Which of the following is an advantage to refinancing?

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

3 years ago

PLEASE ANSWER FAST!! Find the 29th term of this sequence:-121,-108,-95,-82...

Julli [10]

Answer:

The 29th term is

Step-by-step explanation:

The above sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

U(n) = a + ( n - 1)d

where n is the number of terms

a is the first term

d is the common difference

From the question

a = - 121

d = -108 -- 121 = - 108 + 121 = 13

Since we are finding the 29th term

n = 29

The 29th term of the sequence is

U(29) = - 121 + ( 29 - 1) 13

= -121 + 28(13)

= -121 + 364

The final answer is

Hope this helps you

4 0

4 years ago

Find a cubic polynomial whose zeros are 1/2,1 and -3.

Alexxx [7]

Answer:

2x³+3x²-8x+3

Step-by-step explanation:

So we know x=½,x=1 and x=-3

Then (2x-1)(x-1)(x+3) are the factors

(2x-1)[(x²+3x-x-3)]

(2x-1)[(x²+2x-3)]

2x³+4x²-6x-x²-2x+3

2x³+3x²-8x+3

5 0

2 years ago

In the right triangle shown m

GREYUIT [131]

I needa see it tho for I could help

8 0

3 years ago

Read 2 more answers

PLS HELPPPP ITS PROB EASY BUT I HAVE SO MANY LATE WORK TO DO:)))

kumpel [21]

Answer:

It’s C

Step-by-step explanation:

4 0

3 years ago