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Murrr4er [49]
3 years ago
11

How do you work this out?

Mathematics
1 answer:
Katarina [22]3 years ago
5 0
Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE.  If we can do that, then the sum of the lengths of CD and DE represents the unknown:  the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1.  Show that BC=AD and find the length.
2.  Note that angle CAD is 60 degrees.  Why?
3.  Note that angle EAD is 30 degrees.  Why?
4.  Find the length of ED
5.  Add ED and DC, that is, ED + 12 cm.  This is your answer.

Please ask questions if need be.
You might be interested in
The ratio of men to women working for a company is 5 to 7. If there are 126 women working for the company, what is the total num
SIZIF [17.4K]

Answer:

There are 216 employees

Step-by-step explanation:

First you divide 126 by 7 (number of women) and you get 18 then you times that by 5 (total number of men) and you get 90 finally you add 90 (men) and 126 (women) to get 216 employees in total.

8 0
3 years ago
Please help me with the top one please
likoan [24]

Answer:

Ramiro is correct.

You cannot identify congruent triangles with only angles Angle-Angle-Angle is not one of the rules of congruence. They could have different sizes with the same angles which doesn't makes them congruent. They are similar though. Once you find the missing angles with the equations 62+39+C=180 and 39+79+X=180 the corresponding angles are congruent. So the triangles are not congruent, but are similar.

5 0
3 years ago
At Pike Place Fish Market in Seattle, customers can purchase a variety of different types of seafood. One type of seafood sold a
allsm [11]

Answer:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(3.6,0.8)  

Where \mu=3.6 and \sigma=0.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.1   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

8 0
3 years ago
(2+1/2) (2^2-1+1/4) find the expression in the form of cubes and differences of two terms.​
Elden [556K]

Answer:

<u>Consider the following identity:</u>

  • a³ - b³ = (a + b)(a² - ab + b²)

<u>Let a = 2, b = 1/2</u>

  • (2 + 1/2)(2² - 2*1/2 + 1/2²) =
  • 2³ - (1/2)³ =
  • 8 - 1/8
8 0
3 years ago
Read 2 more answers
The length of a rectangular garden is 5x+5
REY [17]

Answer:

4x+14

Step-by-step explanation:

we know that in a rectangle, 2 sides are equal to one another (opposite sides), and the other 2 are equal to each other.

so,

2(5x+5) for the first 2 sides. you'd get 10x+10

2(2-3x) for the other two sides. you'd get -6x+4

add them up, and you'd get 4x+14

6 0
3 years ago
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