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cricket20 [7]
2 years ago
9

What does the expression 3(20+15) represent?

Mathematics
2 answers:
fgiga [73]2 years ago
7 0

Answer:

It represents 3x20 +3x15

Step-by-step explanation:

melomori [17]2 years ago
7 0

The expression 3(20+15) represents 20+15 then multiplying it by three.

If you were to solve the expression, the answer would be 105.

20 + 15 = 35

35 x 3 OR 35(3) OR 35 ∙ 3 = 105

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The height of a triangle is 4 inches greater than twice its base. The area of the triangle is no more than 168 in.² which inequa
Gennadij [26K]
<h2>Answer:</h2>

Correct option: B

<h2>Step-by-step explanation:</h2>

When we say a is no more than b, we express this in a mathematical language as follows:

a\leq b

In this inequality, we know that the area of the triangle is no more than 168 in². In other words, if the area is named A, then:

\mathbf{(1)} \ A\leq 168

We also know that the height of a triangle is 4 inches greater than twice its base. Translating this in a mathematical language:

\mathbf{(2)} \ h=2b+4 \\ \\ h:height \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle

From geometry, we know that the area of a triangle is given by:

\mathbf{(3)} \ A=\frac{bh}{2}

Matching (1), (2) and (3):

\frac{bh}{2}\leq 168

Since the length of the base of the triangle is x, then b=x

\frac{x(2x+4)}{2}\leq 168 \\ \\ Common \ factor \ 2: \\ \\ \frac{2x(x+2)}{2}\leq 168 \\ \\ \boxed{x(x+2)\leq 168}

Finally, correct option is B.

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