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3 years ago

circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

The complete question in the attached figure

we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
 they are all congruent
so
divide 180 by 3 ----------------> 180/3=60°

Find the length of arc rc=60°

if 360°----------------> (2*pi*7) length of circumference
60° -------------------> X
X=60*2*pi*7/360------------> 7.327 units

the answer is
the length of arc rc= 7.33 units

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3.8 times 10 to the power of -8

Yuliya22 [10]

Answer:

1/38^8

Step-by-step explanation:

3.8 times 10 is 38

so it would be 38 to the power of -8 ( 38^-8 )

then you simplify

you have to rewrite the negative power

( you can't have negative power as numerator )

$\frac{38^{-8} }{1}$

so you put it a part of the denominator

which switches the sign

$\frac{1}{38^{8} }$

hope this helps

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3 years ago

Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

3 0

3 years ago

Please find the slope, using formula

koban [17]

Answer:

-.2857

Step-by-step explanation:

3 0

3 years ago

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi

Grace [21]

I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.

The hypotenuse is 9 cm. the angle is found by:

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.

cos 60 = x/9

9 cos 60 =x

x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

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QveST [7]

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3 years ago