Ask question

Ask question

All categories

3 years ago

5

If the length of the minute hand of the clock in London commonly known as “Big Ben” is 11.25’ from the center of the clock to th

e tip of the hand, what is the area swept out by the minute hand as it moves 5 minutes of time?

1 answer:

Elenna [48]3 years ago

3 0

The angle swept out is equal to 1/12 of a full rotation is π/6 radians.

r^2 * theta = π/6 * 11.25^2 = 66.268"

You might be interested in

Write the quadratic equation in standard form:<br>5+ 7x = -4x2 – 5

Bond [772]

Answer:

4x^2 + 7x +10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

3 years ago

Sara wants to keep her phone bill under $40 each month. There is a flat fee of $34 and she is charged $0.05 per text message, t.

alukav5142 [94]

Answer:

320 messages

Step-by-step explanation:

20 messages per dollar,

20 x 16 equals 320

8 0

2 years ago

Write a problem that the expression 3(-7) -10 + 25 = -6

Sav [38]

This is true because the answer is -6 = -6

7 0

3 years ago

Read 2 more answers

0.05x =0.5 can someone please helppppp!!!!!!!!!!

Tcecarenko [31]

Answer:

x equals 10

Step-by-step explanation:

you are moving the 5 from the hundredth value to the tenth, meaning it is becoming a higher number. for this one, just multiply by 10.

4 0

2 years ago