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harkovskaia [24]
3 years ago
13

Which of the following statements is true?

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0
I would say A. becuase squares can be similar by looking alike but it doesn't matter what size, big or small.
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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
Ray SU is an angle bisector of ∠RST. The measure of ∠TSU is 42°. What is the measure of ∠RSU?
Semmy [17]
The measure of RSU is 42.
3 0
3 years ago
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Wendy ordered 50 scarves for her clothing shop. She received 53 scarves. What percent of her order did Wendy receive?
oee [108]

Answer: 106%

Step-by-step explanation:

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3 years ago
Explain how your model for 3/5-1/2 is different from your model for 3/5-3/10
Neko [114]

Answer:

3/5 - 1/2 is 1/10 while 3/5 -3/10 is 3/10

Step-by-step explanation:


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3 years ago
RS = 5x, ST = 3x, and RT = 48<br><br> What is RS?
Thepotemich [5.8K]

Answer:

draw line and name it as R, S and T

then,

RS= 5x

ST=3x.... label it

now,

5x+3x=48

8x=48

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Step-by-step explanation:

RS Means is a division of Reed Business Information that provides cost information to the construction industry so contractors in the industry can provide accurate estimates and projections for their project costs.

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