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Misha Larkins [42]
3 years ago
13

A rectangular box is 5 in. ​wide, 5 in. ​tall, and 4 in. long. What is the diameter of the smallest circular opening through whi

ch the box will​ fit?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0

Answer:

7 (7.07106781187)

Step-by-step explanation:

All you have to do is find the diameter of the rectangle from two farthest corners. To do this, use the Pythagorean Theorem

(5^2) + (5^2) = c^2

25 + 25 = c^2

50 = c^2

7 ≈ c

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Answer: c<2

Step-by-step explanation:

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The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

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Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

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Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

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583.3

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yes

Step-by-step explanation:

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