Step-by-step explanation:
The wheel has a diameter of 250 feet, so its circumference is:
C = 2πr = πD
C = 250π feet
It makes one revolution in 30 seconds, or half a minute, so the linear speed of the passenger is:
v = d / t
v = 250π / 0.5
v = 500π ft/min
v ≈ 1571 ft/min
This is about the same as 17.9 mph.
Answer: x = 34°
Explanation:
As per definition, complementary angles add up 90°.
In the figure you see angle A measures x + 22° and angle B measures x.
Therefore, according to the definition, you can set this equation:
x + 22° + x = 90°
Solve for x:
- start: x + 22 + x = 90
- combine like terms: 2x + 22 = 90
- subraction property: 2x = 90 - 22
- do the operation: 2x = 68
- division propery: x = 68/2
- do the operation: x = 34
Answer: x = 34°
It is not reasonable because the decimal placing on the 4.23 is greater then the one on 413. (2 is bigger then 1). When dealign with decimals it is important to remember that if the numbers before the decimal are the same for both numbers you need to look at the first decimal as though it's the first number. so we know 4 and 4 are the same. Next we look at the .23 and .13. We know that the number 2 is bigger then 1 so it's safe to say that 4.23 is larger then 4,13.
X + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 195
(Make sure you don't add "x+5" because "x + 0" is an included term.)
5x + 10 = 195
5x = 185
x = 37
Hope this helps!
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x² - 2x + 6x + 4
= x² + 4x + 4
Equating to zero
x² + 4x + 4 = 0
(x + 2)² = 0
x + 2 = 0
x = - 2
