Answer:
ab = 1/2.
Step-by-step explanation:
The sides of the large square have length √5 while the sides of the small one have sides of length 2.
Each corner has a right triangle with legs of length a and b and hypotenuse 2.
So we have the system
a + b = √5
a^2 + b^2 = 2^2 = 4
Using the identity a^2 + b^2 = (a + b)^2 - 2ab:
4 = (√5)^2 - 2ab
4 = 5 - 2ab
2ab = 5 - 4 = 1
ab = 1/2.
In this question it is given that the promoter first purchased 2 3/4 of ads at first. When one of the concerts got cancelled, then the promoter cancels 1 5/8 pages of ads. It is required to be found the number of pages the promoter is using finally.
Number of pages bought by the concert promoter initially = 2 3/4
= 11/4 pages
Number of pages cancelled by the promoter
after one concert got cancelled = 1 5/8
= 13/8 pages
Then the total number of pages finally used by the promoter = (11/4) - (13/8)
= (44 -13)/8
= 31/8
= 3 7/8 pages
So the total amount of space used for ads by the concert promoter is 3 7/8 pages.
Answer:
Step-by-step explanation:
A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...
(1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal
Samantha made 4 gallons of punch.
__
1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...
(1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal
Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.
THE ANSWER IS EQUILATERAL BECAUSE THEY ALL HAVE EQUAL SIDES
Answer:
20+3+0.7+0.08+0.005
Step-by-step explanation:
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