All categories

2 years ago

If the radius of a circle is irrational, the area must be irrational

1 answer:

8 0

That's a true fact. If you want to get really technical, the area of a circle is. ALWAYS irrational because it's the product of something and PI.

You might be interested in

What is the fourth term in the expansion of (x + 2y)^8?

Hatshy [7]

Base on my calculation and the simplification of the form and finding its 4th power of the x+2y, i came up with a solution and finally found an answer of B. 448x^5y^3, I hope i answer your questions directly and please feel free to ask for more and ask for clarifications

4 0

2 years ago

Mark tossed six balls

Ivanshal [37]

Six balls fell back down

8 0

2 years ago

Read 2 more answers

A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d

Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.

Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

$V=\dfrac{1}{3}b\times h,$

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

$\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.$

Therefore, the volume of the pyramid is

$V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.$

Thus, the required volume is $V=324~\textup{cm}^3.$ This makes (C) as the correct option.

5 0

3 years ago

PIUWawilities

blondinia [14]

Answer:

23.44%

Step-by-step explanation:

The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5

= 0.01116

There are 7C2 ways of the 2 4's being in different positions

= 7*6 / 2 = 21 ways.

So the required probability = 0.01116 * 21

= 0.2344 or 23.44%.

3 0

2 years ago

Aaron deposits $8,000 into an account that earns 3% interest, compounded Annually. How much money will he have after 4 years

Lapatulllka [165]

The equation used for this problem is

F = P(1+i)ⁿ
where
F is the future worth
P is the present worth
i is the effective interest rate
n is the number of years

Substituting the values,

F = <span>$8,000(1 + 0.03)</span>⁴
F = $9,004.07

Thus, after 4 years, Aaron will have $9,004.07.

4 0

2 years ago