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stealth61 [152]
3 years ago
10

What is the exact value of tangent (negative StartFraction pi Over 3 EndFraction)

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

tan(-π/3) =  -1.732050808

Step-by-step explanation:

Given in the question, we have to find the value of tan(-pi/3) or it can be written as:

x = tan(-\frac{\pi}{3})

where x is the exact value of the given tangent.

However, in this question, one may get confused and put the value of π = 3.14, which is wrong. The value given is in radians, which is used to measure angles, just like degrees.

To make it easier, lets convert the radians into degrees. We know that

π = 180°

-π/3 = -180/3 = -60°

Find x:

x = tan (-60°)

x = -1.732050808

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Need help filling in the blanks
Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

1.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

2.

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

3.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{25.50}{850}*100

r = 0.03*100

r = 3%

4.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=675-(675*0.02)

Discounted Price=675-13.5

Discounted Price=$661.5

5.

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

7.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=1,888-(1,888*0.08)

Discounted Price=1,888-151.04

Discounted Price=$1736.96

8.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{91.34}{4567}*100

r = 0.02*100

r = 2%

7 0
3 years ago
Nine less than five times a number is equal to -30
disa [49]

To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.

The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.

5x - 9 = -30

Get all terms with x on one side and the constants on the other

5x - 9 +9 = -30 + 9

Simplify

5x = -21

Now, we can divide both sides by 5 to get our answer of x = -\frac{21}{5}

6 0
3 years ago
Read 2 more answers
A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.
Mars2501 [29]
Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.
Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)
5 0
3 years ago
(Will Give Brainliest!)What is the probability of the spinner landing on 2?
Nookie1986 [14]

Answer:

1/4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What's the answer and how do you get it
ycow [4]
That some the answer

7 0
3 years ago
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