Answer:
c = sqrt(11)
Step-by-step explanation:
We can use the pythagorean theorem to calculate the length of the hypotenuse.
c^2 = a^2 +b^2 where a and b are the legs and c is the hypotenuse
c^2 = 3^2 + (sqrt(2))^2
c^2 = 9 + 2
c^2 =11
Take the square root of each side.
sqrt(c^2) = sqrt(11)
c = sqrt(11)
Answer:
9 gallons per minute
Step-by-step explanation:
36 divided by 4 equals 9.
Answer:


Step-by-step explanation:
the ratio of sides of a 30-60-90° triangle, respectively, are 1 :
: 2
we can solve for 'x' using this proportion:
x/4 = 1/
now cross-multiply:
x = 4
x = 4/
we don't want to leave a radical in the denominator so we can multiply numerator and denominator by
to get:
4
/ 3 or 

Answer:
Lower limit of the sum: 0
Upper limit of the sum: 17
Explicit formula: ∑
(3+7i)
Step-by-step explanation:
Noting that each row has 7 more beads than the previous one and that the series also begins with 3, the formula is:
∑
(3+7i)
The lower limit is 0, since 3+ (7 * 0) = 3
When i = 0 you get the value of beads from the first row, when i = 1 you get the value of beads from the second row and so on. Given this, the upper limit is 17.
Answer:
d = 2
Step-by-step explanation:
Generate the first few terms
a₁ = (2 × 1) - 4 = 2 - 4 = -2
a₂ = (2 × 2) - 4 = 4 - 4 = 0
a₃ = (2 × 3) - 4 = 6 - 4 = 2
a₄ = (2 × 4) - 4 = 8 - 4 = 4
d = 0 - (- 2) = 2 - 0 = 4 - 2 = 2