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3 years ago

Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet

Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

a) Plots are similar
b) x= 5577 feet

Step-by-step explanation:

<em>Refer to attached</em>

<h3>Question</h3>

a) Are the plots of land similar?
b) Find to the exact value of x and rounded to the nearest tenth?

<h3>Solution</h3>

The small triangle have missing angle of 180° - (52° + 58°) = 70°

This is indicating both triangles have same 3 angle measures.

Since all angles are same, the triangles are similar.

<u>Corresponding sides, against corresponding angles are:</u>

6180 and 8240
x and 7436

<u>As per property of similarity, the ratio of corresponding sides is same</u>

6180/8240 = x/7436
x = 6180*7436/8240
x = 5577 feet

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Divide .05 by 4 and round to the nearest tenth

taurus [48]

Answer:

0.1

Step-by-step explanation:

0.5/4 = 0.125

0.125 Rounded to the nearest tenth, is 0.1

Therefore, the correct answer is 0.1

I hope this helps!

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2 years ago

Using the drawing, what is the vertex of angle 4? A. B B. C C. A D. D

fomenos

You cannot answer this question without a picture.

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2 years ago

Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each

ioda

Answer:

Pedro got 1520 base hits and Ricky got 1243.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of base hits that Pedro got.

y is the number of base hits that Ricky got.

Pedro and Ricky got 2673 base hits last season.

This means that $x + y = 2763$

Pedro had 277 more hits than Ricky.

This means that $x = y + 277$

Replacing in the first equation

$x + y = 2763$

$y + 277 + y = 2763$

$2y = 2486$

$y = \frac{2486}{2}$

$y = 1243$

$x = y + 277 = 1243 + 277 = 1520$

Pedro got 1520 base hits and Ricky got 1243.

4 0

3 years ago

FUN QUESTIONS OF MATHETICS FOR BOREDISH PEOPLE:<br> 3x3?<br> 4x5?<br> 8x9?<br> 7x3?

PIT_PIT [208]

Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!

Step-by-step explanation:

5 0

2 years ago

I WILL GIVE U A CROWN.......

steposvetlana [31]

<h3>Answer: Likely it's choice D) </h3>

See below for the explanation why

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

down payment = 22% of home value

down payment = 22% of $426,000

down payment = 0.22*426,000

down payment = 93,720 dollars

The remaining amount mortgaged (i.e. loaned out) is

home value - (down payment) = 426,000 - 93,720 = 332,280

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

The monthly payment formula is

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

where,

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

In this case,

L = 332,280 dollars
i = 0.0525/12 = 0.004375 which is exact without any rounding
n = 20*12 = 240 months (equivalent to 20 years)

Plugging those three values into the formula mentioned gets us the following:

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

P = (332,280*0.004375)/(1 - (1+0.004375)^(-240))

P = 2,239.0493959316

P = 2,239.05

Multiply this monthly payment by the 240 months mentioned.

2,239.05*240 = 537,372

This is the total amount paid back (principal + interest)

Add on the down payment to find out how much money total is handed over: 537,372 + 93,720 = 631,092

Unfortunately $631,092 is not listed as one of the answer choices. The closest would be D) $631,057

I'm not sure if I made a rounding error somewhere, or perhaps your teacher is using an amortization table. It's also possible your teacher made a typo somewhere. I'd ask them for clarification.

5 0

1 year ago