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Vanyuwa [196]
3 years ago
8

Calculate the length of the bold arc

Mathematics
1 answer:
Over [174]3 years ago
4 0

Answer: length of arc is 44 cm.

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 8 cm

Angle subtended by the bold arc,θ = 315 degrees

Therefore,

Length of arc = 315/360 × 2 × 3.14 × 8

Length of arc = 44 cm rounded up the nearest whole number.

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A cylinder has radius 2.5 cm and lateral area 20 pi cm^2. What is the surface area of the cylinder in terms of pi?
Novosadov [1.4K]
This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2

4 0
3 years ago
Who is taller 180 cm or 5ft 8in.
sveticcg [70]
180 cm is taller because 5ft 8in =  172.72 cm
3 0
3 years ago
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OLEGan [10]

Answer/Step-by-step explanation:

The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:

4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given

Apply the distributive property to open the parentheses

4*2a + 4*3 = -3*a -3*-1 + 31 - 11a

8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property

Combine like terms together

8a + 12 = 3 + 31 -3a - 11a

8a + 12 = 34 - 14a ---› Combining like terms

Add 14a to both sides

8a + 12 + 14a = 34 - 14a + 14a

22a + 12 = 34 ----› Addition property

Subtract 12 from both sides

22a + 12 - 12 = 34 - 12

22a = 22 ----› subtraction property of equality

Divide both sides by 22

22a/22 = 22/22

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7 0
3 years ago
There are 18 students on the debate club. How many ways can the club send 4 students to the next debate
olya-2409 [2.1K]

There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have the total number of students = 18

The number of ways the club send 4 students to the next debate is:

= C(18, 4)

= \rm \dfrac{18!}{4!(18-4)!}

= 3060

Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

5 0
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Help! I’ll reward brainest its pretty easy
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Answer:

$5250

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multiply the cost by the number of people

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