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3 years ago

A square patio has an area of 200 square feet. How long is each side of patio to the nearest 0.05?

1 answer:

4 0

The area of the square is expressed in the formula A = s^2 where is the length of the square. A square has four equal lengths. In this case, we are given with an area of 200 feet. The side then is the square root of 200 equal to 14.14 feet.

so 14.14 feet

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inch

enyata [817]

First to find the median we need to put the numbers in order from least to greatest.

62, 64, 65, 66, 67, 69, 83

Now take a number from each side

64, 65, 66, 67, 69

Once again.

65, 66, 67

On last time

So the median is 66.

Now to find the mean we must add all the numbers up

64+67+83+65+66+62+69

which equals 476

Now divide 476 by the total number of heights which is 7

476/7=68

So the mean is 68

Answers: Mean; 68 Median; 66

3 0

3 years ago

Read 2 more answers

Can some one plz help fast F=-m+B/q^3

Pani-rosa [81]

whaaaa

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sorreee

5 0

2 years ago

What is 3.8 repeating as a fraction in simplest form

Olin [163]

$\bf 3.8888888\overline{8}\\\\
-------------------------------\\\\
x=3.8888888\overline{8}\qquad thus\qquad 
\begin{array}{llcll}
10x&=&38.888888\overline{8}\\
&&\downarrow \\
&&35+3.8888888\overline{8}\\
&&\downarrow \\
&&35+x
\end{array}
\\\\\\
10x=35+x\implies 9x=35\implies x=\cfrac{35}{9}$

the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.

6 0

3 years ago

The diameter of a circle is 2 centimeters. What is the circle's circumference?

leonid [27]

C=6.28cm
because C=2pi•r
so in this case C=2•3.14•1
which is C=2•3.14
and that leads to C=6.28cm

hope this helped

4 0

3 years ago