Robin hood plans to use a 54 ft ladder to reach the castle window of Maid Marian. Little John, who made the ladder, advised Robin that the angle of elevation of the ladder must be between \displaystyle 55^{of}55 o and \displaystyle 70^{of}70 o for safety. What are the minimum and maximum heights that can safely by reached by the top of the ladder when it is placed against the 50 ft castle wall

Answer:

m angle BCA =48 degrees

m angle ABC =70 degrees

m angle BAC=62 degrees

m angle BCD=132 degrees

Step-by-step explanation:

First you know that both interior angles have to equal the exterior angles (sorry I forgot what the name of the property). This means that the equation will be 6x-8+4x+10=12x-24. Simplify this to get 10x-2=12x-24. Simplify again to get 2x=26. Divide each side by 2 to get x=13. Now that you know x is equal to 13, you should plug x into angle ABC, BAC, and BCD. When you finish, angle ABC should be 70 degrees, angle BAC should be 62, and BCD should be 132.  To find angle BCA, you know that angle ABC is 70 degrees and BAC is 62 degrees. Every triangle has to equal 180 degrees so the equation should be 180-70-62 which is equal to 48. Therefore, m angle BCA =48 degrees, m angle ABC =70 degrees, m angle BAC=62 degrees, and m angle BCD=132 degrees. With this you can mark the correct choices.

Hope this helps you

100x600=60000..............................

Answer:

320 yards long

Step-by-step explanation:

(100x2) + (60x2) = P

P = 200 + 120

P = 320 yards.

Answer:

91.6667%

Step-by-step explanation:

1/3 of 1/4 = 1/12

11/12 = 91.6667%

Have a great day <3

Answer:

50% of the donuts are plain

Step-by-step explanation:

out of 12 donuts, 1/4 have sprinkles. This results in 3 donuts having sprinkles. 3 out of 12 is 9. 1/3 of 9 is 3. 3 donuts have cherry filling. The rest, which is 6 are plain. 6 is 50% of 12.

Answer:

-x = -y + 1

x = 0.5y + 2

Step-by-step explanation:

Answer:

As news of these deaths spread throughout the city, mob violence exploded. White rioters rampaged through the black neighborhood that night and morning killing men and burning and looting stores and homes. Around noon on June 1, the Oklahoma National Guard imposed martial law, effectively ending the massacre.

Answer:

no

Step-by-step explanation:

at firth hr - 15×2=

2 nd hr - 60×2

and so on,it takes more than 8 hr

Answer:

jhadfiogdivbdui

Step-by-step explanation:

Answer:

SA = 270 ft²

Step-by-step explanation:

SA = 2(12×5)/2 + (7×5) + (13×7) + (12×7)

SA = (12×5) + (7×5) + (13×7) + (12×7)

SA = 60 + 35 + 91 + 84

SA = 270 ft²

Answer:

The answer is 5

Step-by-step explanation:

get to the middle of the 5's and that's your answer =>=

Answer:

The answer is 5

Step-by-step explanation:

Answer:

The probabilty is 1/2 for the coin and the probability is 1/6 for the die.

Hope this helps!

Step-by-step explanation:

Answer:

the posibility of getting a six on a die is 21/1 because there is 21 dot's on a die and getting a is 1/1 because there is only 2 sides hope this helps :)

Step-by-step explanation:

Answer:y=3x+4

Step-by-step explanation:

Answer:

3 with multiplicity 4 and 6 with multiplicity 2

Step-by-step explanation:

D

Answer:

7

Step-by-step explanation:

I just want points

Cities in which the mean is based on a smaller number of drivers will have greater variation in their means and are therefore more likely to be both safest and least safe.

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

Given that, from among the 300 largest cities in the United States, the FleeceU Auto Insurance Company identified the 10 safest and 10 least-safe U.S. cities.

It is noted that mean is used to measure the safety of a city. It is known that outliers have more effect on the mean value. The outlier drags the center or mean value toward it. Also, small samples usually have more variation. This could be the reason why small cities are on both safe and least safe cities lists.

So, the correct option is d.

