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MrRissso [65]
3 years ago
9

A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length h ft is to be built. If fenc

ing costs $ 2 divided by ft for the legs and $ 4 divided by ft for the​ hypotenuse, write the total cost C of construction as a function of h.

Mathematics
1 answer:
IceJOKER [234]3 years ago
8 0

Answer

(4h/√2)+4h

Explanation:

the side length as a function of h will be needed, so we will compute it first,

Let x be the side length of the right isosceles triangle, then using Pythagorean theorem.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

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He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
Scrat [10]
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees

Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides

Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°

An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees

Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120

This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees

Hope this helps :)
6 0
3 years ago
Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2:
Rainbow [258]
Line 1:
Expanding the vertex form, we have
  x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
  x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
  • the three expressions are equivalent on Line 1

Line 2:
Expanding the vertex form, we have
  x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
  x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
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The appropriate choice is
  Line 1 only
5 0
2 years ago
Read 2 more answers
What quadrants is csc less than 0.
adelina 88 [10]

quadrant IV

Sure hope this helped you, have a good day! =)

6 0
2 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Radda [10]
This is what the diagram is saying
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6 0
2 years ago
-4x-2y=-12 <br>4x+8y=-24​
sweet [91]

Answer:

x = 6

y = -6

Step-by-step explanation:

By adding both equations :-

=》-4x -2y + 4x + 8y = -12 + (-24)

=》-4x + 4x + 8y - 2y = -12 - 24

=》6y = -36

=》y = -36 ÷ 6

=》y = -6

putting the value of y in equation 2

=》4x + 8y = -24

=》4x + (8 × -6) = -24

=》4x - 48= -24

=》4x = 48 - 24

=》x = 24 / 4

=》x = 6

6 0
2 years ago
Read 2 more answers
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