A shadow 60 feet long is cast by an observation tower that is 32 feet tall. If a nearby oak tree is 8 feet tall, then how long will the oak tree's shadow be?

QUESTION POSTED AT 22/02/2020 - 06:24 PM

Answered by admin AT 22/02/2020 - 06:24 PM

32/60=8/x
32x=60x8
32x=480
x=480/32
x=15 ft tall
Post your answer

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QUESTION POSTED AT 28/03/2020 - 12:58 PM

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QUESTION POSTED AT 28/03/2020 - 12:44 PM

Tristen is a salesman whose base pay plus commissions amounted to $59,238 last year. if his base pay was? $31,050 and he made $97,200 in sales last year, what was his rate of commission? a) 61% b) 52% c) 29% d) 32%

Answer:

The commission rate is 0.29 or 29%

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can solve this problem, we need to create a formula that calculates the total amount of Tristen's payment. The formula would be the following,

T = b + (r*s)

Where:

  • T is the total pay
  • b is the base pay
  • r is the rate of commission
  • s is the total sales

Now that we have the formula we can plug in the values from the question and then solve for the rate of commission (r)

59,238 = 31,050 + (r*97,200) .... subtract 31,050 on both sides

 28,188= r*97,200 .... divide both sides by 97,200

0.29 = r

Now we can see that the commission rate is 0.29 or 29%

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

ANSWERED AT 28/03/2020 - 12:39 PM


QUESTION POSTED AT 28/03/2020 - 12:39 PM

There is a set of 100 observations with a mean of 40 and a standard deviation of 0. What is the value of the smallest observation in the set?

Answer with Step-by-step explanation:

There is a set of 100 observations with a mean of 40 and a standard deviation of 0.

standard deviation=0

means that variance=0     (since, variance=square of standard deviation)

now, variance is calculated as sum of the square of deviations of all the data points from the mean

i.e. if x1,x2,...xn are n observations, then

\dfrac{(x1-mean)^2+(x2-mean)^2+...(xn-mean)^2}{n}  is the variance

since variance is zero means that each of (xi-mean)^2 is zero

i.e. xi=mean for each i=1,2,...n

Hence here each of the observation is equal to mean=40

Hence, the value of the smallest observation in the set is:

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ANSWERED AT 28/03/2020 - 12:39 PM


QUESTION POSTED AT 28/03/2020 - 12:39 PM

True or False? The sum of the differences must be zero for any distribution consisting of n observations.

Answer:

it's right, it's true

Step-by-step explanation:

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QUESTION POSTED AT 28/03/2020 - 12:37 PM

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QUESTION POSTED AT 28/03/2020 - 12:29 PM

Krypton-91 is a radioactive substance that decays very quickly. The function Q(t)=Qoe^-kt models radioactive decay of krypton-91. Q represents the quantity remaining after t seconds and the decay constant k is approximately 0.07. How long will it take a quantity of krypton-91 to decay t o10% of its origional amount? round your answer to the nearest second.

Answer:

32.894 seconds ≈ 33 seconds

Step-by-step explanation:

Function : Q(t)=Q_0 e^{-kt}

The function models radioactive decay of krypton-91.

The decay constant k is approximately 0.07.

Q_0 denotes initial amount .

We are require to find How long will it take a quantity of krypton-91 to decay to 10% of its original amount

\Rightarrow 10\%\times Q_0

\Rightarrow 0.10\times Q_0

So, we neet to find t at which Q(t)=0.10 Q_0

0.10 Q_0=Q_0 e^{-0.07t}

0.10 =e^{-0.07t}

Taking log both sides

\log0.10 =-0.07t \log e

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ANSWERED AT 28/03/2020 - 12:28 PM


QUESTION POSTED AT 28/03/2020 - 12:28 PM

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QUESTION POSTED AT 28/03/2020 - 12:17 PM

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QUESTION POSTED AT 28/03/2020 - 12:16 PM

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? A. 120 feet B. 17 feet C. 23 feet D. 289 feet

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Step-by-step explanation:

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So by Pythagoras theorem of right triangles,

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ANSWERED AT 28/03/2020 - 12:10 PM


QUESTION POSTED AT 28/03/2020 - 12:10 PM

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ANSWERED AT 28/03/2020 - 11:53 AM


QUESTION POSTED AT 28/03/2020 - 11:53 AM

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Step-by-step explanation:

Let h denotes the height of tree

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ANSWERED AT 28/03/2020 - 11:52 AM


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QUESTION POSTED AT 28/03/2020 - 11:49 AM

Circle A has a radius of 6 cm and arcs RC, CS, and SM are congruent. What is the length of arc RC? 30 60 120 180

Given that the 3 arcs are congruent, it means they have the same angle.
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Answer:

O is the answer.

Step-by-step explanation: The initial value starts at 0 because the pool is empty.


ANSWERED AT 28/03/2020 - 11:33 AM


QUESTION POSTED AT 28/03/2020 - 11:33 AM