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3 years ago

I’m the 30-60-90 triangle below side S has a length of _ and the hypotenuse has a length of .

Mathematics

2 answers:

scZoUnD [109]3 years ago

4 0

Check the picture below.

kobusy [5.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

Given is a right triangle with one leg opposite 30 degrees equal to 1.

Hypotenuse is given as h

Using sin 30 we can find h

Sin 30 = opposite side/hypotenuse

= $\frac{1}{2} =\frac{1}{h}$

Solving

$h=2$

Side S is the angle opposite 60 degrees

We can find S with sin 60

$sin 60=\frac{S}{2} =\frac{\sqrt{3}}{2} \\S=\sqrt{3}$

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

M divided by 6 = 21 so what does m equal

loris [4]

Answer:

Step-by-step explanation:

M equals 3.5

6 0

2 years ago

Rob has -180 points in a game. He gains one-fourth of his points back on his next turn and gains back an additional one-fifth of

Leya [2.2K]

Answer:not sure sorry

Step-by-step explanation: I need points

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2 years ago

Find the distance between each pair of points

algol [13]

Answer

$\sqrt{34}$

Step-by-step explanation

You would use the pythagorean theorem for this problem. The point on the y-axis is 5 away from (0,0). The point on the x-axis is 3 away. You would square these, leading from

5+3 to

25+9= $\sqrt{34}$

Answer is $\sqrt{34}$ .

7 0

2 years ago

A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after

9966 [12]

Answer:

the area after 6 years is 3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is 3,473 km^2

5 0

2 years ago

I’m the 30-60-90 triangle below side S has a length of ___ and the hypotenuse has a length of __.

I’m the 30-60-90 triangle below side S has a length of _ and the hypotenuse has a length of .