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maxonik [38]
2 years ago
8

Which term describes alliance line segment that connects a vertex of a triangle to a point on the line containing the opposite s

ide so that the line segment is perpendicular to that line?
Mathematics
1 answer:
uranmaximum [27]2 years ago
3 0

Answer:

Altitude

Step-by-step explanation:

An altitude of a triangle always extends from a vertex to the opposite base (side) of the triangle, and it is always at a right angle. It is also known as the "height".

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So five times five is twenty five. Then do three times fifteen which is forty five. 25+45=70
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The ratio of teachers to students in a school is 1:18.
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if there are 360 students, the number of teacher will be 6,480...

360:6,480

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True or False: Similar and congruent mean the same thing.
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true

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Line segment 19 units long running from (x,0) ti (0, y) show the area of the triangle enclosed by the segment is largest when x=
Debora [2.8K]
The area of the triangle is

A = (xy)/2

Also,

sqrt(x^2 + y^2) = 19

We solve this for y.

x^2 + y^2 = 361

y^2 = 361 - x^2

y = sqrt(361 - x^2)

Now we substitute this expression for y in the area equation.

A = (1/2)(x)(sqrt(361 - x^2))

A = (1/2)(x)(361 - x^2)^(1/2)

We take the derivative of A with respect to x.

dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]

dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]

Now we set the derivative equal to zero.

(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0

-2x^2 + 361 = 0

-2x^2 = -361

2x^2 = 361

x^2 = 361/2

x = 19/sqrt(2)

x^2 + y^2 = 361

(19/sqrt(2))^2 + y^2 = 361

361/2 + y^2 = 361

y^2 = 361/2

y = 19/sqrt(2)

We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
3 0
3 years ago
Does anyone know the answer to this one?
AlladinOne [14]

Answer:

10.5cm^3

Step-by-step explanation:

Volume =l×b×h

3×7/4×2

3×1.75×2

10.5cm^3

hope it helps :)

plz mark as brainliest

3 0
2 years ago
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