and the square measure of hypotenuse is equal to sum of the square length of two side lengths in this triangle since 2√5 + 2√5 = 2√8 we can say that this is a right triangle.

Isosceles triangle are triangles with two side lengths equal to each other

Equilateral triangles are triangles with all side lengths equal to each other but we know one of the side length in this triangle is different

so the answer is Right and Isosceles.

6 0

2 years ago

If the 16 boys in the classroom is 40% what is the percent of girls

notsponge [240]

Answer:

60%

Because the reaming percent has to add up to 100. 60 plus 40 is 100

3 0

2 years ago

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Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?

tangare [24]

Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:

 Statement Reason

ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.

Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.

∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD

Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
Solution:

 Statement Reason

Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.

Angle A = Angle C Since both are right angles, they are congruent

Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.

∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD

6 0

3 years ago