The balloon assumes the shape of a sphere with a formula of the volume equal to V = 4/3 pi r^3 where r is the radius of the balloon. In this case, we are given with volume of 288 pi in^3. We just substitute the given volume such that the resulting radius that answers the problem is 6 inches.
Answer:
there you go . i couldnt write it so i took a screenshot of it . mark me brainliest plz
Answer:
C
Step-by-step explanation:
5a + 18 < -27
5a < -45
a < -9
Graph C matches the solution set of this inequality.
Answer:
8 movies or video games.
Step-by-step explanation:
Let x be the number of movies or video games on rent.
We have been given that Omar has a choice of belonging to a video club with a monthly fee of $12 and $1-a-day rental fee for any movie or game. We can represent the charges for x movies or video games for a member of club as: .
Omar can be a non-member and pay $2.50-a-day rental fee for any movie or game. We can represent the charges of a non-member for x movies or video games as: .
To find the number of movies for one day for the cost to be equal we will equate our both expressions.
Therefore, Omar must rent 8 movies or video games for one day for the cost to be equal between membership and non-membership.
By renting 8 movies or video games charges for membership will be: 8+12=20.
By renting 8 movies or video games charges for a non-membership be: 2.5*8=20.
Hence charges of renting 8 movies or video games are same for both membership or non-membership.
Answer: 89 will go in the box
This means the exact distance between the two given points is which approximates to roughly 9.4339811
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Explanation:
To get that answer, we can apply the distance formula
(x1,y1) = (-1,-5) is the first point
(x2,y2) = (4,3) is the second point
Plug the coordinates into the distance formula
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Alternative Method:
You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.
After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.