13. On a camping trip, you decide to hang your backpack from a rope stretchedbetween two trees, so bears can't steal your food while you sleep. The trees are 20
feet apart, and the rope is tied to each tree at a spot 12 feet above the ground. When
you hang your backpack on the rope, the weight of the pack pulls the rope down a
little each side of the rope now makes an angle of 15 degrees with the horizontal.
That night, a bear comes into your camp and tries to get your backpack with the
food in it. Standing on its back legs, the bear can reach 8 feet into the air. Is your
stuff safe? (Your backpack is two feet long.)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The sag in the rope can be found using the tangent relation. The side opposite the angle is the amount of sag in the middle of the rope. The side adjacent to the angle is half the distance between the trees, (10 ft). So the amount of sag is found from ...

Tan = Opposite / Adjacent

tan(15°) = sag/(10 ft)

sag = (10 ft)tan(15°) ≈ 2.68 feet

The 2 ft backpack will have its lowest extent a total of ...

12 ft -2.68 ft -2 ft = 7.32 ft

off the ground. Since the bear can reach up to 8 feet high, it can easily take a swipe at your backpack.

Your stuff is not safe.

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A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 0.6 Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6 Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67 Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67
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Simplify ratio 1.5:2.5

What is the value of x? A right triangle with a short leg measuring 5, a long leg measuring 5, and the hypotenuse as x.A. 10

B. 5

C. $2\sqrt5$

D. $5\sqrt2$

Answers

$look\ at\ the\ picture\n\nPythagoras\ theorem\n\nx^2=5^2+5^2\n\nx^2=25+25\n\nx^2=25\cdot2\n\nx=√(25\cdot2)\n\nx=√(25)\cdot\sqrt2\n\nx=5\sqrt2\n\nAnswer:D$

The answer is d.
If you are solving for a missing leg of a triangle you want to use Pythagoras Theorm.
a² + b² = c²
a and b will be the legs you have been given and c is your hypotenuse (x).
5² + 5² = c²
25 + 25 = c²
50 = c²
since you are solving for c not c² you must take the √ of 50
√50 does not come out as an even number so you must try to think of two numbers that you can multiply and get 50 one should be a perfect square. In this case it is 25 and 2
√25 = 5
√2 does not come out even so we express our answer as 5√2

Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.

Answers

propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional

another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)

not proportional

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Answers

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Answers

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So you want to pair them up
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And write the answer for each pair
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When looking at this you can see that each pair equals -1
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50*-1=-50
Answer is 50

You would use the same method if you were going up to a number like a 500
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Hey guys, I need help with this

Answers

Sorry. You really don't.

Just follow the instructions in Hint #2. Nobody is going to explain it
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They even gave you the second drawing, with all of the outside pieces
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Please explain how you got it and try to explain your steps!

Answers

Use the substitution method to solve.

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We have the value for y, so put it in the first equation.

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Now solve for y

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y = 3

Answer: y = 3 and x = 4

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