Answer:
Center: (4,-13)
Radius: 17
Step-by-step explanation:
I guess you do not need an explanation, so I gave you only an answer.
Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Answer:
19,200 yds²
Step-by-step explanation:
The question is asking for how many <em>square yards</em> of grass is needed
This means that it is looking for the Area.
The formula for area is <em>Length x Width = Area</em>
<em>120</em> (Length)
<em>160</em> (Width)
<em>120 x 160</em> = 19,200
The unit of measurement is yards...
19,200 yds²
Park p :
18/82 = 0.219 = 21.9% green birds
park q :
39/88 = 0.443 = 44.3% green birds
park r :
38/64 = 0.593 = 59.3% green birds
park service :
22/50 = 0.44 = 44%
park with greatest percentage of green birds is park r <==
Answer:
C −2a^3+9a^2+45a+6ab^2+18b^2
Step-by-step explanation:
(a+3) ( −2a^2+15a+6b^2)
Distribute the a to the large term in parentheses and the 3 to the large term in parentheses
a ( −2a^2+15a+6b^2)+3 ( −2a^2+15a+6b^2)
−2a^3+15a^2+6ab^2 −6a^2+45a+18b^2
Combine like terms
−2a^3+15a^2−6a^2+6ab^2 +45a+18b^2
-2 a^3 + 9 a^2 + 6 a b^2 + 45 a + 18 b^2