Use the vertical line test to determine whether the relation graphed is a function.

Determine the measure of an angle whose measure is 17 times that of its complement.

Iteru [2.4K]

Complement angles are angles which when added, the sum is equal to 90 degrees. In this case, we let angle one as x while angle 2 is represented by 17x. The equation then is equal to x + 17x = 90 ; 18x = 90. x from the equation is equal to 5. Hence teh angles are 5 degrees and 85 degrees

4 0

3 years ago

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A sports team played 100 games last season. Did this team win at least half of the games it played last season? (1) The team won

Lelechka [254]

Answer:

Insufficient data.

Step-by-step explanation:

Given,

Total number of games = 100,

(1) The team won 60% of its first 65 games last season.

So, the number of winning games in 65 games = 60% of 65

$=\frac{60\times 65}{100}$

$=13\times 3 = 39$

But we do not know about the data for last 35 games,

Thus, the data is insufficient.

(2) The team won 60% of its last 65 games last season.

So, the number of winning games in last 65 games = 60% of 65 =39,

Thus, the total winning games = 45 + 45 = 90,

But we do not know about the data for first 35 games,

Thus, the data is insufficient.

When we combined both (1) and (2) statements,

we found that the maximum number of games won by the team = 39 + 39 = 78,

But there is a overlap of 30 games,

i.e. an unknown number will be subtract from 78 to find the exact number of winning games.

Hence, even after combining statements (1) and (2),

The data is insufficient.

6 0

3 years ago

Find p(1) if the polynomial is p (X)=x2-3x+6<br><br>

sveticcg [70]

Step-by-step explanation:

hope it helps you..........

8 0

3 years ago

A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.

yanalaym [24]

Answer:

173.15 ft.

Step-by-step explanation:

Please find the attachment.

Let L be the length of kite.

We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.

We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.

$sin(12)=\frac{36}{L}$