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PSYCHO15rus [73]
3 years ago
14

Ikyjah’s cat is stuck up a tree. To rescue it, he places the base of a 10 ft ladder 3 ft away from the base of the tree. What is

the height of the branch which the cat is stuck on?
Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

The height of the branch is 9.54 ft

Step-by-step explanation:

Apply Pythagorean relationship in this question where the length of the ladder is the hypotenuse, and the distance from the tree base is the shortest side.Finding the height will be;

a²+b²=c²

a²+3²=10²

a²=10²-3²

a²=100-9

a²=91

a=√91=9.54 ft

Learn More

Pythagorean relationship:brainly.com/question/11967357

Keywords: cat, stuck, tree. rescue,base, ladder, height , branch

#LearnwithBrainly

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The word percent means something out of 100
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Given the following system of equations, what is the value of the y-coordinate of the solution?
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9/4 is the answer if you have any questions please let me know

4 0
3 years ago
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Mariana [72]

Answer:

1.y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

2.y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: \frac{y_2-y_1}{x_2-x_1}.

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by -\frac{1}{slope}. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.

6 0
2 years ago
Jonas is doing a science experiment with his class. The teacher has 21 fluid ounce of pond water to share equally with 10 pairs
tiny-mole [99]
2.1 ounces because you divide 21 by 10 which equals 2.1

3 0
3 years ago
Please help me!
Harman [31]

Answer:

The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.

The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.

Step-by-step explanation:

The equation y=f(x)+k represents that when k is negative, the graph moves downward.

6 0
2 years ago
Read 2 more answers
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