Answer:
64 : 343
Step-by-step explanation:
First use the radii to find the volume
1) Radius of first sphere is 4 (taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4
/3πr^3
V = (4/3)(π)(4^3)
V = (4/3)(π)(64)
V = 256/3 π
Volume of the first sphere = 256/3 π
2) Radius of the second sphere is 7 (also taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4
/3πr^3
V = (4/3)(π)(7^3)
V = (4/3)(π)(343)
V = 1372/3 π
Volume of the second sphere = 1372/3 π
Next, calculate the ratio by dividing the two numbers
256/3 π ÷ 1372/3 π
Answer should be 64 : 343
The simple way to do this problem is to just cube the numbers:
4:7 becomes 4^3 : 7^3 = 64 : 343
Either way works.
Answer:
(1/9)
Step-by-step explanation:
Mary can choose from white,red,or pink construction paper to create a heart.
And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.
The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.
The probability that she uses red or pink construction paper = (2/3)
(since red or pink are two out of the total 3 sample spaces available for construction paper)
Probability that she uses black marker = (1/3)
(Black is one of the 3 sample spaces for markers)
Probability that she uses gold glitter = (1/2)
(Gold glitter is one of two sample spaces for glitters)
The required probability is then
(2/3) × (1/3) × (1/2) = (1/9)
Hope this Helps!!!
Y= 4(sin(3x)-cos(2x))
y = 5sin(x-1)
25% is also equal to 1/4. One fourth of 8 is 2. Now, check your answer: 2 times 4 is 8. Hope that helps. :)
