Answer:
827.39
Step-by-step explanation:
Volume = L X W X H
So 6.2 X 8.5 X 15.7
6.2 X 8.5 = 52.7
52.7 X 15.7 = 827.39
So the volume is <u>827.39</u>
Answer:




Step-by-step explanation:
Given

Required
Solve (a) to (d)
Using tan formula, we have:

This gives:

Rewrite as:

Using a unit ratio;

Using Pythagoras theorem, we have:




Take square roots of both sides

So, we have:


Solving (a):

This is calculated as:


Where:


So:




Solving (b):

This is calculated as:

Where:
---- given
So:


Solving (c):

In trigonometry:

Hence:

Solving (d):

This is calculated as:


Where:


So:



Answer:
100
Step-by-step explanation:
Mixed candy question... Skittles jar... to be filled with Jelly beans.
Let's first calculate the volume of the jar. We'll assume it's a regular cylindrical prism jar, unlike the one on the photo which is narrower on top.
V = π * r² * h = π * (3.5)² * 11.5 = 140.875 π = 442.6 cubic cm
Now, we don't have the precise measurement of a jelly bean, but we know it's roughly 2-3 cubic cm. The precision isn't needed to answer this question, just to have a rough idea... it's no 300 cu cm per jelly bean.
So, let's assume a 3 cu cm per jelly bean (2 cu cm wouldn't the final answer)....
442.6 / 3 = 147.5 jelly beans, approximately.
So, can they fit 100,000? No
Can we fit 10,000 in there? No
Can we fit 100? Yes.
Can we fit 1? Certainly
The most reasonable lower-limit would then be 100.
Let the smallest integer be x
The second integer = x + 2
The third integer = x + 4
x + x + 2 = x + 4 + 24
2x + 2 = x + 28
2x - x = 28 - 2
x = 26
So the numbers are 26, 28, 30
Answer:
A. X=-3
Step-by-step explanation:
16x-4+5x=-67
21x=-67+4
21x=-63
Divide through by 21
X=-3