Answer:
leg 1= 36 feet
leg2 = 15 feet
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.
leg1 = x
leg2 = x-21 (21 feet less than the other leg)
Replacing with the values given:
39^2 = x^2 + (x-21)^2
1,521 = x^2 + x^2 -42x +441
0 = 2x^2 -42x +441-1,521
0= 2x^2 -42x -1,080
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x=-(-42)± √(-42)²-4(2)-1080] /2(2)
x= 42± √10,404] /4
x = 42± 102 /4
Positive:
x = 42+102 /4 = 36
leg 1= 36
leg2 = 36-21 =15
Feel free to ask for more if needed or if you did not understand something.
Answer:
60 mph
Step-by-step explanation:
We don't know how far Jimmy drives in each direction. Let this distance be d. Then, d = rate * time, and d = r(2 hours) (where r represents his speed while driving to the ferry).
But it's also true that d = (r - 20 mph)(3 hours).
Equating d = r(2 hours) and d = (r - 20 mph)(3 hours), we get:
r(2) = (r - 20)(3), or 2r = 3r - 60.
Subtracting 2r from both sides yields 0 = r - 60, so that r = 60 mph.
Jimmy averaged 60 mph on the outbound trip.
Answer:
Option C
Step-by-step explanation:
Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,
P ∝ N
P = kN
Here 'k' is the proportionality constant
To get the value of proportionality constant,
Since, value of 10 cribs is $1320
1320 = k(10)
k = 132
Therefore, equation will be
P = 132N
Option A
If number of cribs = 6
P = 132(6) = $792
False.
Option B
For N = 22
P = 132(22) = $2904
False.
Option C
For N = 40
P = 132(40) = $5280
True
Option D
For N = 55
P = 132(55) = $7260
False
Option E
For N = 80
P = 132(80)
= $10560
False
Option F
For N = 250
P = 132(250)
= $33000
False
If the given options have been written correctly only one option, Option (C) is correct.
Here are the answers to the given questions above. The sets of numbers that are closed under multiplication are the following: Whole numbers, and Integers. The answers would be options A and D. Whole numbers are closed<span> only </span>under<span> addition and </span>multiplication. Integers are closed under<span> addition, subtraction, </span>multiplication<span>, and division (with the exception of division by 0). Hope this answer helps.</span>
