The formula for the law of sines is:
sin(A)/a = sin(B)/b = sin(C)/c
Big letters denote angle measures while smaller letters denote side lengths.
Here,
The midpoint of segment QR is M
<u>m</u><u>(</u><u>-2</u><u>,</u><u>9</u><u>)</u> x3=-2,y3=9
<u>Q</u><u>=</u><u>(</u><u>-8</u><u>,</u><u>1</u><u>2</u><u>)</u>x1=-8,y1=12
R=x2,y2
we know that,
⠀
So,
x3=
⠀
⠀
⠀
⠀
⠀
x2=4
now we find the y coordinate y2.
y3=
⠀
⠀
⠀
⠀
⠀
y2=6
<em>Now</em><em> </em><em>we</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>R</em>
<em>so</em><em>,</em>
R=(x2,y2)=(4,6)
<span>A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard. </span>
Answer:
x+y= 17
5x+22y= 238
Step-by-step explanation:
x= # of bracelets
y= # of necklaces
5x+22y= 238
x+y=17
Answer:
224 cm²
Step-by-step explanation:
Look at the figure below.
All sides are in cm. All areas are in cm².
Triangle A:
A = bh/2 = 8 × 21 / 2 = 84
Rectangle B:
A = LW = 9 × 8 = 72
Rectangle C:
A = LW = 4 × 5 = 20
Triangle D:
A = bh/2 = 6 × 16 / 2 = 48
Total area = 84 + 72 + 20 + 48 = 224
Answer: 224 cm²