4a.
We can get the least number by taking LCM of 24 and 16.
We list each of the numbers as prime factors and take the mutiplication of each unique prime factor that occurs the greatest number of times.
24 = 2 * 2 * 2 * 3
16 = 2 * 2 * 2 * 2
So,
2 occurs four times
3 occurs 1 times
LCM of 24 and 16 is:
2 * 2 * 2 * 2 * 3 = 48
Least number of cheese and cracker appetizer = 48
4b.
Sleeves are sold in 24.
So, to get 48, she would need to buy:
48/24 = 2 sleeves
4c.
Cheese slices comes in packages of 16. So she needs to buy:
48/16 = 3 packages of cheese
The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
Steps 4 and 5 describe the errors Stephen made.
Stephen evaluated 
.
His work is shown below.
<h3> Which two statements describe the errors Stephen made?</h3>
Step 1 -
Step 2 - 
Step 3 - 
Step 4 - 
Error is the step as 4 sign is negative.
So correct step is
Step 5 -
Error is the step as there are 4 in place of 3.
So correct step is
Steps 4 and 5 describe the errors Stephen made.
To learn more about the errors visit:
brainly.com/question/11472659
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Answer:
The sphere has a diameter of 32 in.
Step-by-step explanation:
The length of the radius is one-half the length of the diameter, definitely, and its diameter is the maximum distance from two counter-pointers on the surface of the sphere and its length is twice as high as that of the radius, because the radius is the distance from the centre of the sphere to any point of the border of the sphere.
The volume (V), where r is a transmitter, may be measured. In this case, the volume will be equal to the volume of the sphere.
Hope this helps.
