B = 3
3 to the second power is 9, and 4 • 9 = 36.
9514 1404 393
Answer:
q - p
Step-by-step explanation:
For complementary angles B and C, ...
cos(C) = sin(B) = p
sin(C) = cos(B) = q
Then the difference is ...
sin(C) -cos(C) = q - p
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
Answer:
1/4
Step-by-step explanation:
The scale factor for area is the square of the scale factor for linear dimensions.
area scale factor = (1/2)² = 1/4
Polygon Q's area is 1/4 of the area of Polygon P.
Answer: packages of buns: 100
packages of patties: 67
jars of pickles: 133
(100,67,133)
Step-by-step explanation: packages of buns: B
packages of patties: P
jars of pickles: J
B:P:J = 3:2:4
B + P + J = 300
Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.
Bx + Px + Jx = 300
3x + 2x + 4x = 300
x = 300/9
So,
3.300/9 = 100
2.300/9 = 66.6666
4.300/9 = 133.333
As we cannot buy 0.666 or 0.33 of patties and pickles, we round up
So: packages of buns: 100
packages of patties: 67
jars of pickles: 133