Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71 Simplify
xy = 3x + 3y + 71 Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71 Simplify
y² + 2y = 3y + 6 + 3y + 71 Subtract 6y from both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7
When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143
Our values work!
Answer: 11, 13
250 miles is 1 320 000 feet.
A penny is 0.005 feet tall.
You'd need 1 320 000 / 0.005 = 264 000 000 pennies to make a stack that high
Answer:
Therefore,
The Measurement of AB is 16.25 units.
Step-by-step explanation:
In Right Angle Triangle ABC
m∠C=90°
AC = 10.01 .....(Adjacent Side to angle A)
m∠A=52°
cos 52 ≈ 0.616
To Find:
AB = ? (Hypotenuse)
Solution:
In Right Angle Triangle ABC, Cosine Identity,
Substituting the values we get
But cos 52 ≈ 0.616 ....Given
Therefore,
The Measurement of AB is 16.25 units.
Answer:
P=a+b+c
Step-by-step explanation:
a=side
b=base
c=side
in your case do this for each two lines on every angle and use base for the shape inside hope this helps
Answer:
B
Step-by-step explanation:
The first choice is true.
The second is not true.
Third is true.
I think the last is true (not sure)
