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True [87]
4 years ago
5

Please help me! I need it

Mathematics
1 answer:
Studentka2010 [4]4 years ago
3 0

Answer:

About 0.5

Step-by-step explanation:

By the law of sines:

\dfrac{2}{\sin 105}=\dfrac{c}{\sin 15} \\\\\\c=\dfrac{2}{\sin 105}\cdot \sin 15\approx 0.5cm

Hope this helps!

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Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be?
elena55 [62]

Answer:

The answer to the question is

Her monthly payments will be $279.98

Step-by-step explanation:

To solve the question we apply the equation for  monthly payments as follows

Fixed monthly mortgage repayment formula is

A = P*r*\frac{r(1+r)^n}{(1+r)^n -1}

Where

A = Payment amount per month

r = interest rate = 4.25 %

n = number of months = 20×12 months or 240 months

P = Mortgage value = $155,000

Therefore A = (0.0425)(155000)\frac{0.0425(1+0.0425)^{240}}{(1+0.0425)^{240} -1} = $279.98

For balloon mortgage the loan balance is paid off or refinanced at the end of the loan term

4 0
3 years ago
Jorge is scheduled to work 36 hours this week. He has already worked 27.25 hours. How much more hours does gorge have to work th
lesantik [10]

Answer:

Step-by-step explanation:

Beth earns $54 per day and $10 for each extra hour she works. Ray earns $60 per day and $8 for each extra hour he puts in. They both work five days a week. The equations show their weekly earnings with respect to how many extra hours they work.

Beth: y = 270 + 10x

Ray: y = 300 + 8x

This system is graphed below.

6 0
3 years ago
The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
Alex73 [517]

Answer:

60 inches²

Step-by-step explanation:

Unit test

5 0
3 years ago
I'm stuck what is 15% of 32
Len [333]
In math, 'of' means 'multiplied by,' so 15% of 32 translates to '15% * 32.'
Now solve the equation:
x = 15% * 32
x = .15 * 32
x = 4.8
6 0
3 years ago
An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle
omeli [17]

Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i

The length of the height is the distance between the points 5+9i and 7+3i

\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}

So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

4 0
3 years ago
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