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kykrilka [37]
3 years ago
14

Please help me out :)

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

The angle between the legs labeled x and y is complementary to the angle with measure 31 degrees, so that angle has measure 90 - 31 = 59 degrees. Then

\sin59^\circ=\dfrac{400}x\implies x=\dfrac{400}{\sin59^\circ}\approx466.7

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Find the answer to each of the fot
stich3 [128]
Answers:
1 is -8
2 is 29
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Hope this answer helps and have a nice day
3 0
3 years ago
You are trying to cast four roles for a play. 12 actors try out, including sir Ian McKellen and Patrick Stewart. the director te
Komok [63]

Answer:

6,840 casts

Step-by-step explanation:

Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

n=\frac{12!}{(12-4!)} -\frac{10!}{(10-4)!}\\n=(12*11*10*9)-(10*9*8*7)\\n=6,840\ casts

There are 6,840 possible casts.

8 0
3 years ago
There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the
Inessa05 [86]

Answer: The teacher will receive 96 pencils

Step-by-step explanation:

1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)

4 0
2 years ago
A jogging track has a length of 1144 yards yd. How long is this in miles mi? First fill in the blank on the left side of the equ
nikdorinn [45]

Answer:

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3 0
2 years ago
Write a polynomial function in standard form with zeros at −3, −1, and 1.
Annette [7]

Answer:

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

f(x) = (x + 3)(x + 1)(x - 1)

We expand the last two factors using difference of two squares.

f(x) = (x + 3)( {x}^{2}  - 1)

f(x) = x ( {x}^{2}  - 1) + 3( {x}^{2}  - 1)

f(x) = {x}^{3}  - x+ 3 {x}^{2}  -3

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

This is the standard form because it is now in decreasing powers of x.

8 0
3 years ago
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