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3 years ago

13

A store that sells snowboards was selling them for $150. When winter was over, the store marked them down at a rate is 45%. Mrs.

Simanski has a coupon for 5% off all purchases. What does she pay?

1 answer:

exis [7]3 years ago

8 0

Answer:

you have to divide 4 by 5

Step-by-step explanation:

0

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The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa

taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs. Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also: a + b + c = Perimeter = 84 units.

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369. Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0. Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

47 ± 23

b = -------------- , so that b is either 35 or 12

2

and then side a has length a = 47 - b = 12 or 35.

Thus, a = 12 and b = 35, and c is given: 37.

Check: Is 12^2 + 35^2 = 37^2 true? Is 144 + 1225 = 1369? YES

The lengths of the legs are 12 and 35 units.

7 0

3 years ago

PLZ help its an easy question

stellarik [79]

The answer is B because if you get 5 on the first test then you will have 10 already. if you get at least 1 point on the second then you will have 11 or higher. since the 1st is doubled then the shaded region will retreat by 2 squares for every point less then the maximum you get on the first test.

5 0

3 years ago

Read 2 more answers

HURRY UP!!!Right triangle QRS is pictured below.

Gemiola [76]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In high school, some students have been confused to believe that 22/7 is already the actual value of π or an acceptable approxim

jarptica [38.1K]

Answer:

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

Step-by-step explanation:

The formula for the absolute error is:

Absolute error = |Actual Value - Measured Value|

The formula for the relative error is:

Relative error = |Absolute error/Actual value|

I am going to consider the actual value of $\pi$ as 3.14159265359.

In the case of 22/7:

22/7 = 3.14285714286.

Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927

Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%

In the case of 355/113

355/113 = 3.14159292035

Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676

Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

5 0

3 years ago

Stacey is making candles to sell at the craft fair. She has 5 pounds of wax to make the candles. She needs 18 pound of wax for 1

SIZIF [17.4K]

Answer:

Step-by-step explanation:

To determine how much wax you will need, you will first need to decide on ... (ounces needed) ÷ 16 (ounces in 1 pound) = (pounds of wax needed). For example, let's say you wanted to make 25 candles in our 8 oz Candle Tins ... 5 x 25 = 125 oz of wax ... It's always better to have a little wax left over than to not have enough!

4 0

3 years ago