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Dimas [21]
2 years ago
7

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 74.46 cm long. 1/360th of the circum

ference of the circle is 0.51 cm long. What is the measure of this angle in degrees?
 ________degrees
​
Mathematics
1 answer:
harina [27]2 years ago
8 0

Answer:

146°

Step-by-step explanation:

You're given an angle, where the vertex is the center of a circle. This makes the angle's rays <em><u>two radii</u></em> of the circle. You are then given the length of 1/360th of the circle, which is .51cm, which is also 1 degree of the circle.

If the arc of the circle between the angle's rays is 74.46 cm. It becomes a division problem:

\frac{74.46 cm}{.51 cm}

After the division, the fraction simplifies to 146, which is 146 segments of .51cm in the arc, and since .51cm is equivalent to 1 degree of the circle, the arc is 146 degrees.

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You have 30 feet of wire fencing that you want to use to make a rectangular pen for chickens. Let l be the length of the pen. wh
Olin [163]

Answer:

The area would be '15l - l²

Step-by-step explanation:

Given,

By 30 feet of wire fencing we need to make a rectangular shape,

Thus, perimeter of such rectangle = 30 feet,

We know that,

Perimeter of a rectangle = 2( length + width)

if length = l feet,

⇒ 2(l + width) = 30

⇒ 2l + 2 × width = 30

⇒ 2 × width = 30 - 2l

⇒ width = \frac{30-2l}{2} = (15-l) feet,

Now, area of the rectangle,

A = length × width

= l × (15-l)

= 15l - l²

Which is the required polynomial expression.

Note :

Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.

4 0
2 years ago
P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.
d1i1m1o1n [39]

15.3 * 20.8 / 31.2

= 318.24 / 31.2

= 10.2

Answer: when q = 15.3 , p = 10.2

6 0
2 years ago
? ÷ 100,000 = 4.3976<br> ? ÷ 100,000 = 439.76<br> ? ÷ 100,000 = 4,397.6<br> ? ÷ 100,000 = 439,760
Olin [163]

Answer:

1 = 439,760

2= 43,976,000

3= 439,760,000

4= 43,976,000,000

Step-by-step explanation:

You can easily <u>get</u><u> </u><u>the</u><u> </u><u>answers</u><u> </u><u>by</u><u> </u><u>multiplying</u><u> </u><u>each</u><u> </u><u>by</u><u> </u><u>100</u><u>,</u><u>000</u>

4 0
2 years ago
I really need help on my Study Island. If you are correct, I will give you Brainliest. Thanks!
yarga [219]

Answer:

20

Step-by-step explanation:

You need to create two equations for each company and then set them equal to each other. The keywords base fee means you will pay this amount regardless, so this amount stays constant and it will be the constant in the equation.  The other keyword is per. Per will link the variable with the coefficient.

The first equation for company M:

y = 12x + 60

The second equation for company N:

y = 9x + 120

Set the equations equal to each other.

9x + 120 = 12x + 60

Solve for x. I am going to subtract 9x from both sides first.

9x - 9x + 120 = 12x -9x +60

120 = 3x +60

Now, I will subtract 60 from both sides.

120 - 60 = 3x + 60 - 60

60 = 3x

Finally, I will divide both sides by 3

60/3 = 3x/3

x = 20

20 is how many guests it will take for the total cost to be the same.

5 0
2 years ago
Which score has a higher relative position, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score
slava [35]

solution:

a score of 92 has z score of

z=\frac{x-μ}{σ}=\frac{92-71}{5}=1.40

a score of 688 has z score of

z=\frac{x-μ}{σ}=\frac{688-493}{150}=1.30

a score of 92 is better because its z score is higher

5 0
2 years ago
Read 2 more answers
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