All categories

3 years ago

Which length could represent the side length of a right triangle?

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

Step-by-step explanation:

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side squared = ( $\sqrt{74}$ )² = 74

5² + 7² = 25 + 49 = 74

Thus these sides represent a right triangle

longest side squared = ( $\sqrt{106}$ )² = 106

7² + 8² = 49 + 64 = 113

These sides do not represent a right triangle

III

longest side squared = ( $\sqrt{133}$ )² = 133

6² + 10² = 36 + 100 = 136

These sides do not represent a right triangle

The only valid sides are I → A

You might be interested in

Order 1.62, 16.2%, 15/20 from greatest to least

N76 [4]

1.62, 15/20, 16.2% is the answer

3 0

3 years ago

Read 2 more answers

The probability that a car has a certain factory defect is 825. The probability that a car has a certain factory defect and need

ipn [44]

Answer:

90.91% probability that a car needs an oil change given that it has a certain factory defect

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: having a factory defect.

Event B: needing an oil change.

The probability that a car has a certain factory defect is 825.

So $P(A) = 0.825$

The probability that a car has a certain factory defect and needs an oil change is 750.

So $P(A \cap B) = 0.75$

What is the probability that a car needs an oil change given that it has a certain factory defect

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.75}{0.825} = 0.9091$

90.91% probability that a car needs an oil change given that it has a certain factory defect

5 0

4 years ago

BRAINLIESTTT ASAP!!! PLEASE HELP ME :)

tankabanditka [31]

Answer:

$\sqrt{x}$

Step-by-step explanation:

$\frac{1}{x^{(-\frac{3}{6} )} } \\$

Using the properties of negative exponents, rewrite your expression:

$=x^{\frac{3}{6} }$

Simplify the exponent:

$x^{\frac{1}{2} }$

Rewrite into radical form (can be expressed as $n^{\frac{a}{b} } = \sqrt[b]{n^{a} }$ ):

$\sqrt{x}$

5 0

3 years ago

Find the values of x and y.

densk [106]

Answer:

x = 20 (degrees)

y = 70 (degrees)

Step-by-step explanation:

The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°

To find y, subtract 90° and x from 180°

y = 180° - 90° - 20°

y = 70°

8 0

3 years ago

Read 2 more answers

Write the four steps for using the linear combination method to solve a system of equations.

krok68 [10]

Answer:

Step-by-step explanation:

The four steps of linear combination method are

1) Rearrange like terms such that they are in the same column.

2) The next step is to decide on which variable you want to eliminate and multiply each row with suitable numbers that would make the coefficient of the variable to be equal and opposite.

3) Add both rows and solve for the other unknown variable.

4) substitute the known variable into any of the equations and solve for the other variable.

4x + 2y = 5

−4x − 5y = 7

We would eliminate x by adding both equations. It becomes

- 3y = 12

y = 12/- 3 = - 4

Substituting y = - 4 into the first equation, it becomes

4x + 2 × - 4 = 5

4x - 8 = 5

4x = 5 + 8 = 13

x = 13/4 = 3.25

7 0

3 years ago