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Alja [10]
2 years ago
9

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m². What is the length of the base? Enter you

r answer in the box.
Mathematics
1 answer:
coldgirl [10]2 years ago
4 0

The length of the base of the triangle is 12m

<h3>Area of a triangle</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5 * base * height

If the height of a triangle is 4 m less than its base, then;

h = b - 4

Substitute

A = 0.5(b)(b-4)

48 = 0.5b²-2b

b²-4b - 96 = 0

Factorise

b² - 12b + 8b - 96 = 0

b(b-12)+8()b-12) = 0
b - 12 = 0

b = 12

Hence the length of the base of the triangle is 12m

Learn more on area of triangle here: brainly.com/question/17335144

#SPJ1

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Step-by-step explanation:

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Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

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