Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
5y+2x=10y=−25x+2246810−2−4−6−8−10246810−2−4−6−8−10Let's solve for x.5y+2x=10Step 1: Add -5y to both sides.2x+5y+−5y=10+−5y2x=−5y+10Step 2: Divide both sides by 2.2x2=−5y+102x=−52y+5Answer:x=−52y+5
Answer:
<em>Peter now has 54 baseball cards</em>
Step-by-step explanation:
<u>Percentages</u>
Assume Peter had x baseball cards in his collection. The 35% of his initial collection is
35 * x / 100= 0.35x
We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation
0.35x=14
When we solve for x, we'll know how many baseball cards Peter had before
x=14 / 0.35 = 40
Peter had 40 cards, he added 14 new baseball cards, so he now has 40+14=54
Peter now has 54 baseball cards
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
The formula for the volume of a cylinder ( V<span>=πr2</span>h) is useable to find the missing height. Then, to find the radius, use the equation, <span>r = square root of (V / (pi x h)). Plug your numbers into the equation and solve.</span>
