The picture in the attached figure
we know that
volume of the box=15*15*5-----> 1125 in³
the volume of one sphere=(4/3)*pi*r³
r=5/2----> 2.5 in
the volume of one sphere=(4/3)*pi*2.5³----> 65.45 in³
volume of 9 spheres=9*65.45 ----> 589.05 in³
<span>the volume of the empty space left in the box=1125-589.05--> 535.95 in</span>³
the answer is536 in³
<h3>
Answer:</h3><h3>
10 < x < 42</h3>
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Explanation:
Given a triangle with sides a and b, the third side c is bounded by this compound inequality
b-a < c < b+a
where a < b
--------
In this case, a = 16 and b = 26, so
b-a < c < b+a
26-16 < x < 26+16
10 < x < 42
I'm using a version of the triangle inequality theorem.
This unknown third side is between 10 cm and 42 cm. The third side cannot equal 10 nor can it equal 42.
Answer:
2x² + 4x + 3 = 0
Step-by-step explanation:
The function is said to be quadratic if it has highest degree = 2.
Further, The standard form of Quadratic Equation is:
ax² + bx + c = 0
where, a ≠ 0
a, b and c are constants
and x is unknown variable.
Thus, The Standard form of given Quadratic Equation is 2x² + 4x + 3 = 0
There are 36 dogs in the shelter.
<h3>How to find the total number of dogs in the shelter?</h3>
The ratio of dogs to cats in the shelter is given as 9:15.
The total number of dogs and cats is given as 96.
Let the constant of proportionality be x.
The total number of dogs is 9x and the total number of cats is 15x.
This means that:
9x + 15x = 96
24x = 96
x = 4.
The total number of dogs in the shelter = 9 × 4
= 36
Therefore, we have found that there are 36 dogs in the shelter.
Learn more about ratios here: brainly.com/question/2914376
#SPJ4
Answer:
4m - 64
Step-by-step explanation:
Solve 4(m - 16)
4(m - 16) = 4 x m - 16 x 4
= 4m - 64
