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Tpy6a [65]
3 years ago
6

The in-bounds region of a high school football field is a rectangle that measures 160 feet by 300 feet, as shown in the diagram

below. Which of the following is the closest to the diagonal distance of the field?
170 feet

230 feet

340 feet

460 feet
Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0

Answer:

Step-by-step explanation:340 you are supposed to use Pythagorean theorem.

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There are 15 red, 10 green and 9 white balls in the dark room. Jack wants to take a minimal number of balls such that at least 8
agasfer [191]
<h3>Answer: 24</h3>

=================================================

Explanation:

If Jack were to get really lucky and draw either

* 8 red balls in a row

* 8 green balls in a row, or,

* 8 white balls in a  row

then the answer would be 8. However, this event of drawing the same color ball 8 times in a row is fairly unlikely. What is more likely is that there will be multiple colors involved (because we have roughly the same number for each color mors or less). So consider the scenario in the next section below.

----------

If Jack were to draw a red ball first, then a green ball second, and then a white ball third, then so far has selected 3 balls from the drawer. None of the colors match up. This is leading to the worst case scenario in terms of the number of balls to select. In other words, Jack is really unlucky to not get any colors match up so far. When aiming for a guarantee like this, it is wise to think of the worst case scenario.

If we repeat the pattern (red, green, white) then so far we have 2 balls of each color. In total we have selected 6 overall. Note how 3*2 = 6.

Repeat this a third time, then we'll select 9 balls total (3*3 = 9)

The fourth iteration of this pattern has 3*4 = 12 balls overall picked out, and so on.

If we continue the pattern, then we'll see that we will need to select 3*8 = 24 balls to guarantee that we have at least 8 of the same color (eg: 8 red balls). Chances are that we'll have 8 of the same color before we hit the 24 ball mark, but we wont have a 100% guarantee of such. Reaching 24 balls is the only way to guarantee the claim is true.

So to summarize: I pictured the worst case scenario (red,green,white) and extended out the pattern so that it led to 24 as the final answer.

4 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through (3, 4) and ( 2, -1) in slope-intercept form
rjkz [21]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{3}}}\implies \cfrac{-5}{-1}\implies 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{5}(x-\stackrel{x_1}{3}) \\\\\\ y-4=5x-15\implies y=5x-11

3 0
3 years ago
To lower his insurance rates, Damon increases his deductible from $240 to $360. What is the precent increase in his deductible?
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3 years ago
Use the diagram shown to find the volume of the sphere. Use 3.14 for pi. Round your answer to the nearest hundredth.
Tom [10]
V=3.14*4/3*r^3
r=4/2=2
v=3.14*4/3*2^3=33.4933333
B
4 0
3 years ago
Read 2 more answers
convert the measurement 5,000 yards (There are 1.09 yards in a meter.) A. 4000 m B. 6000 m C. 5 km D. 500 m
Ray Of Light [21]

Answer:

A

Step-by-step explanation:

If 1.09 yards is in a meter, then there are 4572 meters in 5000 feet.

A is the correct answer. Hope this helps!

3 0
2 years ago
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