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Oxana [17]
3 years ago
6

Two carpenters are building a fence after 5 minutes,one carpenter is finished 4/7 of the way an the other is finished 1/8 of the

way how much ahead is the second carpenter is the first carpenter
Mathematics
1 answer:
torisob [31]3 years ago
6 0

The first carpenter is 0.4464 of the way is ahead of the second carpenter

<u>Solution:</u>

Given, Two carpenters are building a fence  

After 5 minutes, one carpenter is finished 4/7 of the way

Second carpenter finished 1/8 of the way

Now, let us find the work done by each carpenter

\begin{array}{l}{\text { For } 1^{\text {st }} \text { carpenter }=\frac{4}{7}=0.5714 \text { approximately. }} \\\\ {\text { For } 2^{\text {nd }} \text { carpenter }=\frac{1}{8}=0.125}\end{array}

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter

= 0.5714 – 0.125 = 0.4464

Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter

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 <span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians. 

Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm 

The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is: 

1/12 *[2 *pi*r]=1/12*[12*pi]=pi 

so the difference is 19pi 

for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them 

good luck</span><span>
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8 0
3 years ago
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Butoxors [25]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

4 0
2 years ago
_______ is a combination of two functions such that the output from the first function becomes the input for the second function
zmey [24]
B. Dependent function












8 0
3 years ago
Please help! This is due in less that 10 minutes! (Will mark Brainliest!)
Svetradugi [14.3K]

Answer:

<em>Answer: a = - 12</em>

Step-by-step explanation:

We have here two equations, one 18x + 12y = 36, the other ax - 8y = - 24;

Now if we were to consider making these two equations have a common y co - efficient, we would multiply the top equation by 2, the bottom consecutively by - 3. This would make a standard 24y ;

2 * ( 18x + 12y = 36 ),     ⇒       36x + 24y = 72

+ - 3 * (  ax - 8y = - 24 )            + - 3ax + 24y = 72

As you can see, all terms are equivalent, besides that of the co - efficient of x. Knowing that, it would be ax must be multiplied by - 3 to receive 36x, as the bottom equation is multiplied by - 3, where all terms are equivalent to the top terms;

- 3 * ax ⇒ 36x, - 3 * - 12x = 36x,

<em>Answer: a = - 12</em>

8 0
3 years ago
I'm sorry please help.
Katena32 [7]

Answer:

-4y=40

y=-10

x-3(-10)=17

x-30=17

x=17+30

x=47

Step-by-step explanation:

3 0
3 years ago
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