Answer: Ally would need 6 more quarts of water.
Explanation: Since 4 quarts equal 1 gallon, 4*4 = 16 + 2 = 18, Julia would have 18 quarts. Subtract 12 from 18 to get 6 quarts.
Answer:
? = 140
Step-by-step explanation:
Use similar triangles and laws of proportions.
36/56 = 90/?
36 * ? = 56 * 90
? = 56 * 90/36
? = 140
Let the number of frogs in the Blue Pond be x
Blue Pond = x
There were 26 more frogs in Green Pond than in Blue Pond
Green Pond = x + 26
There were 80 frogs altogether
x + x + 26 = 80
2x + 26 = 80
2x = 80 - 26
2x = 54
x = 27
x + 26 = 27 + 26 = 53
There were 53 frogs in the Green Pond originally.
Answer:
Step-by-step explanation:
We can see each corresponding point of the figures is mirrored over x- axis.
<u>This is a reflection and the rule is:</u>
Tan3A=tan(2A+A)
We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))
tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)
We know that , tan2x=2tanx/(1 - tan^2x)
So, by substituting tan2A in (1),we get,
=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]
=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]
=[3tanA - tan^3A]/[1-3tan^2A]
Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]