Ball, marble, orange, onion, apple, melon, globe, tea-strainer, fish bowl, beads, grapes, lamp shade.
1 foot = 12 inches
Height of Jacob = 5 feet 6 inches = 5 *12 + 6 = 66 inches
Jacob's <span>shadow = 3 feet = 36 inches
</span>giraffe's shadow = <span>5 feet 9 inches = 5 * 12 + 9 = 69 inches
</span><span>by
the ratio and proportion
∴ </span>Height of Jacob/Jacob's shadow = Height of giraffe/giraffe's shadow
∴ 66/36 = Height of giraffe/69
∴ Height of giraffe = 69 * 66/36 = 126.5 inches = 10 feet 6.5 inches
Hello,
mes angle AEC=(69+105)/2=87
mes angle AED=(74+112)/2=93
Answer A
Hello :
the solution is : <span>(3, -1)
put x= 3 and y = -1
you have : 3-(-1) = 4 and 3+(-1) = 2 ..... right</span>
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)