Options (a) and (c) do not include any interpretation in terms of mean. Option (b) suggests that data is bimodal, but it does not signify why small cities are more in the lists. Option (e) does not conclude in terms of mean. Option (f) suggests the phenomenon of traffic congestion in big cities, but it cannot be considered only because of traffic the mean year is less. Option (g) does not imply statistically meaningful evidence to suggest the claim. And, option (h) is almost the same as option (d). However, since it does not suggest more about the variation, it is incorrect. Thus, except option (d), the remaining all statements are not recommended.

Therefore, option D is the correct answer

Learn more about the random sample here:

https://brainly.com/question/12719656.

#SPJ6

"Your question is incomplete, probably the complete question/missing part is:"

From among the 300 largest cities in the United States, FleeceU Insurance Company identified the 10 safest and 10 least-safe U.S. cities based on the mean number of years drivers went between automobile accidents. The cities on both lists were the smaller cities on the list of the 300 largest. Use facts about the sampling distribution model of the sample mean to select the choice below that explains why this is not surprising.

a. More people in larger cities drive older cars that are more accident prone.

b. In smaller cities, the distribution of the mean number of years drivers go between accidents is bimodal, which makes it more likely they will be in the safest and least-safe cities.

c. Larger cities have a higher incidence of hit-and-run accidents.

d.Cities in which the mean is based on a smaller number of drivers will have greater variation in their means and are therefore more likely to be both safest and least safe.

e. Accident statistics are more accurate in smaller cities.

f. Traffic congestion in larger cities decreases the mean number of years drivers go between accidents but not enough to place larger cities In the least-safe group.

g.Large cities are not on the safest list because their mean time between accidents is reduced by people who "stage" accidents for purposes of insurance fraud.

h.Smaller cities are safer, but a few accident-prone drivers (outliers) in some small cities decreases the mean number of years between accidents, resulting in these cities being listed on the least-safe list.

Answer:

x = 8.8

Step-by-step explanation:

First, you have to solve the side length for the smaller triangle.

[tex]c= \sqrt{ a^{2} +b^{2} }\\c= \sqrt{5^{2}+4^{2} } \\\\c=\sqrt{25+16} \\c=\sqrt{41} \\c= 6.4\\[/tex]

Now for the bigger square.

[tex]c= \sqrt{ a^{2} +b^{2} \\} \\c = \sqrt{6.4^{2} +6^{2} } \\c= \sqrt{40.96+36} \\c= \sqrt{ 76.96}\\c= 8.77\\[/tex]

Rounded to the nearest tenth = 8.8

https://g.co/kgs/dg245M

I use this for my pythagorean theorem questions

Answer:

A $20

A $5

And 2 ones.

add them up it =27

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

btw it would be a - not a + cause the line is going back

Answer:

Its will be 2/3

Step-by-step explanation:

hope it helps you

Answer:

3/5…...........….........

Answer:

1/32

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

2^(-5)

0.03125

Answer:

3.1-3.9/7 can be the answer.

Step-by-step explanation:

this is because you asked between and not exactly in half. 3.5/7 would be halfway

Answer:

Upper Control Limit = 6.03 oz

Lower Control Limit = 5.97 oz

Step-by-step explanation:

Given - A process that makes chocolate candy bars has an output that is normally distributed with a mean of 6 oz. and a standard deviation of .01 oz.

To find - Determine three sigma control limits for an x-bar (mean) chart assuming a sample size of 10.

Proof -

Given that,

μ = 6

σ = 0.01

Z value for 3 sigma process = 3

Now,

Control limits are - μ ± Zσ

Now,

Upper Control limit (UCL) = μ + Zσ

And

Lower Control limit (LCL) = μ - Zσ

Now,

UCL = 6 + 3( 0.01 )

        = 6 + 0.03

       = 6.03

⇒UCL =6.03 oz

Now,

LCL = 6 - 3( 0.01)

      = 6 - (0.03)

      = 6 - 0.03

      = 5.97

⇒LCL =5.97 oz

∴ we get

Upper Control Limit = 6.03 oz

Lower Control Limit = 5.97 oz

Answer:

2880

Step-by-step explanation:

144 months times 20 equals 2880

Answer:

1.9

Step-by-step explanation:

Answer:

That is 14 I think

Step-by-step explanation:

Remove all signs when finding the absolute value.

Answer:

Step-by-step explanation:

Answer:

2, 8 and 14

is this for the subject math

Answer:

-2/2

Step-by-step explanation:

function calculator