Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Answer:
157.1 in³
Step-by-step explanation:
In order to solve this question, we need to know the volume of that cylindrical container and the volume of the sphere( this is to know the capacity of the cylinder ie how much it can take and the amount of space the sphere can occupy).
Volume of a cylinder is=
pi × r² × h
Volume of a sphere is
4/3 × pi × r²
And here we were given the radius of the cylindrical container as 5 inches and its height as 10 inches
The radius of the sphere is 1 inch.
Applying this in the formula we have,
For cylinder :
22/7 × 5² × 10 = 785.7 in³
For the sphere:
4 ÷ 3 × 22/7 × 1² = 4.19 in³
And if there are 150 marbles in the container ,it is going to occupy a total space of 628.57 in³.
Therefore,the remaining space left in the cylinder will be 785.7 - 628.57 = 157.1 in³
Box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. The key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.
Answer:
5 g
Step-by-step explanation:
it's really that easy
Answer:
12 hours per week
Step-by-step explanation:
1. Find how many hours she worked to make $3,000 (36x10=360 hours)
2. divide 360 hours by 30 weeks
she would need to work 12 hours per week to make $3,000