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3 years ago

14

suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. How far would the top of the ladder move down the

wall by pulling out the bottom of the ladder 5 feet?

1 answer:

Taya2010 [7]3 years ago

5 0

You can use the pythagoras theorem.

20^2=5^2+x^2

x^2=400-25
x^2=375

x = 19.36

20-19.36=0.64 feet

The answer is 0.64 feet :)

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PLEASE HELP WITH THIS QUESTION

Burka [1]

One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:

– Multiplied: Add their exponents
– Divided: Subtract their exponents

We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have

[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]

For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us

5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2

And summing the terms in the second:

3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2

Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.

Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is

2^0, which is just 1.

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3 years ago

From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the bo

Trava [24]

Check the picture below

now, <span>26°35' is just 26bdegrees and 35 minutes

your calculator most likely will have a button [ </span><span>° ' " ] to enter degrees and minutes and seconds

there are 60 minutes in 1 degree and 60 seconds in 1 minute

so.. you could also just convert the 35' to 35/60 degrees

so </span> $\bf 26^o35'\implies 26+\frac{35}{60}\implies \cfrac{1595}{60}\iff \cfrac{319}{12}
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tan(26^o35')\iff tan\left[ \left( \cfrac{391}{12} \right)^o \right]$

now, the angle is in degrees, thus, make sure your calculator is in Degree mode

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3 years ago

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30 ⅓ % of 3 plz help me

Vikki [24]

Answer:

3 / 10 is the answer in fraction and 0.3 is the answer in decimal.

Step-by-step explanation:

hope this answer will help you

have a great time

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2 years ago

A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co

Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

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Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

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z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

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3 years ago

Hank rode his bike for 2 hours at a rate of 11 miles, how far did hank ride

FrozenT [24]

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The answer is 22 miles because hank was riding for 11 mph so in another hour he would have done 22 miles

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2 years ago

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