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TEA [102]
3 years ago
7

For the following right triangle, find the side length . Round your answer to the nearest hundredth

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Step-by-step explanation:

Since we have 90° angle that means that side opposite of it is hypotenuse, so it goes:

a=10cm b=6 c=?

{a}^{2} =  {b}^{2} +  {c}^{2}

{10}^{2}  =  {6}^{2}  +  {c}^{2}  \\  \\  100 = 36 +  {c}^{2}  \\  \\  {c}^{2}  = 100 - 36 \\  \\  {c}^{2}  = 64 \\ c =  \sqrt{64}  \\ c =8

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Describe at least two similarities between constructing a perpendicular line through a point on a line and constructing a perpen
Vitek1552 [10]

The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:

  • Both methods involve making a 90-degree angle between two lines.
  • The methods determine a point equidistant from two equidistant points on the line.

<h3>What are perpendicular lines?</h3>

Perpendicular lines are defined as two lines that meet or intersect each other at right angles.

In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.

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3 0
2 years ago
What is 2,901 rounded to the nearest hundred
beks73 [17]

Answer:

2,900

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the intermediate value theorem to prove that there is a positive number c such that c2 = 2.
schepotkina [342]

So lets try to prove it,

So let's consider the function f(x) = x^2.

Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).

Using the Intermediate Value Theorem,

it would be enough to show that at some point a f(x) is less than 2 and at some point b f(x) is greater than 2. For example, let a = 0 and b = 3.

Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.

Learn more about Intermediate Value Theorem on:

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6 0
1 year ago
Ryan is installing new flooring in house. Ryan can install 196 square feet of flooring in 2 hours How much new flooring can Ryan
galina1969 [7]

Answer:

1568

Step-by-step explanation:

196/2=98

98*16=1586

Ryan can install 1568 square feet of flooring in 16 hours

Hope this helps!

3 0
3 years ago
In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st
Natasha_Volkova [10]

Answer:

P(a junior or a senior)=1

Step-by-step explanation:

The formula of the probability is given by:

P(A)=\frac{n(A)}{N}

Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.

In this case, N is the total number of the students of statistics class.

N=18+10=28

The probability of the union of two mutually exclusive events is given by:

P(AUB)=P(A)+P(B)

Therefore:

P(a junior or a senior) =P(a junior)+P(a senior)

Because a student is a junior or a senior, not both.

n(a junior)=18

n(a senior)=10

P(a junior)=18/28

P(a senior) = 10/28

P(a junior or a senior) = 18/28 + 10/28

Solving the sum of the fractions:

P(a junior or a senior) = 28/28 = 1

4 0
3 years ago
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