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anygoal [31]
2 years ago
15

Find the arc length of the partial circle.

Mathematics
2 answers:
Mashcka [7]2 years ago
6 0

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{90}{360}

     = 2π × 8 × \frac{1}{4}

     = 2π × 2

    = 4π units ← exact answer

Novosadov [1.4K]2 years ago
4 0
Mark Brainliest please

Answer : Arc length (L) = 12.56637
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3 years ago
Simplify the expression(a4−6a2b2+ b4)−(−2a4+5a2b2+ 3b4) and hence, find its value for a = 2and b = −1.
ELEN [110]

Answer:

(a) 3a^4 - 11a^2b^2 -2b^4

(b) 3a^4 - 11a^2b^2 -2b^4= 2

Step-by-step explanation:

Given

(a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)

Solving (a): Simplify

(a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)

Open brackets

a^4 - 6a^2b^2+ b^4 +2a^4-5a^2b^2- 3b^4

Collect Like Terms

a^4 +2a^4- 6a^2b^2-5a^2b^2+ b^4 - 3b^4

Simplify Like Terms

3a^4 - 11a^2b^2 -2b^4

Solving (b): Simplify when a = 2 and b = -1

3a^4 - 11a^2b^2 -2b^4

3*(2)^4 - 11*(2^2)*(-1)^2 -2*(-1)^4

3 * 16 - 11 * 4 * 1 - 2 * 1

48 - 44 - 2

= 2

Hence:

3a^4 - 11a^2b^2 -2b^4= 2

4 0
2 years ago
What type of triangle has exactly two acute triangles ​
Sveta_85 [38]

Answer: A right triangle.

Step-by-step explanation:

This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.

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2 years ago
When you combine equal groups ____________ to find how many in all
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3 years ago
Read 2 more answers
woodland Mound Park sells annual visitors passes for $12.50. Last year the park raised $53,500 in annual visitors pass sales. Ho
maria [59]

Answer:

4,280\ passes

Step-by-step explanation:

Let

x -----> the number of annual visitors pass sold

we know that

To find out the number of annual visitor passes sold, divide the total amount raised by the cost of a pass.

so

The linear equation that represent this problem is

12.50x=53,500

Solve for x

Divide by 12.50 both sides

x=\frac{53,500}{12.50}=4,280\ passes

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3 years ago
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