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romanna [79]
3 years ago
15

12 The length of each side of regular pentagon

Mathematics
1 answer:
velikii [3]3 years ago
6 0

Answer:

the answer is number b 15x + 1

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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

h(t)=-16t^2 + 96t

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.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

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.

7 0
3 years ago
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A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?
telo118 [61]
The is Answer 204 inches
8 0
3 years ago
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Square WXYZ dilates by a factor of 1/3 with respect to the origin to create W'X'Y'Z'. If W'X' is 6 units, what is WX? *
zvonat [6]

Answer:

well you should firstcalculate the distance then divide by the primary source and you should be able to get the answer after substituting

Step-by-step explanation:

6 0
3 years ago
WHOEVER GETS IT RIGHT GETS BRAINLIEST SHOW YOUR WORK OR ELSE YOU WILL BE BLOCKED AND REPORTED
Anna71 [15]
Hi,
The answer is 4 sq. . cm,
If you see closely, it is nine times smaller, so we divide 36/9=4
So the area of the smaller figure is 4 sq. cm.
Hope this helps you.
6 0
3 years ago
A. 45:75<br> Simply the ratio
Ronch [10]
<h2>Answer:</h2><h2>3:5</h2><h2 /><h2>Hope this helps!!</h2>

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3 years ago
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