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2 years ago

1. The diameter of a circle is 36 centimeters. Find the radius. (Section 13.1)

Mathematics

1 answer:

Pepsi [2]2 years ago

5 0

36/2=18
18 would be your answer the radius is half of the diameter

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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

Find the value of x. Round your answer to the nearest tenth

snow_tiger [21]

Answer:

64.01

Step-by-step explanation:

tan∅= p/b

tan58= x/40

or, x= 40×tan58

x = 64.01

6 0

2 years ago

A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer

Sedaia [141]

This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20

P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=Compare%20%5C%3A%20the%20%5C%3A%20graphs%20%5C%3A%20of%20%5C%5C%205x%20-%20y%20%3D%2012%20%5C%

fenix001 [56]

Answer:

<u>Given</u>

Equation 5x - y = 12

and

Inequality 5x - y > 12

<em>See the graphs attached</em>

To draw the graphs follow the rules we described in the previous questions.

1. Identify x-intercept and y-intercept and connect them to have the line.
2. Shade the region above or below the line for the inequality.

We see the only difference the expressions have is the equation or inequality symbols.

Equation symbol means the graph of the equation is a line.
Inequality symbol means the graph of this is a region above the same line, in our case the line is not a part of the covered region because it is "<".

We can state that the inequality excludes the line and includes only the region above the same line.

5 0

3 years ago

The figure is cute into 12 equal pieces shade 3/4 of the figure

netineya [11]

Shade in 9 boxes

12÷4= 3 (This is 1 fourth)

3×3=9 (This is 3 fourths)

6 0

3 years ago