Answer:
Hi there!
The correct answer to this question is: 97/15
Step-by-step explanation:
First step is to change all the mixed fractions into improper fraction.
9 8/9 becomes 99/9 and 4 8/15 becomes 68/15
then you divide 99/9 you get 11. then you multiply 11 with 15 to get a common denominator. so now the equation is 165/15 - 68/15 which equals 97/15
Answer:
see explanation
Step-by-step explanation:
Given that z varies directly with y and x then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 6, y = 12 and z = 10
k = = = = , hence
z = xy ← equation of variation
The volume V of the workbox can be calculated by the formula:
V=a*b*c where a is the length, b is the width and c is the height.
In our case a=5'', b=31/2'' and c=4''.
When we input the numbers in the formula we get:
V=5*(31/2)*4=310 in³
So the interior volume V of the workbox is V=310 in³.
Answer:
m=2
Step-by-step explanation:
-2.73m-10.92=-6m-4.38
3.27m=6.54
m=2
Answers:
- Polygon? <u>Yes</u>
- Classify: <u>Pentagon</u>
- The polygon is <u>concave</u>
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Explanation:
The figure is a polygon because it's composed of straight lines only, and we have a closed loop (or enclosed area).
This is a pentagon since it has 5 sides
The pentagon is concave because of the angle kicked in up top that caves in, so to speak. This interior angle exceeds 180 degrees and is known as a reflex angle.
Here's another way to determine the figure is concave: It's possible to pick two points inside the polygon such that the segment formed between them crosses outside the boundaries. See the diagram below.