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laiz [17]
2 years ago
7

Find the value of the trig functions indicated.

Mathematics
1 answer:
otez555 [7]2 years ago
4 0

Answer:

Step-by-step explanation:

secθ = 17/15

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
Avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados.
mezya [45]

Answer:

y = 3x

Step-by-step explanation:

sorry cant do the graph

6 0
2 years ago
A stack of 20 cards is numbered 1 through 20. One card is selected at random. What is the probability that the card is less than
kvasek [131]

Answer:

40%

Step-by-step explanation:

5 0
3 years ago
Identify the solution to the system of equations <br> 4x-y=7<br> -12x+3y=-21
Elza [17]

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

5 0
2 years ago
An animal shelter has 36 pets available for adoption. ¼ of them are puppies. How many are puppies?
icang [17]

Answer:

9.

Step-by-step explanation:

36 * 1/4

= 36/4

=9.

8 0
3 years ago
Read 2 more answers
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