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Lapatulllka [165]
3 years ago
7

Put these fractions and decimals in least to greatest 8 1/9,8.117,8.28,163/20

Mathematics
1 answer:
suter [353]3 years ago
8 0
Turn them all into decimals so you can clearly see the difference between them

8 1/9 = 8.11
8.117
8.28
163/20 = 8.15

8 1/9, 8.117, 163/20, 8.28 is your answer
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Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
AnnZ [28]

Answer:

MK\approx 87.7

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for MK:

\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}

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3 years ago
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In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find BC if AD = 8 cm and DH = 4 cm.
alina1380 [7]
Check the picture below.

notice that the triangle ADH, since the segment AL is an angle bisector, meaning  it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.

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Solve the quadratic equation x2=25/36.<br><br><br>What are the solutions of the equation x2=25/36?
Alinara [238K]

Answer:

x is equal to positive 5/6 and negative 5/6

Step-by-step explanation:

To solve this, you simply need to take the square root of both sides:

x^2 = \frac{25}{36}\\\sqrt{x^2} = \sqrt{\frac{25}{36}}\\x = \pm \frac{5}{6}

7 0
3 years ago
Standard deviation measures _____ risk while beta measures _____ risk.
Stolb23 [73]

Answer:

Standard deviation measures Total risk while beta measures Systematic risk.

Step-by-step explanation:

The total risk is the total variability of the portfolio and includes the systematic risk and the unique risk.

The systematic risk is measured by the beta coefficient and it considers the no diversified risk such as changes in the global market. Unique risks are the ones that result from factors specifically related to the company.

3 0
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Circle C with center at (−4, 6) and radius 2 is similar to circle D with center at (6, −2) and radius 4. Below is an incorrect i
BlackZzzverrR [31]

We are told that circle C has center (-4, 6) and a radius of 2.

We are told that circle D has center (6, -2) and a radius of 4.


If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.

Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

\frac{1}{2} = \frac{radius--circle C}{radius--circle D}

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.

Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.


Thus, the argument is correct and the last choice is best.

3 0
4 years ago
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