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PSYCHO15rus [73]
3 years ago
14

An acute angle is less than 90°. Choose the inequality that represents the statement.

Mathematics
2 answers:
Vitek1552 [10]3 years ago
8 0

Answer:

The first option

Step-by-step explanation:

Alexus [3.1K]3 years ago
7 0
It would be the first option- x<90
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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
2 years ago
Solve 2(4 x + 3) &lt; 5 x + 21. { x | x &lt; 9} { x | x &gt; -5} { x | x &gt; -9} { x | x &lt; 5}
Nesterboy [21]

Answer:

x <5

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x +21

Subtract 5x from each side

8x -5x +6 < 5x-5x+21

3x +6 < 21

Subtract 6 from each side

3x+6-6 <21-6

3x <15

Divide each side by 3

3x/3 <15/3

x <5

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I neeed helpppppppppppppppp
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✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

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Divide to find how much he gets paid per hour:

$334 ÷ 40 = $8.35

Multiply the cost per hour by 32 hrs to get the total amount he'll get paid:

$8.35 × 32 = $267.20

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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