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3 years ago

Determine whether the relation is a function. (4,0), (4,1), (5,2), (6,3), (6,4)

Mathematics

1 answer:

Alexxandr [17]3 years ago

8 0

Answer:

The relation is not a function.

Step-by-step explanation:

In order for a relation to be a function, there can only be one output for every x value. If you were to graph this equation, it would not pass the vertical line test, as 4 has two outputs (0 and 1) and 6 has two outputs (6 and 4).

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Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang

Gennadij [26K]

The bird is 17 feet above the tree.

<u>Explanation:</u>

We need to think of this in terms of right triangles. If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet. The height of the tree is the height of the right triangle. The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird. Let's start with the top of the tree first.

She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree. In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite. The tangent ratio is height / base.

Let x be the height of the tree.

So,

$tan (25) = \frac{x}{60}$

$60 tan(25) = x\\\\x = 27.9 feet$

x is approximately 28 feet

Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

28 + 5 = 33 feet

Let y be the height of the bird in the air

$tan(37) = \frac{y}{60} \\\\60 tan(37) = y\\\\y = 45.2 feet$

y is approximately 45 feet

Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

45 + 5 = 50 feet

To know how far above the tree that bird is

50 - 33 = 17 feet

Therefore, the bird is 17 feet above the tree.

3 0

3 years ago

EQUATION ---> c/-q+6=14

sveta [45]

Answer:

c/-9+6=14

c/-9=14-6

c/-9=8

c=8×(-9)

c= -72

Therefore the answer is (b)

8 0

2 years ago

Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.

gtnhenbr [62]

Hi again!

2x + y > 8

The correct answer is option D
-------------------------------------------

Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.

6 0

3 years ago

the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the b

MA_775_DIABLO [31]

Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.

Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft

so h = building height = (80 ft)(2.75) = 219.8 ft

6 0

3 years ago

The ratio of red to green tiles in a pattern is 2:3 what fraction of the tiles are green

zhannawk [14.2K]

The answer is 2/10

your just reducing the ratio

3 0

3 years ago