An isosceles triangle is to be drawn with its two equal sides of length 10. What is the maximum possible area of the triangle?
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Explanation: Since an isosceles triangle has two equal sides, if the triangle is split in half vertically, the length of the base on each side is: 12
c m ÷ 2 = 6
c m We can then use the Pythagorean theorem to find the height of the triangle. The formula for the Pythagorean theorem is: a 2 + b 2 = c 2 To solve for the height, substitute your known values into the equation and solve for a : where: a = height b = base c = hypotenuse a 2 + b 2 = c 2
a 2 = c 2 − b 2
a 2 = ( 10 ) 2 − ( 6 ) 2
a 2 = ( 100 ) − ( 36 )
a 2 = 64
a = √ 64
a = 8 Now that we have our known values, substitute the following into the formula for area of a triangle: b a s e = 12
c m
h e i g h t = 8
c m A r e a = b a s e ⋅ h e i g h t 2 A r e a = ( 12 ) ⋅ ( 8 ) 2 A r e a = 96 2 A r e a = 48 ∴ , the area is 48
c m 2 .
Write 8 1/4 as a decimal (not a percentage)
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answer- 8.25 Hope this helped
What is the monthly paycheck of an officer manager who salary is 57000 per year?
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theres 12 months a year and 52 weeks so and 4 per month
57000/12=4750
4750/4=1187.5
so 4750per month
and 1187.5per week
4750 a month if it does not include his bonuses and stuff
Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?
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Well first you would break the equation down so the equation comes to 2x^2(6x-1)+3(6x-1) and then you Factor out common terms in the first two terms and then in the last two terms. Factor out the common term 6x-1 and you get your answer (6x-1)(2x^2+3).
What is 4.12 expressed as the quotient of two integers in simplest form
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All you do is turn 4.12 into a whole, make it over 100 and simplify.
So, 4.12
= 412/100
Which simplifies to 103/25.
What is -4+ 7x = y written I. Slope-intercept form,and I have to graph it
Answers
Answer:
y = 7x - 4
Step-by-step explanation:
-4 + 7x = y and y = 7x - 4 are the same thing, there ya go.