Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Amount of FICA to be paid
($14.25 x 40) x (7.65/100) = $43.61
To compare fractions, we need to have the same denominator
The least common multiple is
16
to change
, we should multiply the numerator and denominator by
4
=
<
so basically,
is greater than
which means
is greater
is greater
Answer:
$70
Step-by-step explanation:
break it down, 100% of 40 is 40, and 75% of 40 is 30, so add 40 and 30 to get 70
Answer:
263.76
Step-by-step explanation:
Assuming the shaded area is the yellow area all we must do is find the area of the small circle and subtract it from the larger circle.
To do this we can use the area of a circle equation:
first we need to find the radius of the large circle which is simply 4+6= 10
so the area would be:
then we find the area of the small circle is
next we evaluate:
Then replace pi with 3.14:
84 · 3.14 = 263.76
And you have your answer!
Hope this helps!
