Answer:
4.4 ft/s
Step-by-step explanation:
Height = 15ft
Rate= 5 ft/s
Distance from the man to the kite= 32ft
dh/dt = 5 ft/s
h = √32^2 - 15^2
h = √ 1025 - 225
h = √800
h = 28.28ft
D = √15^2 + h^2
dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt
= h(225 + h^2)^-1/2 dh/dt
= (h / √225 + h^2)5
= (28.28 / √225 + 28.28^2)5
= (28.28 / √1024.7584)5
= (28.28/32)5
= 0.88*5
= 4.4 ft/s
Answer:
7/8
Step-by-step explanation:
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.
WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B
Diameter of sphere B is 42
Radius = diameter /2
Radius = 42/2= 21
Radius of sphere B = 21
RAdius of sphere A times x= radius of sphere B
24 * x= 21
Divide by 24 on both sides
x= 21/ 24
divide top and bottom by 3
x= 7/ 8
Use the following abbreviations:
y = year,
d = day,
h = hour,
min = minute,
s = second,
ms = millisecond.
Then

Therefore, the correct calculation is
1000 * 60 * 60 * 24 * 365
Answer: 1000 * 60 * 60 * 24 * 365
We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance
a =3
b =2.5
c =4
Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°
cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°
C=180 - 48.59° - 38.625°
C= 92.79°
The three angles are 48.59°,38.63° and 92.79°.