Find the missing length in the similar figures.

The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of th

nataly862011 [7]

Area=pi (radius^2) Plug in numbers. 206=3.14 (r^2) Divide both sides by 3.14 65.61=r^2 Then square root both sides. 8.1ft =r Then round to the nearest foot. r=8ft

3 0

3 years ago

Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lott

Crank

Complete question is;

Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be picked, but for this exercise, pick 1 as the lucky number. What proportion of the time do you win?

Answer:

10%

Step-by-step explanation:

We are told that To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number.

This means the total number of single digits that could possibly be a winning one is 10.

Since we are told that only 1 can be picked, thus;

Probability of winning is; 1/10 = 0.1 or 10%

5 0

3 years ago

Which equation could be used to find the height of the flagpole?

Andrew [12]

Given a fragpole which makes a right angle with the point of observation with the angle of elevation as 50°.

Let x be the height of the flagpole, then

$\sin50^o= \frac{x}{5}$

Therefore, the <span>equation that could be used to find the height of the flagpole is
</span><span>x/5 = sin 50</span>

6 0

3 years ago

A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop o

mote1985 [20]

Answer:

7 oz, 13 sandwiches, 22.75 oz, and 30.33 oz.

Step-by-step explanation:

4 0

2 years ago

An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

blagie [28]

Answer:

84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

tan(30°) = OB/OA

OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0

3 years ago