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2 years ago

What is the degree measure of an arc 4 pi feet long in a circle radius of a 10 foot radius

1 answer:

5 0

Circumference = 2 pi r = 20 pi
corresponding to 360 degrees

so an arc of 4pi feet will have a degree measure of 5pi / 20pi * 360 = 1/4 * 360 = 90 degrees

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What is the value of (-5)^4

butalik [34]

Answer:

625

Step-by-step explanation:

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3 years ago

Choose four point from the table. Compare rates (linear Representation)

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Answer:

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2 years ago

Which term of the Ap: 3,8,13,18.......is 78?<br>

Alex Ar [27]

Answer:

$\bold{a_{16}=78}$

Step-by-step explanation:

$a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16$

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3 years ago

Sophia pays $19.99 membership fee for an online music store. If sophia purchases n songs for $0.99 each write the expression for

Alona [7]

Answer:

The expression for the total cost is x = 19.99 + 0.99n .

Step-by-step explanation:

Let us assume that the total cost be x.

As given

Sophia pays $19.99 membership fee for an online music store.

If sophia purchases n songs for $0.99 each .

Than the expression becomes

Total cost = Membership fee + Cost of n songs

x = 19.99 + 0.99n

Here n represented the number of songs.

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3 years ago

Z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =

aleksklad [387]

Answer:

z = 4/3 or 1 1/3

Step-by-step explanation:

z−4/9−1/3=5/9

Change 1/3 to have a denominator of 9

1/3 *3/3 = 3/9

z−4/9−3/9=5/9

Combine like terms

z -7/9 = 5/9

Add 7/9 to each side

z-7/9+7/9 = 5/9+7/9

z = 12/9

z=4/3

or as a mixed number

z = 1 1/3

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2 years ago