You want to make 3 pairs of earrings that are in the shape of isosceles triangles. each earring will have a base of 2 cm. the wire to make the earrings is 50 cm long. if you want to maximize the use of the wire, which of the following would represent the length of each of the other two sides?

The length of each of the other two sides would be  3.1 cm

Step-by-step explanation:

The options of the question are

A. 3.1 cm

B. 3.2 cm

C. 4.2 cm

D. 6.1 cm

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

x -----> the length of each of the two equal sides in the isosceles triangle

The perimeter of one isosceles triangle is equal to

Remember that

To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm

so

Solve for x

therefore

The length of each of the other two sides would be  3.1 cm

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places