SR =sin (angle) = opposite leg/ hypotenuse
sin(52) = SR/ 7.6
SR = 7.6 x sin(52)
SR = 5.988 ( round answer as needed.)
QR = cos(angle) = adjacent leg / hypotenuse
Cos(52) = QR/ 7.6
QR = 7.6 x cos(52)
QR = 4.679. ( round answer as needed).
Angle S = 180 - 90 -52 = 38 degrees
Answer:8
Step-by-step explanation: Since the opposing way of solving is division, you divide 72 into 9 and you get 8.
52 cards - 4 kings = 48 other cards
Probability of picking something other than a king would be 48/52
48/52 can be reduced to 12/13 probability.
Answer:
<h2>length = 159 yards</h2><h2>width = 42 yards</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 402 yards
The statement
the length of the field is 9 yards less than quadruple the width is written as
l = 4w - 9
Substitute this is expression into the above formula and solve for the width
That's
402 = 2( 4w - 9) + 2w
402 = 8w - 18 + 2w
10w = 402 + 18
10w = 420
Divide both sides by 10
<h3>w = 42</h3>
Substitute this value into l = 4w - 9
That's
l = 4(42) - 9
l = 168 - 9
<h3>l = 159</h3>
Therefore
length = 159 yards
width = 42 yards
Hope this helps you