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3 years ago

Calculate the arc length of GH in terms of pi.

Mathematics

1 answer:

LenKa [72]3 years ago

6 0

Answer:

10π/3 mm

Step-by-step explanation:

Arc length is:

s = rθ × π/180

where r is the radius and θ is the angle in degrees.

Here, r = 10 mm and θ = 60°.

s = (10) (60) (π/180)

s = 10π/3

Another way to calculate it is to find the entire circumference then divide by 6, since 60° is one-sixth of 360°.

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Use this diagram and information given to find m

zaharov [31]

The drawing seems to suggest that angles BFA, AFE and EFD span a straight angle, just like angles BFC and CFD

This means that you have

$BFA+AFE+EFD=180$

But we know that both BFA and EFD measure 70 degrees, so the equation becomes

$[tex]70+AFE+70=180 \iff AFE + 140 = 180$

So, if you subtract 140 from both sides, you have

$AFE = 180-140 = 40$

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3 years ago

Find the slope of the line that passes through the points (-9,-4) and (-16,-8)?

Licemer1 [7]

The slope is 4/7

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Hope this helped :)

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3 years ago

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Step-by-step explanation:

7 0

3 years ago

The size 4 soccer ball Sean’s team uses should weigh no more than 0.37 kilograms, and no less than 0.31 kilograms. A soccer bag

dmitriy555 [2]

Answers:

Q: What is the most they could weigh together?

A: 0.74 kg

-----

Q: What is the least they could weigh together?

A: 0.62 kg

=================================================

Work Shown:

x = weight of first ball

y = weight of second ball

each ball has a weight range of 0.31 kg to 0.37 kg, so,

$0.31 \le x \le 0.37$

$0.31 \le y \le 0.37$

add straight down to get

$0.31+0.31 \le x+y \le 0.37+0.37$

which simplifies to

$0.62 \le x+y \le 0.74$

the two soccer balls have a weight range of 0.62 to 0.74, inclusive of both endpoints.

--------

Without using algebra, you basically just add the smallest the two weights could be (0.31) to itself to get 0.31+0.31 = 0.62 which represents the smallest the two weights combined can be. The same happens with the largest weight of 0.37 to get 0.37+0.37 = 0.74 as the max weight of both objects together.

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4 years ago

Given segment AB with points (-4, 8) and (6, 3) respectively. Find the coordinates of point P that partitions Segment AB in the

netineya [11]

Answer:

$P = (2,5)$