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avanturin [10]
3 years ago
10

Divide a line of 1.8m into three parts in the ratio of 5:7:8​

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer:

0.45 m, 0.63 m, 0.72 m

Step-by-step explanation:

Let the three parts of the line be 5x, 7x and 8x

Therefore,

5x + 7x + 8x = 1.8

20x = 1.8

x = 1.8/20

x = 0.09

5x = 5*0.09 = 0.45 m

7x = 7*0.09 = 0.63 m

8x = 8*0.09 = 0.72 m

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andre [41]
Explanation:




AB=7
AC=9
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7+9=16


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6 0
3 years ago
Find the area of the rhombus.<br> A=<br> square units
Olin [163]
The answer should be 24 square units.

5 is the hypotenuse and the one we need is the base and the height. They gave us the height, which was 6 in total but 3 for the triangle. But we needed to find the base.

In order to do that, we need to use the Pythagorean Theorem.

a^2+b^2=c^2

3^2+b^2=5^2

9+b^2=25

Subtract 9 from both sides

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Then square root both sides.

b=4.

Now that we have the base, you can then find the area of the triangle.

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7 0
3 years ago
1) 17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23<br> Minimum :<br> Maximum:<br> Q1:<br> Q2:<br> Q3:
Lisa [10]

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

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8 9 11 14 17 23 29 30 32 32 39

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6 0
3 years ago
If we wanted to create a new 90% confidence interval from a different sample for the proportion of those with a two on one date
slava [35]

Answer: 271

Step-by-step explanation:

The formula we use to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

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p = prior estimation of the proportion

E = Margin of error.

If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2

n=0.25(\dfrac{z_{\alpha/2}}{E})^2

Given :   Margin of error : E= 0.05

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Significance level \alpha=1-0.90=0.10

Using z-value table , Two-tailed z-value for significance level of 0.10

z_{\alpha/2}=1.645

Then, the required sample size would be :

n=0.25(\dfrac{1.645}{0.05})^2

Simplify,

n=270.6025\approx271

Hence, the required minimum sample size =271

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