The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².
a) (1/2)(4)(2x-3) ≤ 10
b) 4x -6 ≤ 10 . . . . . simplify
... 4x ≤ 16 . . . . . . . .add 6
... x ≤ 4 . . . . . . . . . divide by the coefficient of x
c) The maximum value of (2x -3) in is (2·4 -3) in = 5 in.
The triangle should be no more than 5 in high to have an area less than 10 in².
Answer:
32
Step-by-step explanation:
Evaluate g(4), then substitute the value obtained into f(x) , that is
g(4) = 4² - 6 = 16 - 6 = 10, then
f(10) = 3(10) + 2 = 30 + 2 = 32
1 foot = 12 inches
(1 foot)³ = (12 inches)³
12³ = 1,728 in³
To change 10 cubic feet into cubic inches
10 ft³ * 1728 in³/ft³ = 17,280 in³ Choice C. Multiply by 1,728
Answer:
x = 9
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Sum the given angles and equate to 360
90 + 109 + 9x - 5 + 85 = 360, that is
9x + 279 = 360 ( subtract 279 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Step-by-step explanation:
2880x3=8640
6x3=18
he worked 18 days.