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Mashcka [7]
1 year ago
5

6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?

Mathematics
1 answer:
Nutka1998 [239]1 year ago
6 0
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
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A survey was conducted from a random sample of 8225 Americans, and one variable that was recorded for each participant was their
zysi [14]

Answer:

Step-by-step explanation:

Given that in a survey of  8225 Americans, age was recorded.

Mean was 42 while median was 37.

Hence here median < mean.

Whenever we have mean greater than median we can say that the data is skewed to the right.

If symmetrical mean, median will coincide.  If mean differs from median, then it is not symmetrical but skewed.

When mean > median, then we have this is skewed to the right.

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1 year ago
If cos Θ = square root 2 over 2 and 3 pi over 2 &lt; Θ &lt; 2π, what are the values of sin Θ and tan Θ?
KIM [24]

Answer:

The answer is

sin(\theta)=-\frac{\sqrt{2}}{2}

tan(\theta)=-1

Step-by-step explanation:

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

sin^{2}(\theta)+cos^{2}(\theta)=1

In this problem we have

cos(\theta)=\frac{\sqrt{2}}{2}

\frac{3\pi}{2}

so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

Remember

sin^{2}(\theta)+cos^{2}(\theta)=1

we have

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

sin^{2}(\theta)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

Find the value of tan(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{2}}{2}

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

tan(\theta)=-1

8 0
2 years ago
Read 2 more answers
The diagram shows a scale drawing of a playground. In the scale drawing the playground has a length of 16 cm and a width of 8 cm
kicyunya [14]

Answer:

3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm

Step-by-step explanation:

The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.

We can make a system of equations: l * w = 72, l = 2w

Substitute: 2w * w = 72

Simplify: 2 * w² = 72

Divide: w² = 36

Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)

Substitute: l = 2 * 6 m

Simplify: <em>l = 12 m</em>

This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.

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How many unit angles does the smaller angle of a tan pattern block turn through
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Is there an attachment to this? It cant be answered without a picture or a description.
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1 year ago
A=&lt;3,0,-1&gt;, find a vector b such that comp(sub a) b=2.
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5 0
1 year ago
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