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3 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle. Hypotenuse = 12 Long =

1 answer:

5 0

When using the 30° - 60° - 90° method, the side lengths will always be x and x√3 for the legs and 2x for the hypotenuse.

Because the hypotenuse is 12, the equation is:
2x = 12

And now you find x to get the length of the shortest leg.
2x = 12
x = 6

Now that we know the length of x, you just add √3 in order to find the longest leg.

Therefore, the length of the longest leg would be 6√3.

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Select the correct answer.

Damm [24]

Answer:

there are 83 percent of books

5 0

1 year ago

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

6 0

3 years ago

Can anyone answer this problem in their head. No calculator or paper.

rodikova [14]

7,393,420,225 is the answer tk the problem without using calculator.

7 0

3 years ago

If n(X)=200,x)=300 and n(XUY)=400

olga_2 [115]

Answer:

${ \boxed{ \bf{formular : { \tt{n(X{ \small{U}Y) = n(X) + n(Y) - n(X{ \small{n}Y)}}}}}}} \\ n(X{ \small{n}}Y) = (200 + 300) - 400 \\ = 500 - 400 \\ { \boxed{n(X{ \small{n}}Y) = 100}} \\ \\ { \underline{ \blue{ becker \: jnr}}}$

6 0

2 years ago

Read 2 more answers

A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL tha

loris [4]

Answer:

0.25 Hope this helps :)

Step-by-step explanation:

You add the 5 red and 3 green

8 Mables besides blue

so that's 2/8

simplified 1/4

1/4=0.25

8 0

2 years ago