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Sergeeva-Olga [200]
3 years ago
14

15 POINTS

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

f(n)= f(n-1) · 0.6+48, n>0

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Joshua sold his bike for 10% less than he paid for it. If he sold the bike for $585, how much did he pay for it?
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He paid $643.5 for it originally

585 x .1 = 58.5

585+58.5= 643.5

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6 0
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Need help simple explanation if possible
photoshop1234 [79]

Answer:

m < A = 60º

m < B = 30º

Step-by-step explanation:

The given sides on this triangle are: 6, 6\sqrt{3}, and 12

Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:

x, x\sqrt{3}, 2x

We can line this up with the given sides. If x is 6, then 2x would be 12.

x : x\sqrt{3} : 2x = 6 : 6\sqrt{3} : 12

Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.

m < B = 30º

Solving for < A:

Method 1) Sum of Angles in a Triangle

Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.

180º - 90º - 30º = 60º

m < A = 60º

Method 2) Using the second part of the proportion

Since m < A is across from the second largest side, we know that it is equal to x\sqrt{3} (6\sqrt{3} in this question) or 60º in the angle proportion.

This means that m < A = 60º

Let me know if you have any questions!

4 0
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Need Assitance<br>*Show Work*​
Rama09 [41]

Answer:

66 2/3 %

Step-by-step explanation:

First find the students not in the 8th grade

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16 students are not in the 8th grade

Take the fraction of the students not in the 8th grade over the total

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Multiply by 100 to change to a percent

66.666666%

66 2/3 %

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According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!
6 0
3 years ago
The amount of gasoline remaining in the tank decreases while the mileage driven
jarptica [38.1K]
The mileage is the independent variable. You can control it. The gasoline remaining DEPENDS ON the number of miles different. That's why it's called the dependent variable. It's change depends on the change in the independent variable
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