All categories

3 years ago

The circumference of C is 72 cm. what is the length of arc AB (the minor arc)? The center angle is 45

Mathematics

2 answers:

atroni [7]3 years ago

8 0

Answer:

Arc length (AB ) = 9 cm .

Step-by-step explanation:

Given : The circumference of C is 72 cm and The center angle is 45.

To find : What is the length of arc AB (the minor arc).

Solution : We have given that

circumference of C = 72 cm.

The center angle = 45.

Formula of arc length = $2\ pi\ r (\frac{central\ angle}{360})$ .

We have circumference = 2 pi r

Substitute the values arc length = $72 (\frac{45}{360})$ .

Arc length = $(\frac{3240}{360})$ .

= 9 cm

Therefore ,Arc length (AB ) = 9 cm .

Nat2105 [25]3 years ago

7 0

The arc length is given by:
2πr(theta)/360
given the circumference is 72 cm, the arc length will be:
AB=45/360*C
AB=45/360*72
AB=9 cm
the answer is 9 cm

You might be interested in

How to solve -2(1-7n)-5n=34

OLEGan [10]

-2(1-7n)-5n=34

Multiply the bracket by -2

(-2)(1)=-2

(-2)(-7n)=14n

-2+14n-5n=34

-2+9n=34

Move -2 to the other side. Sign changes from -2 to +2.

-2+2+9n=34+2

9n=34+2

9n=36

Divide by 9 for both sides

9n/9=36/9

n=4

Answer: n=4

6 0

3 years ago

Read 2 more answers

1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

The table shows different possibilities for the number of students to the number of fans present at a football game. Which ratio

Deffense [45]

Answer: 7:49

Step-by-step explanation: As you can see in the table, if you divide the number of fans present at a football game by the number of students, you would always get 7. So, 7:49 is a choice because if you divide 49 by 7, you get 7. Hope this helps!!

7 0

3 years ago

Convert 32 kilometers per hour to miles per day. (3.28 feet 1 meter)

bonufazy [111]

Answer:

477.09 mi/da

Step-by-step explanation:

If student must use conversion given, 3.28ft = 1m, then the following works:

32km/hr = ______mi/da 1 day = 24 hrs, 1m=3.28ft, 1km=1000m,1mi=5280ft

32km/hr x 24hr/day x 1000m/1km x 3.28ft/1m x 1mi/5280ft = 477.09mi/da

If student can use 1km = 0.62mi, some steps can be skipped.

3 0

3 years ago

A radioactive substance decays exponentially. A scientist begins with 100 milligrams of a radioactive substance. After 27 hours,

never [62]

33.3 because 27/50=36/x and x=66.67 and thats how much as decayed after 36 hours but you want what is left so subtract from 100 and get 33.3

7 0

3 years ago