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Volgvan
2 years ago
13

PYTHAGOREAN THEOREM

Mathematics
2 answers:
Sav [38]2 years ago
7 0

Answer:

the answer is 29

Step-by-step explanation:

a^2 + b^2 = c^2 (btw ^ means to the power)

a and b are the legs. c is the hypotenuse

21^2 + 20^2 = c^2

441 + 400 = 481

then we have to square it.

the square root of 481= 29.

btw the hypotenuse is always going to be bigger than the legs.

hope it helps!! btw it is right!

nataly862011 [7]2 years ago
6 0
The answer/length is 29
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Find the length of the diagonal of a square with perimeter 32.
snow_lady [41]

Answer:

i think A. because she is 4/2

7 0
2 years ago
What is the quotient of 3.12 x 108 and 2.6 x 105 expressed in scientific notation?​
Gnoma [55]

Answer:

1.2 * 10^3

Step-by-step explanation:

3.12 * 10^8

=========

2.6 * 10^5

Start by doing 3.12 / 1.6 = 1.2 and that is the correct number of sig digs.

Now get the power on the 10. When dividing, the powers subtract.

10^(8 - 5)

10^ 3

The answer is 1.2 * 10^3

7 0
3 years ago
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind
liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )

Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}

Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67

Sa= 1.64

t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017

(9-8)±2.017*(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )

[0.007636;1.9923]

I hope it helps!

6 0
2 years ago
What is 1024 1/5 simplified?
frutty [35]
\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\
1024\frac{1}{5}\qquad 
\begin{cases}
1024=2^{10}\\
\frac{1}{5}=5^{-1}
\end{cases}\implies 2^{10}5^{-1}
6 0
2 years ago
What is the following product? sqr root 10 x sqr root 10
DENIUS [597]

Answer:

10

Step-by-step explanation:

Note that \sqrt{a} × \sqrt{a} = a

Consider the following example

\sqrt{100} × \sqrt{100}

= 10 × 10

= 100 ← the value inside the radical, thus

\sqrt{10} × \sqrt{10} = 10

6 0
3 years ago
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