Answer:

Cost of the pair of jeans = $48.99

Sales tax = 6.25%

Total cost = $48.99+6.25%

= $49.05

**Therefore, the total cost including sales tax is $49.05**

What value completes the square for the expression? x2 - 18x i got -9

Charlie has a piece of toast that has cream cheese on one side, and he dropped it once. One time, it landed with the cream cheese side up. If he drops it two more times, what is the probability that it will have landed cream cheese side up a total of three times?one over fourone over threeone over eightthree over four

Mindy makes $3400 a month. She spends 30% of her money on her house payment, 20% on food costs, 25% on her car note, 10% on other bills, and the rest is spending money. How much spending money should she have?

Danny has a 15-foot board that he wants to use as a motorcycle ramp. If Danny wants the end of the ramp to be 4 feet off the ground, what angle will be formed between the board and the ground? Round the answer to the nearest whole degree.A. 14 degreesB.15 degreesC.27 degreesD.75 degrees

Can a triangle be made with sides of length 7, 10, and 20 units?

Charlie has a piece of toast that has cream cheese on one side, and he dropped it once. One time, it landed with the cream cheese side up. If he drops it two more times, what is the probability that it will have landed cream cheese side up a total of three times?one over fourone over threeone over eightthree over four

Mindy makes $3400 a month. She spends 30% of her money on her house payment, 20% on food costs, 25% on her car note, 10% on other bills, and the rest is spending money. How much spending money should she have?

Danny has a 15-foot board that he wants to use as a motorcycle ramp. If Danny wants the end of the ramp to be 4 feet off the ground, what angle will be formed between the board and the ground? Round the answer to the nearest whole degree.A. 14 degreesB.15 degreesC.27 degreesD.75 degrees

Can a triangle be made with sides of length 7, 10, and 20 units?

127.5

is what percent of

51

?

To solve this, you need to divide 127.5 by 51:

127.5/51 = 2.5

To find the percent, multiply 2.5 by 100:

2.5 x 100% = 250%

So 127.5 is 250% of 51

127.5/51 = 2.5

To find the percent, multiply 2.5 by 100:

2.5 x 100% = 250%

So 127.5 is 250% of 51

**Answer:**

The first pizza is 6 slices, so each slice is 1/6 of a pizza. The second pizza is 4 slices, so each slice is 1/4 of a pizza. If you were to take one slice of each, you would get 1/6 +1/4 slice, which would be 5/12 of a pizza, as opposed to if you took 2 slices of the first pizza, which would only be 4/12 of a pizza.

This could also be written as, where

This would factorize to give:

So we can factorize our original expression:

We can then solve for as we would with a normal quadratic:

And also:

So our values for are:

As:

Our final solutions for are:

The **solutions** to the **equation** 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π) are x = π/3, 5π/3, and π.

We have,

To solve the **equation** 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π), we can use a substitution technique.

Let's substitute cos(x) with a variable, say, u.

The **equation** becomes:

2u^2 + u - 1 = 0.

Now, we can factorize the quadratic **equation**:

(2u - 1)(u + 1) = 0.

Setting each factor equal to zero, we have:

2u - 1 = 0 or u + 1 = 0.

Solving these **equations** separately, we find:

2u = 1 or u = -1.

For 2u = 1, we get u = 1/2. Taking the inverse cosine of 1/2,

We have cos(x) = 1/2.

For u = -1, we get u = -1. Taking the inverse cosine of -1, we have cos(x) = -1.

Now, we need to determine the **solutions** for x within the given interval [0, 2π).

For cos(x) = 1/2, the **solutions** within the interval are x = π/3 and x = 5π/3.

For cos(x) = -1, the **solution** within the interval is x = π.

Therefore,

The **solutions** to the **equation** 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π) are x = π/3, 5π/3, and π.

Learn more about **equations** here:

#SPJ6

**Answer:**

BC = 15

**Step-by-step explanation:**

Because of parallel lines, AD and BE, triangles ADC and BEC are similar.

In similar triangles, the lengths of corresponding sides are proportional.

AC/BC = DC/EC

We see that AC = AB + BC = 3 + BC

Also, DC = DE + EC = 2 + 10 = 12

(3 + BC)/BC = 12/10

(3 + BC)/BC = 6/5

Cross multiply.

5(3 + BC) = 6BC

15 + 5BC = 6BC

15 = BC

BC = 15

32 feet every five seconds, I think.