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3 years ago

What is 2( 5x + 5) using the distributive property

2 answers:

8 0

You must distribute the first number to the others, 2*5x, ignore the x and add it at the end, 10x. then distribute 2 to the 5 which is also 10. giving you a final answer of 10x+10, keep the same symbol that is separating the numbers in parenthesis

ratelena [41]3 years ago

6 0

2 x 5x= 10x
5x2=10
The final equation is 10x+10

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3 years ago

The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;

The length of arc from time 12:00 to 12:25 = $\frac{5}{12}\times \text {Circumference of circle}$

= $\frac{5}{12} \times 16 \pi$

= $\frac{20}{3} \pi$ = 6.67 $\pi$

Now, assuming value of $\pi$ = 3.14; so 6.67 $\pi$ = $6.67 \times 3.14$ = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

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3 years ago