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2 years ago

ZAED = 137°. What is AEB? A А. D UJ с

Mathematics

2 answers:

cestrela7 [59]2 years ago

5 0

Answer:

$\text{B. }43^{\circ}$

Step-by-step explanation:

Angles $\angle AED$ and $\angle AEB$ are supplementary, meaning they add up to 180 degrees, because they form one side of a line.

Thus, we have:

$\angle AED+\angle AEB=180,\\137+\angle AEB=180,\\\angle AEB=\boxed{43^{\circ}}$

mario62 [17]2 years ago

4 0

Answer:

AEB =43

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

AED + AEB = 180

137+AEB = 180

AEB = 180-137

AEB =43

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2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver

timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$y = 2x^{2} - 9x - 56$

$2x^{2} - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529$

$x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8$

$x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0

2 years ago

A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh

Rainbow [258]

The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet