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Keith_Richards [23]
3 years ago
11

Ben is 6 feet tall. He pounds a stake into the ground until only 1 foot of it is remaining out of the ground. It’s shadow is six

inches long. How long is Ben’s shadow?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer: 3 feet, or 36 inches.

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The functions r and s are defined as follows. r(x)=-x-5 s(x)= -2x-5 . Find the value of s(r(4)).
Svet_ta [14]

Answer:

s(r(4)) = 13

Step-by-step explanation:

Substitute and calculate:


s(r(4)) = 13

6 0
2 years ago
Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
What is the slope?
Lena [83]

Answer:

3/4

Step-by-step explanation:

We need two points to find the slope

( 20,20) and (60,50)

m = (y2-y1)/(x2-x1)

   = (50-20)/(60-20)

   = 30/40

   = 3/4

4 0
2 years ago
What is the next number in the pattern?
forsale [732]

Answer:

9

Step-by-step explanation:

3 3/4= 3.75.

3.75-2=1.75

1.75+5.5=7.25 or 7 1/4

7.25+1.75=9

5 0
3 years ago
Read 2 more answers
Which of the following options have the same value as 72% of 50
fenix001 [56]

Answer:

c and d are the correct answers

3 0
3 years ago
Read 2 more answers
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