Answer:
Step-by-step explanation:
the value of the 4 in 6.14 is 0.04.
this is because the 4, or in this case 0.04
is in the hundredths place. So it is
suppose to have 0, where the 6 goes (also
the ones or units) The decimal point, another 0
where the 1 goes, ( the tenths) and finally back
to the 4. (Like I said, it’s the hundredths place)
so there you have it. Your answer will be 0.04
Answer:
yes
Step-by-step explanation:
All of the opposite sides are parallel to each other.
Answer:
n=9
Step-by-step explanation:
7n+5=68 Subtract 5 on both sides.
<u>-5 -5</u>
7n=63 Divide both sides by 7.
<u>/7 /7</u>
n=9
Hope this helps! Have a nice day ^^
Answer: 108
Step-by-step explanation: 60% of 180 is 108
Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
