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3 years ago

IMMEDIATE HELP PLS THANKS <33

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

3 0

Reflect across the y axis and moved through the translation x = 2

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Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

If the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.16

Vlad1618 [11]

The probability of drawing an ace and rolling a "2" is = 0.077 × 0.167

you just multiply and get the answer.

3 0

3 years ago

2/3r+4/3p-1/3p= please helpppp

Andru [333]

Answer:

2/3r + p

Step-by-step explanation:

2/3r + 4/3p - 1/3p

combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined

coefficient- the variable that a number is multiplied by

2/3r + 4/3p - 1/3p

combine

2/3r + 3/3p

2/3r + p

3 0

3 years ago

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable

Annette [7]

Answer:

A=discrete; B=continuous

Step-by-step explanation:

(a) The number of free dash throw attempts before the first shot is = discrete

(b) The time it takes for a light bulb to burn out.=continuous

Discrete variables are countable in a finite amount of time such as the case of free dash throw attempts

Continuous Variables are more difficult to count. In statistics, time is a Continuous Variable

3 0

2 years ago

What is the answer ms.weldon

ANTONII [103]

What is the question honey?

6 0

3 years ago