Answer:
Valume of cylinder : πr² × h = π × 5² × 15 = 375π ≈ 1177.5 cm³
please edit your question man
Answer:
20+5x=
Step-by-step explanation:
Answer:
The prism is 3 by 3 by 1.5.
Step-by-step explanation:
The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.
The volume's prism is found using V = l*w*h. Substitute and simplify.
13.5 = x*x*1/2x
13.5 = 1/2 x^3
27 = x^3
3 = x
The prism is 3 by 3 by 1.5.
The answer to the inequality is expressed as x< 1 and x< -4
<h3>What are inequalities?</h3>
Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.
Given the inequality;
4x (x+3) < -24
First, expand the bracket
4x² + 12x < - 24
Let's turn to quadratic inequality
4x² + 12x - 24 < 0
Factorize further
4 ( x² + 3x - 4) < 0
4 ( x² + 4x - x - 4) < 0
4 ( x(x + 4) - 1 (x + 4) ) < 0
4(x - 1) ( x + 4) < 0
expand the bracket
4x - 4 < 0
x < 1
And
4x + 16 < 0
x < -4
Thus, the answer to the inequality is expressed as x< 1 and x< -4
Learn more about inequalities here:
brainly.com/question/25275758
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