Answer:
His wife gets $336 more than his son.
Step-by-step explanation:
Colin and Brian:
Ratio of 4:1.
So Colin gets
of the prize.
![\frac{4*2100}{5} = 1680](https://tex.z-dn.net/?f=%5Cfrac%7B4%2A2100%7D%7B5%7D%20%3D%201680)
Colin got $1680. Dividing between himself, his wife and their son:
Ratio of 2:5:3.
So Colin gets
, his wife gets
and his son gets ![\frac{3}{2+3+5} = \frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%2B3%2B5%7D%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
Wife:
![\frac{5*1680}{10} = 840](https://tex.z-dn.net/?f=%5Cfrac%7B5%2A1680%7D%7B10%7D%20%3D%20840)
His wife got $840.
Son:
![\frac{3*1680}{10} = 504](https://tex.z-dn.net/?f=%5Cfrac%7B3%2A1680%7D%7B10%7D%20%3D%20504)
His son got $504.
How much more does his wife get over their son?
840 - 504 = 336
His wife gets $336 more than his son.
Answer:
C) 6 feet
Step-by-step explanation:
The diagram is shown in the attachment.
Using the Pythagoras Theorem,
![x^2=4^2+4^2](https://tex.z-dn.net/?f=x%5E2%3D4%5E2%2B4%5E2)
![x^2=16+16](https://tex.z-dn.net/?f=x%5E2%3D16%2B16)
![x^2=32](https://tex.z-dn.net/?f=x%5E2%3D32)
We take positive square root to obtain
![x=\sqrt{32}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B32%7D)
![x=4\sqrt{2}](https://tex.z-dn.net/?f=x%3D4%5Csqrt%7B2%7D)
x=5.66ft
Rounding to the nearest feet we have x=6ft
The arc length of the semicircle is 5π units
<h3>Calculating length of an arc</h3>
From the question, we are to calculate the arc length of the semicircle
Arc length of a semicircle = 1/2 the circumference of the circle
∴ Arc length of a semicircle = 1/2 × 2πr
Arc length of a semicircle = πr
Where r is the radius
From the given information,
r = 5
∴ Arc length of the semicircle = 5 × π
Arc length of the semicircle = 5π units
Hence, the arc length of the semicircle is 5π units
Learn more on Calculating length of an arc here: brainly.com/question/16552139
#SPJ1
Answer:
45°
Step-by-step explanation:
Let's understand "supplement" and "complement" -- basics of geometry of angles.
- When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
- When we say two angles, a & b, are complementary, we mean that both ADD up to 90.
<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>
<em><u /></em>
We want to find complement of 45, so we subtract 45 from 90 to get:
90 - 45 = 45°
Hence, the complement of a 45° angle = 45°
You can round each number to the nearest half
12 3/8 = 12 1/2
6 7/8 = 7
Now, you have: 12 ½ × 7
Since you have a mixed number, change it to a decimal to make it easier.
12 ½ = 12.5
12.5 × 7 = 87.5
The product of 12 3/8 and 6 7/8 is about 87 1/2 = 87.5
~Aamira~
Hope this helped :)