6.37864 kilo ... hopefully thats helpful!
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
Answer:
Ishaan is 49 years old.
Step-by-step explanation:
Let the present age of Christopher be 'C'.
Let the present age of Ishaan be 'I'.
From the given data, we can form equations which will help us solve the problem.
Christopher is 20 years younger than Ishaan. This means:
C = I - 20 . . . (1)
Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.
From the data, I - 14 = 3(C - 14) . . . (2)
Substituting the value of C in Equation 2, we get:
I - 14 = 3(I - 20 - 14)
⇒ I - 14 = 3(I - 34)
⇒ I - 14 = 3I - 112
⇒ 2I = 112 + 14 = 98
⇒ I = 49
So, Ishaan is 49 years old.
Time is 16.75 seconds when the arrow reaches 200 ft
Step-by-step explanation:
- Step 1: Find time at height of 200 ft
Height = 200 ft
v = 280 ft/s
Projectile formula, h = -16t² + vt
⇒ 200 = -16t² + 280t
⇒ 16t² - 280t + 200 = 0
⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)
Using quadratic formula to find t
t = (35 ±√35² - 4×2×25)/2×2
t = (35 ±√1225 - 200)4 = 35 ± 32.02/4
∴ t = 67/4 or 3/4
t = 16.75 seconds
As stated by the statement, isometric means same measure. So, when a rigid transformation occurs all the measures of the original figure (which will be transformed) will be the same of the new figure (the result of the transformation).
That means that you can verify that the transformation used was rigid by checking the measures of both (original and transformed) figures: if and only if the meausures of the final figure are the same of the original figure the transformation was rigid.
