Suppose that each quater at a

Now write 12% as a fraction in simplest

zvonat [6]

Answer:

12/100

Step-by-step explanation:

Percent is basically per 100 so 12/100

Simplest is 3/25

8 0

3 years ago

Read 2 more answers

You have a summer job that pays you $5.60 an hour you get $8.40 an hour for overtime how many hours of overtime must you work to

Shtirlitz [24]

The following given problem can be expressed in the form of:

E = 5.60 * T1 + 8.40 * T2

where,

E = total earning

T1 = normal hours worked

T2 = overtime hours

Assuming that the maximum T1 hours is 40 hours. Beyond that is considered overtime, therefore:

287 = 5.60 * 40 + 8.40 * T2

T2 = 7.5 hours

Therefore 7.50 overtime hours is needed.

4 0

4 years ago

Let w=width and 4 + w=

kozerog [31]

Answer:

Part 1 : $w^2+4w-60=0$

Part 2 :

w=6

l = 10

Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

$60=w(w+4)$

$60=w^2+4w$

$w^2+4w-60=0$

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

(w+10)(w-6)= 0

either (w+10) = 0

or

(w-6)=0

or both are zero

(w+10) = 0 ⇒ w = -10

not possible as the dimension can not be 0

(w-6)=0 ⇒ w=6

Hence the width is 6 yards

And thus the length will be 6+4 = 10 yards

8 0

3 years ago

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$