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3 years ago

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Emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. How much does Emelia's job pay in a day when she w

orks 5 1/2 hours? Write an expression and evaluate for 5 1/2 hours.

1 answer:

Brums [2.3K]3 years ago

8 0

Answer:

$51.63

Step-by-step explanation:

Look at the image for an explanation.

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A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

Christy has 2 hours to do 30 math problems. After an hour and 52 minutes, she had 2 problems left. How much time did she spend o

Yuki888 [10]

Answer:4 min

Step-by-step explanation: 2 hours divided by 30 equals 4 so if there are two left and 8 min left 8/2 equals four per question

4 0

3 years ago

4+ 10(5-3) + 4 +62 is what <br> 18<br> 42<br> 21<br> 45

LenaWriter [7]

Answer:

18

Step-by-step explanation:

i k

Just todo the test so its tje ansiedad

4 0

2 years ago

What is the value of tan theta in the unit circle below? A.1/2 B.sqrt3/3. C.sqrt3/2. D.sqrt3

AleksAgata [21]

if you don't have a Unit Circle, this is a good time to get one, you can find many online.

Check the picture below.

7 0

3 years ago

Read 2 more answers

determine whether the square of the following numbers are odd or even. i) 2826 ii)7779 iii)30018 iv)8204

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

The square of an even number is an even .

The square of an odd number is an odd.

2826-even

7779-odd

30018-even

8204-even

8 0

3 years ago