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nekit [7.7K]
2 years ago
6

The second hand on a clock is 8 \text{ cm}8 cm8, start text, space, c, m, end text long. What is the distance the tip of the sec

ond hand travels in 101010 minutes? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.
Mathematics
2 answers:
LuckyWell [14K]2 years ago
8 0

Answer:

502

Step-by-step explanation:

STOP  CHEATING

Ymorist [56]2 years ago
5 0

Answer:

502 cm

Step-by-step explanation:

The tip of the second hand travels along the circumference of a circle with radius equal to the length of the second hand.

We can use the formula C=2πr to find the circumference of the circle traced by the tip of the second hand.

C=2π8

C=2π(8)

C=16π

The circumference is 16π cm.

We can think about the relationship between distance and circumference like this:

distance = circumference x number of revolutions

The second hand of a clock makes a full revolution every minute, so we know that the second hand revolves 10 times in 10 minutes.

 

16π × 10  = 160π

≈160×3.14

≈502.4

≈502

The tip of the second hand travels 502 cm in 10 minutes.

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Does the construction demonstrate how to bisect a segment correctly by hand?
nadya68 [22]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

First of all, we can clearly tell that a straightedge was used to create CD but that doesn't prove anything so we can eliminate the second and fourth options. Upon measuring the lengths of AC and CB, we see that they are equal so the answer is Yes; the compass was kept at the same width to create the arcs for points C and D. The reason why this is so important is because we know that AC = CB = BD = DA because the compass width is the same, so therefore, ACBD is a rhombus based on the definition of a rhombus. We know that the diagonals of a rhombus bisect each other and since CD and AB are diagonals, we know that CD bisects AB.

8 0
2 years ago
What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? 20 pts.
fgiga [73]

ANSWER

a_n = 11 - 3n

EXPLANATION

The explicit rule for an arithmetic sequence is given by:

a_n = a_1 + d(n - 1)

It was given that:

a_1 = 8

and

a_2 = 3

The common difference is

d = 5 - 8 =  - 3

We plug in the values into the explicit formula to get,

a_n = 8+  - 3(n - 1)

Expand to get,

a_n = 8 - 3n  + 3

The explicit rule is

a_n = 11 - 3n

6 0
2 years ago
David bought a baseball card for $40. the value of the card increased by 25%. what is the new value of the card?
kenny6666 [7]

Answer:

65 i think

Step-by-step explanation:

5 0
2 years ago
The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ i
Marina86 [1]

First transformation.

Duadrilateral ABCD has vertices with such coordinates:

  • A(15,10);
  • B(15,20);
  • C(20,15);
  • D(20,5).

Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then

  • A(15,10)→A'(15,10);
  • B(15,20)→B'(5,10);
  • C(20,15)→C'(10,15);
  • D(20,5)→D'(20,15).

Second transformation.

1. A reflection across the y axis has a rule:

(x,y)→(-x,y).

Then

  • A'(15,10)→A''(-15,10);
  • B'(5,10)→B''(-5,10);
  • C'(10,15)→C''(-10,15);
  • D'(20,15)→D''(-20,15).

2. A translation 20 units down has a rule:

(x,y)→(x,y-20).

Then

  • A''(-15,10)→G(-15,-10);
  • B''(-5,10)→H(-5,-10);
  • C''(-10,15)→I(-10,-5);
  • D''(-20,15)→J(-20,-5).

Answer: first blank -B, second blank - B.

4 0
2 years ago
Read 2 more answers
Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used
morpeh [17]
Given that <span>Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used drone he sells, where x is the original value of the drone and that t</span><span>he function g(x) = 1.08x is used to determine the amount a customer pays for a drone at Jim’s store including 8% sales tax.

</span> The <span>function to determine the total amount a customer pays for a used drone at Jim’s store including 8% sales tax is given by

f(x) + g(x) = 0.7 + 23 + 1.08x = 1.78x + 23.
</span>
3 0
2 years ago
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