Answer:
Step-by-step explanation:
A solid 7
Sorry lolz
Answer:
ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird
Step-by-step explanation:
Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.
When a line is perpendicular to another line, the gradient becomes the “negative reciprocal” which basically means flip the gradient and change the sign. In this instance the negative reciprocal of 5x has to be -1/5 as it has been flipped and made negative. At this point the answer can only be B or C.
After this you can use the point given to work out the y-intercept:
y-y1 = m(x-x1)
y-3 = -1/5(x+10)
y-3 = -1/5x - 2
y = -1/5x -1
And there’s your answer: C
Answer:
B. (13√2)/2
Step-by-step explanation:
Let L represent the length of one leg of the triangle. We note that the triangle is isosceles, so both legs are the same length. Then the Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:
13² = L² + L²
13² = 2L²
13 = (√2)L
L = 13/√2 = (13√2)/2 . . . length of one leg
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To "rationalize the denominator", we multiply the fraction 13/√2 by (√2)/(√2). The result is (13√2)/2.
