A zip line starts 35 feet above the ground and has one landing platform. The line is secured into the ground
2 answers:
The complete question in the attached figure
we know that
(35)/(40.5+54)=x/54-------- > (35)/(94.5)=x/54---------> x=(54)*(35)/(94.5)
X=20 ft
the answer is 20 ft
we know that
(35)/(40.5+54)=x/54-------- > (35)/(94.5)=x/54---------> x=(54)*(35)/(94.5)
X=20 ft
the answer is 20 ft
Answer:
The height of the platform is 20 ft
Step-by-step explanation:
In the figure attached, the problem is shown.
Let's call α to the angle opposite to the 35 ft side. From sine definition:
sin α = opposite/hypotenuse
Taking into consideration both, major and minor triangles:
sin α = 35/(40.5 + 54) = x/54
where x can be isolated, as follows:
x = 35/(40.5 + 54) * 54 = 20 ft
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Answer:
In the image attached you can find the Unit 7 homework.
We need to findt he missing measures of each figure.
<h3>1.</h3>Notice that the first figure is a rectangle, which means opposite sides are congruent so,
VY = 19
WX = 19
YX = 31
VW = 31
To find the diagonals we need to use Pythagorean's Theorem, where the diagonals are hypothenuses.
Also, , beacuse rectangles have congruent diagonals, which intercect equally.
That means,
Figure number two is also a rectangle.
If GH = 14, that means diagonal GE = 28, because diagonals intersect in equal parts.
Now, GF = 11, because rectangles have opposite sides congruent.
DF = 28, because in a reactangle, diagonals are congruent.
HF = 14, because its half of a diagonal.
To find side DG, we need to use Pythagorean's Theorem, where GE is hypothenuse
This figure is also a rectangle, which means all four interior angles are right, that is, equal to 90°, which means angle 11 and the 59° angle are complementary, so
Now, angles 11 and 4 are alternate interior angles which are congruent, because a rectangle has opposite congruent and parallel sides.
Which means , beacuse it's the complement for angle 4.
Now, , because it's a base angle of a isosceles triangle. Remember that in a rectangle, diagonals are congruent, and they intersect equally, which creates isosceles triangles.
, by interior angles theorem.
, by vertical angles theorem.
, by supplementary angles.
, by vertical angles theorem.
, by complementary angles.
, by alternate interior angles.
, by complementary angles.
, because it's one of the four interior angles of a rectangle, which by deifnition are equal to 90°.
, by alternate interior angles and by given.
, by complementary angles.
, by complementary angles.
, by interior angles theorem.
, by supplementary angles.
, by supplementary angles.
, by interior angles theorem, and by isosceles triangle theorem.
, by definition of rectangle.
, by interior angles theorem, and by isosceles triangle theorem.
, by complementary angles.
, by alternate interior angles.
The figure is a rectangle, which means its opposite sides are equal, so
Then, we replace this value in the expression of side WZ
Therefore, side WZ is 29 units long.
<h3>7.</h3>We know that the diagonals of a rectangle are congruent, so
Then,
Therefore, side PR is 73 units long.
<h3>Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>
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Explanation:
If you know the cost function C(x), to find the marginal cost, we apply the derivative.
Marginal cost = derivative of cost function
Marginal cost = C ' (x)
Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.
D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).
To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.
Therefore, we go from this
to this
which is the final answer.