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3 years ago

What is the measure of qrp

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

Check the picture below.

notice chord QR is a diameter, thus the vertex at P has a right-angle by Thales theorem.

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

Factor the trinomial: 2x^2+15x+25 PLEASE HELP MEH

Savatey [412]

Answer:

(2x + 5) ( x + 5)

Step-by-step explanation:

2x² + 15 + 25

2x² + 10x + 5x + 25

2x( x + 5) + 5( x + 5)

(2x + 5) (x + 5)

3 0

3 years ago

Read 2 more answers

Why isn't 9 divisible by 5622

Jobisdone [24]

Answer:

It is. Only you dont get a whole number.

Step-by-step explanation:

7 0

3 years ago

Which line segment is drawn in the figure? A.YZ B.WY C.XZ D.WZ

Dima020 [189]

The line segment shown in the figure is C. XZ. A line segment is a line that is bounded by 2 endpoints, hence the line is not infinite. As shown in the figure, only points X and Z are visibly connected. There are no visible lines connecting the other points together.

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3 years ago

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Subtract a number plus 6 from a number minus 10

mash [69]

Answer:

(n+6)-(n-10)

Step-by-step explanation:

n is the number.

plus means addition

minus means subtraction

6 0

3 years ago