Answer: 
Step-by-step explanation:
The circular oil slick is expanding at a rate of 
Let A be the area of the circular oil slick,
So, the changes in A with respect to time (t),



Also, the change in diameter with respect to time(t),



For r = 1.5 m,
29 and 31
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Answer:
Step-by-step explanation:
If you have a square of side
, its diagonal would be
, and its area 
If the big square has a area of 900, this implies that its side is
, so the two diagonal of squares 2 and 4 added together would be
, therefore one diagonal wold be
. and its side
. The area (of one square) is 
finally the two areas combined (squares 2 and 4) would be 225
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
Answer:
Step-by-step explanation:
<em>Vertical angles are equal as per definition.</em>
- ∠E and ∠F are vertical angles
- m∠E = 9x+12 and m∠F = 3x+24
- x = ?
<u>Solution</u>
- 9x+12 = 3x+24
- 9x - 3x = 24 - 12
- 6x = 12
- x = 2