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Blababa [14]
3 years ago
14

Find the missing side lengths leave your answers as radicals In simplest form.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

These are right triangles so we can use Pythagorean theorem to solve this.

the  Pythagorean theorem states that the hypotenuse of a right triangle, squared, is equal to the sum of the other 2 sides of the triangle, squared.

It can be expressed as so:

c^2=a^2+b^2 where c is the hypotenuse and a, b are the other 2 sides.

Therefore in number 11 6^2=x^2+y^2

36=x^2+y^2

for A, 3√3 / 2 is 2.59807621135 and y is 3. If we square both then they should equal 36 although if they don't then this answer is incorrect.

By doing this process for each answer you will see that

In D we finally see that the square root of 3 is 1.73205080757 and that number times 3 is 5.19615242271. y is 3 and 5.19615242271 squared comes out to 27 and 3 squared comes out to 9

27+9 = 36. Therefore by using the Pythagorean theorem, we found that D is correct

Because this involves a lot of typing and its 5:37 Am where i live ima let u do the next one alone but if u need help just follow my demonstration

Step-by-step explanation:

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A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs reveale
djyliett [7]

Answer and Step-by-step explanation:

a) H o : there is no relation between job pressure and age

H 1: there is a relation between job pressure and age

b) See file attached.

c) Test statistic: For the given categorical data, we apply the x² — test Test statistic is 2.19

d) The test statistic value x² = 2.19 < 16.81, we accept the null hypothesis. Therefore, we conclude that there is no relationship between job pressure and age.

Download txt
6 0
3 years ago
A portfolio has a E[r] of 12% and a std deviation of 18%. T-Bills return 7%. What is the maximum level of risk aversion (A) for
solniwko [45]
<h2>The required "option D) 3.09" is correct.</h2>

Step-by-step explanation:

Given,

A portfolio has a E[r] = 12 %, and

A standard deviation (\sigma) = 18 %

We know that,

Specify utility by U = E(r) – 0.5A\sigma^2

U = 0.12– 0.5(A) × 0.18^2

= 0.12 - 0.5  ×  A × 0.0162

In order for the risky portfolio to be preferred to bills,

The following condition must have:

0.12 – 0.0162A > 0.07

⇒ A < \dfrac{0.05}{0.0162} = 3.09

A must be less than 3.09 for the risky portfolio to be preferred to bills.

Thus, the required "option D) 3.09" is correct.

8 0
4 years ago
Byron placed bricks in a row to make a border that was 16.9 feet long. Each brick is 1.3 feet long.
Marina86 [1]
16.9/1.3

= 13 bricks (A)

Hope this helps!
4 0
3 years ago
Read 2 more answers
A smaller square is within a larger square as shown below. A point is chosen at random in the larger square. What percent of the
Bas_tet [7]

Answer: 84.5%

Step-by-step explanation:

15.2 × 15.2 = 231.04 cm² (area of the entire large square)

5.98 × 5.98 = 35.76 cm² (area of the small square)

large square - small square = area of the blue region

231.04 - 35.76 = 195.28 cm² (area of the blue region)

\frac{area of the blue region}{large square} = percentage of time that the point will be in the blue region

\frac{195.28}{231.04} = 0.845 --> 84.5%

4 0
3 years ago
Round 2.8125 to the nearest hundred please help
ZanzabumX [31]

Answer:

2.81

Step-by-step explanation:

3 0
3 years ago
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