Answer:
option D
. 254.34cm^2
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The options are:
A
. 56.52cm^2
B
. 141.30cm^2
C
. 1,017.36cm^2
D
. 254.34cm^2
step 1
Find the diameter of the largest circle
we know that
The diameter of the largest circle is equal to the sum of the diameter of the two inside circles
so
step 2
Find the area of the largest circle
we know that
The area of the circle is given by the formula
we have
----> the radius is half the diameter
assume
substitute
Answer:
Step-by-step explanation:
Using trigonometric ratio cos.
Here,
- Theta = θ = x
- Adjacent = 12
- Hypotenuse = 28
<h3><u>Finding x:</u></h3>
![\displaystyle cos \theta =\frac{adjacent}{hypotenuse} \\\\cos \ x =\frac{12}{28} \\\\cos \ x = 0.43\\\\x = cos^{-1} 0.43\\\\x = 65 \textdegree\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%20x%20%3D%5Cfrac%7B12%7D%7B28%7D%20%5C%5C%5C%5Ccos%20%5C%20x%20%3D%200.43%5C%5C%5C%5Cx%20%3D%20cos%5E%7B-1%7D%200.43%5C%5C%5C%5Cx%20%3D%2065%20%5Ctextdegree%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
<h3>
Answer: 720</h3>
============================================================
Explanation:
The number 8 from "8 year old boy" can be completely ignored. In my opinion, this is an (un)intentional distraction on your teacher's part.
There are 6 toys to arrange. The order is important.
- For the first slot, there are 6 choices.
- Then the second slot has 5 choices (we cannot have a toy occupy more than one slot at a time).
- The third slot has 4 choices, and so on.
We have this countdown: 6,5,4,3,2,1
Those values multiply out to 6*5*4*3*2*1 = 720
There are 720 ways to arrange the 6 different toys. Order matters.
---------------------
An alternative approach is to use the nPr permutation formula with n = 6 and r = 6. We use a permutation because order matters.
The nPr formula is
where the exclamation marks indicate factorial. For example, 6! = 6*5*4*3*2*1 = 720.
Answer:
Step-by-step explanation:
÷
×
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
