Answer:
A cube shaped box can hold 42.875 cubic ft if each side measures 3.5ft
Step-by-step explanation:
We have given a cube shaped box.
Each side of a cube measures 3.5ft
A cube shaped box can hold up-to its maximum volume capacity.
That means , we need to find the volume of cube.
volume of cube = 
Here side = 3.5 ft
So, volume of cube = 
Volume of cube = 42.875 cubic ft
<h2>
Answer: x² - 15x + 56</h2>
<h3>
Step-by-step explanation:</h3>
To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:
(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)
= x² - 7x - 8x + 56
= x² - 15x + 56
Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., 
.
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.
Answer:
see the explanation
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
In this problem
If the perimeter of triangle is equal to 36 cm
The longest side can't be equal to 18 cm
The student is incorrect
Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm
and
Applying the triangle inequality theorem
Let
c -----> the longest side
a and b the other two sides
we have that
if c=18 cm
a+b > c
a+b > 18 cm
therefore
If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm
<span>9r - 2 = 16
9r = 16 + 2
9r = 18
r = 2
Answer : B) 2</span>
