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Drupady [299]
3 years ago
15

Convert the angle \theta=260^\circθ=260

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

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liubo4ka [24]

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y = -1/2x + 1/4

This equation is in slope intercept form

y = mx+b where m is the slope and the y intercept is b

The slope is -1/2 and the y intercept is 1/4

8 0
3 years ago
How many math books and English books did Nicole purchase?
Ksju [112]
Create a system if equations to solve this.

First equation:
25m + 24e = 220

Second equation:
m + e = 9

Then you must solve the second equation for a variable.

Change m + e = 9 to e = 9 - m.

Then substitute (9 - m) for e in the first equation.

So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.

Now you can solve the first equation because the only variable in it is m.

25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)

Now plug in 4 for m in the second equation.

m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)

m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.
6 0
2 years ago
How do you simplify 2i<6u
Solnce55 [7]
Divide both sides by 2
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4 0
3 years ago
The sales tax on a surfboard is $12. What is the percent of sales tax?
Rudik [331]
X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)


Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
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The sales tax is 5%.

Hope this helps! :)


8 0
3 years ago
Equation for 14+ W= 26
OLEGan [10]

Answer: w = 12

Step-by-step explanation: In this problem, we want to get <em>w</em> by itself on one side of the equation. Since we have <em>14 + W</em>, in order to get <em>w</em> by itself, we must subtract 14 from the left side of the equation.

If we subtract 14 from the left side of the equation, we must also subtract 14 from the right side of the equation. So on the left, +14 and -14 cancel each other and on the right, 26 - 14 simplifies to 12 so <em>w = 12</em>.

To check our answer, we substitute a 12 back in for <em>w </em>in the original equation and we have 14 + (12) = 26 or 26 = 26 which is a true statement so the answer checks.

6 0
3 years ago
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