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3 years ago

Help please……..??.?.?.?.?.?

Mathematics

1 answer:

aleksklad [387]3 years ago

7 0

9514 1404 393

Answer:

c) 16,500 m³

d) 277,088 mm³

a) V = LWH

b) V = πr²h

Step-by-step explanation:

The relevant volume formulas are ...

rectangular pyramid: V = 1/3LWH
cylinder: V = πr²h
rectangular prism: V = LWH

13c. The pyramid formula above tells us the volume is ...

V = 1/3(60 m)(15 m)(55 m) = 16,500 m³

13d. The cylinder formula above tells us the volume is ...

V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL

14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...

V = LWH . . . . . where L, W, H represent the length, width, and height

14b. The volume of a cylinder is given by the formula ...

V = πr²h . . . . . where r, h represent the radius and height (length)

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3 years ago

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Which expression is equivalent to |a|≤3 ?

weqwewe [10]

<h3>Answer: Choice 2. $a \ge -3 \ \text{ and } \ a \le 3$ </h3>

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Explanation:

The rule is that if $|a| \le k$ for some positive number k, then it can be written as the compound inequality $-k \le a \le k$ . This is a shorthand way of writing the two inequalities $a \ge -k \ \text{ and } \ a \le k$ combined together.

note: $-k \le a$ is the same as $a \ge -k$

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Therefore, $|a| \le 3$ turns into $-3 \le a \le 3$ which breaks down further to $a \ge -3 \ \text{ and } \ a \le 3$

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