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den301095 [7]
3 years ago
6

Find value of X. Please show steps:)

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0
10 degrees is in a 90 degree angle 
90-10 =80
use sin 
sin(80)=9/x
get x alone
x=9/sin(80)

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Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with th
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Answer:

21 weeks

Step-by-step explanation:

In this question, we are to use proportionality to find the solution to the question.

We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.

Let us make a mathematical representation for this.

Let the time be t, number of workers be w and length be l

t is directly proportional to l and inversely proportional to w

Mathematically;

t = kl/w

Where k is the constant of proportionality.

Let’s find the value of k

150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k

14 = k * 12/150

k = 150 * 14/12 = 175

Now we want to get t given w and l

from ;

t = kl/w

We can get t; where l = 15 and w = 125

t = 175 * 15/125

t = 21 weeks

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Step-by-step explanation:

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