Answer:
The area of a circle is [tex]\pir^{2}[\tex] and the radius is 4 so we have 16π and substituting 3.14 for pi we get 50.24 .
Hope this helps!
Answer:
11.6 foot
Step-by-step explanation:
Length of the Ladder=12 foot
Distance of the base of the Ladder from the House=3 foot
Since the ladder leans against the wall in a slant position, it is the hypotenuse.
From Pythagoras Theorem,
Hypotenuse ²= Opposite ²+ Adjacent ²
12²=3²+x²
x²= 12²-3²=144-9=135
x=√135=11.61895003862
The Ladder reaches up to a height of 11.6 foot (to the nearest tenth) on the house.
Answer:
The first statement is true.
Step-by-step explanation:
The function is f(x) = - (x + 6)(x + 2)
⇒ f(x) = - x² - 8x - 12
Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.
Now, f(x) = - x² - 8x - 12
⇒ f'(x) = -2x - 8 {Differentiating with respect to x}
Now, f'(a) = -2a - 8 {Here a can be any real value}
And, the condition for increasing function at x = a is
- 2a - 8 > 0
⇒ - 2a > 8
⇒ a < - 4
Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)
Bob = 12 x T
Sue= 8 (T +2)
12T = 8T + 16
12T-8T=8T-8T +16
4T = 16
4T/4 = 16/4
T= 4 HOURS
PLUG T BACK INTO
12(4) = 8(4) + 16
48=48
DISTANCE = 48 kilometers
Just divide the price by the amount bought.
7.96÷5
Which equals 1.592. So round that to 1.59.
The unit price is $1.58 per pound.
Hope I helped!
