Answer:
10 Remainder 38 i think
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft
Line up the decimal points and multiply right to left ...any missing numbers equal 0
20: Let
be the amount of money. If this amount is shared between 8 people, each person will get x/8 dollars. But there actually are 6 people, so everyone is getting x/6 dollars. We know that this difference results in 30 dollars more, so we have
Rearrange the left hand side as
And multiply both sides by 24 to get
21: Let
and
be the number of marbles owned by Mike and Judy, respectively. At the beginning, we have
If they both get 9 more marbles, Mike will have
marbles, and Judy will have
marbles. So, we have
Plug this value in the first equation and we have
And we deduce
So, the difference is
22: Let
be the number of $10, $20 and $50 coupon, respectively. We're given:
Rearrange as follows:
And now we can deduce the number of the other coupons:
So, the total value is
23: a) In order to find the first three terms of the sequence, you just need to plug n=1,2,3:

b) We have

c) 105 is a term of the sequence if and only if there exists an integer k such that

So, 105 is not a term of the sequence.