Basically, we need to find the diagonal of the square. Once we have the diagonal, we need to find if it's more or less than 11 cm, which is diameter of the circle.
This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11
So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.
Answer:
x = 0.6623
y = 8
Image is attached for refernce of my solution
Step-by-step explanation:
In Δ DEF
By applying pythagoras theoram,
DE = 
=
∴ DE = 8
In Δ ABC
BC = y = 12 sin 30° = 6
AC = 
+ DE + x = + 8 + x = 12 cos 30°
⇒ 9.73 + x = 10.39
<h3>⇒ x = 0.6623</h3>
Answer:
$7.45
Step-by-step explanation:
If it's constant , divide the amount he earns by the amount of hours. It should be the same every time.
44.70 divided by 6=7.45
and so on
Answer:
k = -23
Step-by-step explanation:
-14=k+9
Subtract 9 from each side
-14-9 = k+9-9
-23 = k
h = 50 cos ( pie(x - 10 )/15 ) + 52
80 = 50 cos ( pie( x - 10 )/15 ) + 52
80 - 52 = 50 cos ( pie( x - 10 )/15 )
28 = 50 cos ( pie( x - 10 )/15 )
cos ( pie( x - 10 )/15 ) = 28/50
cos ( pie( x - 10 )/15 ) = 56/100
cos ( pie( x - 10 )/15 ) = cos ( 56 )
cos ( pie( x - 10 )/15 ) = cos ( 0.3111 pie )
Thus ;
pie( x - 10 )/15 = 0.3111 pie
( x - 10 )/15 = 0.3111
x - 10 = 15 × 0.3111
x - 10 = 4.6665
x = 10 + 4.6665
x = 14.6665 [ approximately ]
Thus the correct answer is exactly what u chose goodjob .....
