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nikdorinn [45]
3 years ago
14

Which statement, if any, can you prove based on the figure below?

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0
The answer is D because both of those answer choices can be proved by looking at the triangle
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as viewed from Cliff 360 m above sea level the angle of depression of a ship is to 28° how far is the ship from the shore
andrezito [222]
The distance of the ship from the shore is given by:
tan θ=opposite/adjacent
θ=28°
adjacent=x
opposite=360 m

substituting the values in our equation we get:
tan 28=360/x
solving for x we get
x=360/tan 28
x=677.06 m
6 0
3 years ago
Use the quadratic polynomial x2+x−12 to answer the questions. A: Which summary correctly applies the Fundamental Theorem of Alge
Murljashka [212]

Answer:

<h3>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>

Step-by-step explanation:

Given the quadratic polynomial  x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this  quadratic polynomial  is therefore 2. <u>This means that the equation has exactly two solutions. </u>

Let us determine the nature of the roots by factorizing the  quadratic polynomial and finding the roots.

x²+x−12 = 0

x²+4x-3x−12 = 0

= (x²+4x)-(3x−12) = 0

= x(x+4)-3(x+4) = 0

= (x-3)(x+4) = 0

x-3 = 0 and x+4 = 0

x = 3 and -4

This shows that the  quadratic polynomial has <u>two real roots</u>

<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>

7 0
3 years ago
Test 1. Give the appropriate factoring technique and factors of the following polynomials.
shutvik [7]
1) 5t^2 (1 + 6t)
2) 4x^3y^5 (5x + 2y)
3) (5r + 6x)(5r - 6x)
4) (x + 10)(x - 10)
5) (x - 3)^2
6) (x -5)(x - 3)
7) 3(16r^3 + 9)
8) 8(c^3 + 8d^3)
9) (2r - 125)(4r^2 + 250r + 15625)
10) (c + 3)(c - 1)
3 0
2 years ago
What is 783 divided by 18
alukav5142 [94]
43.5 is 783 divided by 18      783 ÷ 18 = 43.5
4 0
2 years ago
Read 2 more answers
How would I find the slope intercept form of x+y+3=0?
denis-greek [22]
Slope-intercept form follows the formula: y=mx+ b

To find the slope intercept form of those, you need to isolate y
For example, x + y + 3 = 0. Subtract 3 and x to get y=-x-3 and that is your slope intercept form! Simple as that :)
4 0
3 years ago
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