Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Answer:
Find the distance between (2,3) (4, -7)
= 6
Find the distance between (-9,-4) (-3,6)
= -10
Answer:
a + c = 125 & 12a + 6c = 1140
Step-by-step explanation:
adult ticket total + child ticket total = 125 total tickets
($12 x adult ticket total) + ($6 x child ticket total) = $1140
Me. Pennington had 6 inches left over.
Explanation.
2 1/4 feet is equal to 27 inches. If he used 21 inches, then he'd had 6 inches left over; 27-21=6.
Have a good day!
