4500 feet
Step-by-step explanation:
We can begin by finding x using the tangent rule;
The tangent of the angle = the length of the opposite side / the length of the adjacent side
Tan 35 = 3500 / x
X = 3500 / tan 35
X = 3500 / 0.7
X = 5000
Now that we have x we can calculate the value of ? using the same tangent rule;
Tan 42 = ? / 5000
? = tan42 * 5000
? = 0.9 * 5000
? = 4500
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Answer:
D
Step-by-step explanation:
Given a polynomial f(x) with roots say x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the roots, that is
f(x) = (x - a)(x - b)
Here the roots are x = - 4, x = 0 and double root at x = 7
Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x
Given a double root at x = 7 the factor is (x - 7)², thus polynomial is
y = x(x + 4)(x - 7)² → D
The ratio of the sides EF/LM after the transformation is 1/8
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>
Dilation is the increase or decrease in size of a figure by a factor while translation is the movement of a point up, down, left or right.
Given the tansformation:
- (x,y) → (8x, 8y) → (x - 4, y - 4).
- This means a dilation of CDEF by 8 and translated 4 units down and 4 units left.
Hence:
LM = 8 * EF
EF/LM = 1/8
The ratio of the sides EF/LM after the transformation is 1/8
Find out more on transformation at: brainly.com/question/1548871
Answer:
Step-by-step explanation:
-1 and 1.
They are both 1 away from 0, meaning that the absolute value of both are 1.