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3 years ago

A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

Look at the picture.

At the beginning we have to calculate what part of the angle 360° is the given angle 75°.

$\dfrac{75}{360}=75:360=0.2$

The same part of the circumference of the circle is the arc defined by this central angle.

The circumference C = 20.

Therefore

$x=0.2\cdot20=4$

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Oliver drives 45 miles per hour. Write an expression that represents the distance in miles he will travel for h hours driven

Yuri [45]

Answer:

The expression that represents the distance in miles Oliver will travel for h hours is: d=45\times h.

Step-by-step explanation:

The first thing to take into account is the speed equation. It is , where v is the speed, x is the distance and t is the time.

Now, let's change the name of the variables to adapt the equation to the problem. The equation could be converted to:

, where v is the speed in miles per hour, d is the distance in miles and h is the time in hours.

The next step is to manipulate a little bit the previous equation to find the distance in terms of speed (v) and time (h). If you pass the variable time (h) to multiply to the left side with speed (v), the equation would be:

The previous equation is the distance in miles in terms of speed in miles per hour and time in hours. Now, you must replace the value of the speed that is 45 miles per hour. The expression would be:

As the speed is in miles per hour and the time is in hours, the distance expression is in miles. So if you replace any value for h (in hours), you will obtain the distance in miles.

Thus, the expression that represents the distance in miles Oliver will travel for h hours is: d = 45 x h.

4 0

3 years ago

The expression 5(2x - 1) - 3x(2x - 1) when factorized fully is equal to

Nadusha1986 [10]

Here is my work! the answer is (-3x+5)(2x-1)

5 0

3 years ago

During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

8 0

3 years ago

Death Valley is the location of the lowest land elevation in the USA which is 282 feet below sea level.The location with the hig

il63 [147K]

Answer:

20,038

Step-by-step explanation:

20,320 - 282

7 0

3 years ago

A stadium has 50,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Sect

Pepsi [2]

Answer:

Section A holds 25,000 seats, section B holds 14,500 seats and section C holds 10,500 seats.

Step-by-step explanation:

From the information given you can write the following equations:

A+B+C=50,000 (1)

28A+24B+20C=1,258,000 (2)

A=B+C (3)

A= number of seats in section A

B= number of seats in section B

C= number of seats in section C

You can replace (3) in (1) and (2) to get two equations:

B+C+B+C=50,000

2B+2C=50000

28(B+C)+24B+20C=1,258,000

28B+24B+28C+20C=1,258,000

52B+48C=1,258,000

The two equations are:

2B+2C=50000 (4)

52B+48C=1,258,000 (5)

You can isolate B in (4):

2B=50,000-2C

B=(50,000/2)-(2C/2)

B=25,000-C

Now, you can replace B in (5):

52(25,000-C)+48C=1,258,000

1,300,000-52C+48C=1,258,000

1,300,000-1,258,000=4C

42,000=4C

C=42,000/4

C=10,500

Now, you can replace the value of C in B=25,000-C:

B=25,000-10,500

B=14,500

Finally, you can replace the values of B and C in A=B+C to find A:

A=14,500+10,500

A=25,000

According to this, the answer is that section A holds 25,000 seats, section B holds 14,500 and section C holds 10,500.

6 0

3 years ago