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3 years ago

What is the area of the shaded region ?

Mathematics

2 answers:

Masja [62]3 years ago

5 0

I think it's 378 in.²

...But then again I'm not sure...

Grace [21]3 years ago

3 0

I think that if you multiply the triangle by two and then multiply the rest you would get the answer easy

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Can help me complete this problem please :c

motikmotik

Answer:

$A = \dfrac{7}{2}\pi~cm^2$

Step-by-step explanation:

There is a formula for the area of a sector given the radius and the angle measure.

$A = \dfrac{n}{360^\circ}\pi r$

n = angle measure

r = radius

$A = \dfrac{140^\circ}{360^\circ}\pi \times (3~cm)^2$

$A = \dfrac{14}{36}\pi \times 9~cm^2$

$A = \dfrac{7}{18}\pi \times 9~cm^2$

$A = \dfrac{7}{2}\pi~cm^2$

3 0

3 years ago

Read 2 more answers

On a biased dice the probability of getting 1 is 0.3. The ice is rolled 150 times. How many ones would you expect to roll?

Montano1993 [528]

Answer: 45

=====================================================

Work Shown:

n = number of rolls = 150

p = probability of rolling a "1" = 0.3

n*p = expected number of "1"s that show up out of the 150 rolls

n*p = 150*0.3

n*p = 45

We expect about 45 ones will show up.

8 0

2 years ago

All the yellow surfaces on this ferris wheel pod

Ierofanga [76]

20 in because it will over everything

6 0

2 years ago

The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³

5 0

2 years ago

Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul

Debora [2.8K]

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

4 0

2 years ago