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love history [14]
3 years ago
11

Find the exact length of the third side.

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0

Answer:

The third side is sqrt(5)

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

We know the legs are 1 and 2 and we are looking for the hypotenuse.

1^2+2^2 = c^2

1+4 = c^2

5 =c^2

Take the square root of each side

sqrt(5) = sqrt(c^2)

sqrt(5) =c

The third side is sqrt(5)

adell [148]3 years ago
6 0

Answer:

\sqrt{5} or 2.236

Step-by-step explanation:

The pythagorem theorm states that side 1^2 + side^2 = hypotenuse^2

2^2 + 1^2 = h^2

4+1 = h^2

5 = h^2

\sqrt{5} = \sqrt{h^{2} }

\sqrt{5} =h

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Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

Hope this helps you

3 0
3 years ago
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Good afternoon and god bless guys!! Does anyone knows the answer to this?
Nastasia [14]

Answer:

no

Step-by-step explanation:

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3 years ago
The cost of a daily newspaper varies from city to city. however, the variation among prices remains steady with a standard devia
Tanya [424]

First, we establish our hypothesis:

<span>Null hypothesis H0: μ = $1.00  </span>

Alternative hypothesis Ha: μ ≠ $1.00

<span>Let’s say X  = the sample average cost of a daily newspaper = 0.96</span>

u = population mean cost = 1.00

S = sample standard deviation = 0.18

Calculating for z value:

z = (X – u) / S

z = (0.96 – 1) / 0.18

z = – 0.222

From the standard distribution table at this z value, p-value = 0.4129

Since alpha = 0.01, the decision therefore is:

<span>Do not reject the null hypothesis because the p-value is greater than 0.01. There is enough evidence to support the claim that the mean cost of newspapers is $1. </span>

6 0
3 years ago
Corey gets paid $6 per hour to work at a snack stand. This weekend , he worked on both Saturday and Sunday. he made total of $48
Dahasolnce [82]

Answer:

5 hours

Step-by-step explanation:

1. Find out how many dollars he earned on Saturday

3 x 6 = 18

He earned 18 dollars on Saturday.

2. Subtract 18 from 48 since that is from Saturday, not Sunday

48 - 18 = 30

3. Divide 30 by 6 to see how many hours he worked on Sunday

30/6 = 5

6 0
3 years ago
Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =
EastWind [94]
For x\neq a, we have

\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a

So for g(x) to be continuous at x=a, we require that the limit as x\to a is equal to 4.

\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2
4 0
4 years ago
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