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olga nikolaevna [1]
2 years ago
5

What is the area to this??

Mathematics
2 answers:
jolli1 [7]2 years ago
6 0

Answer:

30 units squared

Step-by-step explanation:

1/2(base)(height)

base=10

height=6

1/2(10)(6) = 5*6 = 30!

user100 [1]2 years ago
6 0

Answer:

30

Step-by-step explanation:

6 * 10 =60   60/2 =30

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What is the area of the largest rectangle that can be inscribed in an isosceles triangle with side lengths $8$, $\sqrt{80}$, and
e-lub [12.9K]
First let's solve the general case for an isosceles triangle of base 2 and height k. If the triangle is drawn so the base is on the x-axis and the apex is on the y-axis, the equation for the line containing the right side is
  y = -k(x-1)
Then a rectangle with x-dimension w will have an area that is the product of this width and the height y = -k((w/2)-1).
  area = w(-k(w/2 -1)) = (-k/2)w² +kw
The derivative of area with respect to w will be zero where the area is a maximum:
  d(area)/dw = 0 = -kw +k
  w = 1 . . . . . . add kw and divide by k
Using the formula for area, we find
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This value is 1/2 the total area of the triangle we started with.

If the side lengths of your triangle are 8, √80, and √80, the height will be given by the Pythagorean theorem as
  h = √((√80)² - (1/2·8)²) = √(80-16) = 8
Your triangle's area will be
  triangle area = (1/2)(8)(8) = 32

The maximum area of the inscribed rectangle will be half this value,
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4 0
3 years ago
What are 2 binomials that are factors of this trinomial? x^2-x-20
S_A_V [24]

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2-x-20

What two terms multiply to -20 and add to -1

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(x-5) (x+4)

8 0
3 years ago
Read 2 more answers
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11111nata11111 [884]

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yulyashka [42]

Answer:

4

Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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