Answer:
31.4 in
Step-by-step explanation:
This is a tricky question,
if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.
Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:
Circumference = 2πr
= 2 x 3.14 x 5
= 31.4 in
Answer:
Step-by-step explanation:
1. Symbolically, we get: 62 - 5x < 40
2. y - 7.3 < 3.4. Solve for y by adding 7.3 to both sides, obtaining:
y < 10.7 This is both the 'range' and the 'solution'
3a) 4b = 9b + 45, or -5b = 45, or b = -9
3b) 5a + 10 = 4a - 4
Combining like terms results in a = -14
Answer:
x=45
Step-by-step explanation:
This is a triangle so it interior degrees will add up to 180.
W
Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.
We can find OAC by using the triangle interior theorem,
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
