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Gnesinka [82]
3 years ago
10

What Is The Length Of RT?

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

B

Step-by-step explanation:

AS is an angle bisector, thus the ratio of the sides of the triangle is equal to the ratio of the corresponding parts of RT, that is

\frac{SR}{ST} = \frac{RA}{TA}, substituting values

\frac{7.5}{9} = \frac{3.5}{x} ( cross- multiply )

7.5x = 31.5 ( divide both sides by 7.5 )

x = 4.2

Thus

RT = 3.5 + x = 3.5 + 4.2 = 7.7 → B

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You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
gayaneshka [121]
<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

=====================================================

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

-----------------

The monthly payment formula is

P = (L*i)/( 1-(1+i)^(-n) )

where,

  • P = monthly payment
  • L = amount loaned
  • i = interest rate per month in decimal form
  • n = number of months

In this case,

  • L = 585,000 dollars
  • i = 0.0525/12 = 0.004375 exactly
  • n = 15*12 = 180 months (equivalent to 15 years)

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (585000*0.004375)/( 1-(1+0.004375)^(-180) )

P = 4702.6846353538

P = 4702.68

The monthly payment is $4,702.68

-----------------

Let's now compute the total amount paid back (principal + interest)

If you pay 4,702.68 dollars per month over the course of 180 months, then you pay back a total of 4702.68*180 = 846,482.40

The total payments add up to 846,482.40 dollars.

-----------------

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

8 0
1 year ago
What is the measure of ∠S ?
jeka94

Alright, lets get started.

We could use sine law to find the remaining angle.

\frac{sinA}{a} =  \frac{sinB}{b}

\frac{sinS}{63.6}  = \frac{sin64}{69.8}

Plugging the value of sin 64

\frac{sinS}{63.6} =  \frac{0.8987}{69.8}

\frac{sinS}{63.6} = 0.01287

Cross multiplying

sin S = 0.8189

Taking inverse on both side

S = sin^{-1}(0.8189)

S = 55° : Answer

Hope it will help :)



4 0
3 years ago
Read 2 more answers
Please help me with this math problem!! Will give brainliest!! :)
8090 [49]

Answer:

A. 17

B. 16

Step-by-step explanation:

F(5)

5 > 2 so you plug the 5 into 3x+2

F(-2)

-5 < -2 < 2 so you plug the -2 into (x-2)^2

7 0
1 year ago
What happens to a rectangular prism when the length and width are both doubled and the height is trippled
torisob [31]
If you double the width you make a similar  prism with a scale factor of two, the surface area of the similar prism will increase as the square of the scale factor
3 0
3 years ago
Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 14 inches. Use the image
ANTONII [103]
To find the area of the triangle, you use the formula A=bh/2. This gives you the area of 49in^2 for the triangle, eliminating choices C and D. The area of the entire square is 14^2, or 196in^2, which gives us 4 when divided by the area of the triangle, 49in^2. Therefore, the answer is B, or that the area of the triangle is 49in^2 so she can create only 4 triangles.
3 0
3 years ago
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