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vaieri [72.5K]
3 years ago
10

the cookie sprinkle lady,neon, is very busy each fall making sprinkles for Halloween cookies. Neon needs to know how many sprink

les to make Krogies. there are 103 stores in Michigan. Each store expects to sell 150 cases of cookies. There are 12 boxes in a case and there are four containers of cookies per box. How many sprinkles must be made for all of the Michigan Krogies stores?
Mathematics
2 answers:
Crazy boy [7]3 years ago
4 0
How many sprinkles on a cookie
antiseptic1488 [7]3 years ago
3 0

She needs to make 185,400 sprinkles

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If θ is an angle in standard position that terminates in Quadrant III such that tanθ = 5/12, then sinθ/2 = _____
babunello [35]

Answer:

sin θ/2=5√26/26=0.196

Step-by-step explanation:

θ ∈(π,3π/2)

such that

θ/2 ∈(π/2,3π/4)

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0<sin θ/2<1, and

-1<cos θ/2<0

tan θ/2=sin  θ/2/cos θ/2

such that

tan θ/2<0

Let

t=tan θ/2

t<0

By the double angle identity for tangents

2 tan θ/2/1-(tanθ /2)^2  = tanθ

2t/1-t^2=5/12

24t=5 - 5t^2

Solve this quadratic equation for t :

t1=1/5 and

t2= -5

Discard t1 because t is not smaller than 0

Let s= sin θ/2

0<s<1.

By the definition of tangents.

tan θ/2= sin θ/2/ cos θ/2

Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.

cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2

Solve for s.

s/-√1-s^2 = -5

s^2=25(1-s^2)

s=√25/26 = 5√26/26

Therefore

sin θ/2=5√26/26=0.196....

7 0
3 years ago
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B) \sqrt{1.8^{2}+2.4^{2}}=3

C)\sqrt{3^{2}+8^{2}}=8.54

D)\sqrt{5^{2}+7^{2}}=8.6

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A box of cereal states that there are 87 calories in a 3/4 ​-cup serving. What is the unit rate for calories per​ cup? How many
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