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3 years ago

Find the missing sides for angle ABC below. AND the solve for the area of angle ABC

Mathematics

1 answer:

Vinvika [58]3 years ago

6 0

There is a 45,45,90 triangle and a 30,60,90 triangle within triangle ABC.

So you can just use the relationships between sides in these special triangles to find the desired lengths.

AB=3√2

z=3

b=3 (It is isosceles so we know that b=z)

With b=3, we know that...

x=3·2=6

y=3√3

answers: z=3,b=3,x=6,y=3√3

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Martha spent $38.45 on a new shirt and now has $17.71 in her pocket.

Lelechka [254]

Answer:

x + 17.71= 38.45

Step-by-step explanation:

8 0

2 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

2 years ago

Suspose the correlation coefficient between a baby weight and the price of a computer is 0.87

timofeeve [1]

Answer:

As the baby gains weight, computer prices tend to increase.

Step-by-step explanation:

3 0

2 years ago

Which is equivalent to 3/8'? 2 OV ml O 8 3 22

Katarina [22]

Answer:

$\huge{ \sqrt[3]{ {8}}^{x} = \boxed{ {8}^{ \frac{x}{3} } }✓}$

<h3><u>3</u><u>.</u><u> </u><u>8^(x/3)</u> is the right answer.</h3>

6 0

2 years ago

Please help!

iogann1982 [59]

Answer: 54%

Step-by-step explanation:

In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.

A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.

P(S) = 30%, and P(T) = 24%

P(S or T) = P(S) or P(T) = 30% + 24%

= 54%

4 0

2 years ago