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Mila [183]
3 years ago
13

Brianna bought a compact disk for $10. An instant rebate gave her a discount and she only had to pay $7.50 for the CD. What is t

he discount, as a percent, that the instant rebate gave her?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

25%

Step-by-step explanation:

The discount was $2.50.  Dividing $2.50 by $10, we get 0.25, or 25%

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A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
7 0
3 years ago
Luna is selling balloon animals at the park. She began with 35 balloons, and she has sold
Aleksandr [31]

Answer:

$12.25

i hope this helps

Step-by-step explanation:

5+2=7

1.75×7=12.25

7 0
3 years ago
A circular garden has a diameter of 6 feet. Which of the following is closest to the area of the garden?
oksian1 [2.3K]
The answer to this problem is 'B'.

This is because to find the area of a circle your formula is
A = 3.14•r²
So your first step is

1. Find the radius by dividing the diameter (6) by 2
6/2 = 3 Radius= 3

Now that you have found the radius (3) plug the number in the formula
2. A = 3.14•3²
OR
A = 3.14•3•3

Finally, solve the last step - Find the area
3.14 • 3 • 3 = 28.26
A = 28.26
5 0
3 years ago
Read 2 more answers
In 8 months, 55.6 gallons were used. Find the unit rate.
OLga [1]
6.95 gallons in 1 month
8 0
3 years ago
Read 2 more answers
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

3 0
3 years ago
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