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Digiron [165]
2 years ago
10

khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter,

what will be the length of the arc of each slice of cake.
Mathematics
1 answer:
Fudgin [204]2 years ago
5 0

Answer:

4.2

Step-by-step explanation:

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The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t
Marat540 [252]
\mathbb P(X>250)=\mathbb P\left(\dfrac{X-190}{30}>\dfrac{250-190}{30}\right)=\mathbb P(Z>2)\approx0.0228

Or, if you're familiar with the empirical rule and the basic properties of the normal distribution, you can use the fact that approximately 95/% of the distribution lies within two standard deviations of the mean, or

\mathbb P(|Z|

which means about 5\% of the distribution lies outside this interval, or

\mathbb P((-22))\approx0.05

Because the distribution is symmetric, you have

\mathbb P(-22)
\implies \mathbb P((-22))=\mathbb P(-22)=2\mathbb P(Z>2)\approx0.05
\implies \mathbb P(Z>2)\approx 0.025
8 0
3 years ago
Read 2 more answers
HEEELР ПОЖАЛУЙСТА HELР
seropon [69]

So for question one (about the equilateral triangle), you know any triangle equals 180 degrees. So an equilateral triangle has all equal angles, so 180/3 would equal 60 degrees for each angle.

Now for the first triangle out of the three isosceles.

You should know that there are two equal sides and one side that is not equal in a isosceles triangle.

So if one side is 34 degrees, and the other two are equal, then you first subtract 34 degrees from 180 degrees, because again, all triangles have 180 degrees. So 180-34 would equal to 146 degrees left. Now you divide 146 by two, because the other two angles are equal to each other. So 146/2 = 73 degrees for each of the remaining angles.

For the second triangle out of the three isosceles.

First, let's just calculate half of the triangle first. You already know two angles, 30 and 90 degrees (hence the 90 degree symbol).

So 30 + 90 would equal 120 degrees in total out of 180 degrees (because 1 triangle = 180 degrees).

So if you subtract 180-120 or 120 + ? = 180 to know the remaining angle of the half of the triangle, you would get 60 degrees left. And that also goes with the other side of the top angle of the entire triangle, so your answer for the second one would be 60 degrees. :-)

For the third triangle out of the three isosceles.

You know one angle is 75 degrees.

If you turn your screen a little bit (like about 90 degrees) to the left, you would see that two sides (with the x degree in the middle) is equal. So then know you know the other side of the triangle would also be 75 degrees, because one side that is equal has 75 degrees.

Now you have two 75 degrees, you add 75 + 75, which gives you 150 degrees now.

So obviously again, 180 degrees is the total amount of degrees in a triangle, and you want to know the last degree that would make the triangle equal to 180 degrees out of 150 degrees, so 180-150 or 150 + ? = 180, which gives you 30 degrees for x for the third isosceles triangle.

try doing the fourth one by yourself lol

5 0
3 years ago
The volume of this rectangle prism=____ft3.
serious [3.7K]

Answer:

18

Step-by-step explanation:

8 0
3 years ago
Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the ro
Brrunno [24]

<u>Answer-</u>

\boxed{\boxed{L=\dfrac{g}{4\pi^2 f^2}}}

<u>Solution-</u>

The equation for time period of a simple pendulum is given by,

T=2\pi \sqrt{\dfrac{L}{g}}

Where,

T = Time period,

L = Length of the rod,

g = Acceleration due to gravity.

Frequency (f) of the pendulum is the reciprocal of its period, i.e

f=\dfrac{1}{T}\ \Rightarrow T=\dfrac{1}{f}

Putting the values,

\Rightarrow \dfrac{1}{f}=2\pi \sqrt{\dfrac{L}{g}}

\Rightarrow (\dfrac{1}{f})^2=(2\pi \sqrt{\dfrac{L}{g}})^2

\Rightarrow \dfrac{1}{f^2}=4\pi^2 \dfrac{L}{g}

\Rightarrow L=\dfrac{g}{4\pi^2 f^2}

8 0
3 years ago
Read 2 more answers
What is the difference between the areas of a circular table with diameter 6 ft and a circular table with diameter 8 ft? Round y
MrMuchimi

If the diameter is given in a problem, area is computed as

A = (π/4) × D<span>2   where </span><span>π is equal to 3.14</span>

<span>If D (diameter)  of one circular table is 6 ft its  Area is 28 sq ft.</span>

If D of another circular is 8 ft its Area is 50 sq ft.

<span>The difference between the areas of the two tables is, therefore (50-28) or 22 sq. ft.</span>

3 0
3 years ago
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