How many meters are in a yard

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:

<u>A) Method 1</u>

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. <u>Upper triangle:</u>

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

2. <u>Lower triangle:</u>

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

<u></u>

<u>B) Method 2</u>

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. <u>Upper triangle:</u>

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. <u>Lower triangle:</u>

<u />

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

<u />

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

5 0

2 years ago

Someone help PLEASE

Iteru [2.4K]

Answer:

Step-by-step explanation:

The perfect square:

$(a+b)^2=a^2+2ab+b^2$

Q4

We have

$y^2+14y+49=0\\\\y^2+2(y)(7)+7^2=0\\\\(y+7)^2=0\iff y+7=0\qquad\text{subtract 7 from both sides}\\\\\boxed{y=-7}$

Q5

We have

$y^2+16y+64=0\\\\y^2+2(y)(8)+8^2=0\\\\(y+8)^2=0\iff y+8=0\qquad\text{subtract 8 from both sides}\\\\\boxed{y=-8}$

7 0

2 years ago

Select the correct answer.

andrew-mc [135]

The prediction for average temperature is 53.06° F

Given: The equation for line of best fit:

y = -3.32x + 97.05

What is line of best fit?

Line of best fit is the line that is drawn through the points and it minimizes the error between the actual data and the predicted data.

In a regression graph, there are many scattered points and it becomes very difficult to predict a general equal if we focus on the coordinates and relations of each points. The line of best fit, is a line that passes through the center or from a position where the error between the point and the line is the minimum and it becomes easy to predict or a derive an equation or a relation.

What is a response variable?

A response variable is a variable that is dependent on one or more independent or dependent variables for it's value. So let's say in this equation y = mx + c, y is the response variable as on the change of variable x , y will have different values that is y will response differently for different values of x. Hence y is the dependent variable.

What is predictor variable?

A predictor variable is a variable that is independent of the influence from any other variable, and a change in this variable will give different outcomes. It is called predictor because or a change in it's value we can predict an outcome.

Let's solve the question that is given:

Now y is the response variable and x is the predictor variable.

From the given graph, we see

x = inches of rain

y = average temperature

To make the prediction for x = 13.25, we place the value of x in the equation of line of best fit, that is:

y(13.25) = -3.32*13.25 + 97.05 = 53.06

Hence our prediction or the response for average temperature is 53.06° F

Know more on "line of best fit" here: brainly.com/question/14279419

#SPJ1

4 0

1 year ago

Suppose that 8,000 is placed in an account that pays 17% interest compounded each year assume that no withdraws are made from th

Zarrin [17]

Step-by-step explanation:

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bak*ywnJz8s

3 0

3 years ago

Suppose you buy 4 buckets of apples and 5 buckets of peaches for $55. If

Mila [183]

Answer:

A

$7,p-5

20 characters long. hahahhahahahah

5 0

3 years ago