A. Write the symbol into words: MN

How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

2 years ago

Solve for x. x-17=-57 i need help

seraphim [82]

X - 17 = -57
-17. -17
x = -74

hope this helps xo

7 0

2 years ago

What is the answer pls help

rewona [7]

Ya it’s 94 i’m pretty sure

7 0

2 years ago

Patrick has a 600-meter skein of yarn. He used 248.9 meters of yarn to make a hat. Does he have enough yarn to make an scarf tha

Masja [62]

Patrick has a total of 600 meters skein of yarn.

He used 248.9 meters of yarn to make a hat.

Now, If he has used 248.9 meters of yarn, we need to find how much yarn has he left.

We need to subtract the amount of yarn used from the total length. That is, 248.9 from 600.

$600-248.9=351.1$

So, now Patrick has left 351.1 meters of yarn.

Patrick needs to make a scarf that needs 354.03 meters of yarn but after making a hat he has left with only 351.1 meters of yarn. Therefore, Patrick does not have enough yarn to make a scarf.

6 0

2 years ago

A variable that is both (1) mutually exclusive, (2) exhaustive, (3) has a rank order AND (4) has equal distance between categori

kodGreya [7K]

Answer:

Interval variables

Step-by-step explanation:

An interval variable which is also refereed to as ordinal variable with the additional property that t has differences in magnitudes of the between two meaningful values

An example of an interval variable is ,when a temperature of 90 degrees and 100 degrees is the same difference as between 90 degrees and 80 degrees.

Interval variables are also said to be mutually exclusive , exhaustive and also having a rank or ranking order.

6 0

3 years ago

A. Write the symbol intowords:MN