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3 years ago

Anyone? Help please its my final test!!!

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer:

yes ; 17.5 ft

Step-by-step explanation:

Triangle PRQ is isosceles

the base angle are equals

we know two legs, so we can find the tangent of angle x

tan = opposite/adjacent

tan = 7/16 = 0.4375

the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)

the roof is safe

B we can use the Phytagorean theorem to solve this

PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft

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ira [324]

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

$(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )$

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

$( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)$

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

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3 years ago

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Julli [10]

Answer:

15%

Step-by-step explanation:

$40 : 100 = 0,4

1% is $0,4

$6 : 0,4 = 15%

So the percentage is 15%.

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