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Semenov [28]
2 years ago
11

MRS. FARLY WANTS TO BUY A PENCIL FOR EACH OF HER 23 STUDENTS. PENCILS COME IN BOXES OF 5 PENCILS EACH. WHAT IS THE LEAST NUMBER

OF BOXES SHE MUST BUY TO HAVE A PENCIL FOR EACH STUDENT. A. 2, B3, C4, OR D 5
Mathematics
2 answers:
Andreas93 [3]2 years ago
3 0
She needs D.5 because if she wants all the students in her class to have at least 1, she needs to buy 5 to make sure all the students gets a pencil. 5 x 5 = 25.
murzikaleks [220]2 years ago
3 0
D 5..............................................
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Match each value with its formula for ABC.
MariettaO [177]

The solution to the question is:

c is 6 = \sqrt{a^{2} + b^{2}  -2abcosC }

b is 5 = \sqrt{a^{2} + c^{2} -2accosB  }

cosB is 2 = \frac{a^{2} + c^{2} - b^{2}   }{2ac}

a is 4 = \sqrt{b^{2} + c^{2} -2bccosA }

cosA is 3 = \frac{b^{2} + c^{2} -a^{2}   }{2bc}

cosC is 1 = \frac{b^{2}  + a^{2} - c^{2}  }{2ab}

<h3>What is cosine rule?</h3>

it is used to relate the three sides of a triangle with the angle facing one of its sides.

The square of the side facing the included angle is equal to the some of the squares of the other sides and the product of twice the other two sides and the cosine of the included angle.

Analysis:

If c is the side facing the included angle C, then

c^{2} = a^{2} + b^{2} -2ab cos C-----------------1

then c =  \sqrt{a^{2} + b^{2}  -2abcosC }

if b is the side facing the included angle B, then

b^{2} = a^{2} + c^{2} -2accosB-----------------2

b =  \sqrt{a^{2} + c^{2} -2accosB  }

from equation 2, make cosB the subject of equation

2ac cosB =  a^{2} +  c^{2} - b^{2}

cosB =  \frac{a^{2} + c^{2} - b^{2}   }{2ac}

if a is the side facing the included angle A, then

a^{2} = b^{2} + c^{2} -2bccosA--------------------3

a =  \sqrt{b^{2} + c^{2} -2bccosA }

from equation 3, making cosA subject of the equation

2bcosA =  b^{2} +  c^{2}  - a^{2}

cosA =  \frac{b^{2} + c^{2} -a^{2}   }{2bc}

from equation 1, making cos C the subject

2abcosC =  b^{2} + a^{2} -  c^{2}

cos C =  \frac{b^{2}  + a^{2} - c^{2}  }{2ab}

In conclusion,

c is 6 = \sqrt{a^{2} + b^{2}  -2abcosC }

b is 5 = \sqrt{a^{2} + c^{2} -2accosB  }

cosB is 2 = \frac{a^{2} + c^{2} - b^{2}   }{2ac}

a is 4 = \sqrt{b^{2} + c^{2} -2bccosA }

cosA is 3 = \frac{b^{2} + c^{2} -a^{2}   }{2bc}

cosC is 1 = \frac{b^{2}  + a^{2} - c^{2}  }{2ab}

Learn more about cosine rule: brainly.com/question/4372174

$SPJ1

4 0
2 years ago
My teacher gave me the brain teaser and ive been trying to figure it out can someone help she wants me to find 2 answers for it.
Masja [62]
2^5 + (4 + 3 + 1) = 40

((5 x 3) + (4 + 1)) x 2 = 40
7 0
3 years ago
Wht is -3(2x-1)+8=15
Svetllana [295]

Answer:

x=-\frac{2}{3}

Step-by-step explanation:

subtract -3(2x-1)+8=15

          -8    -8

_____________

-3(2x-1)=7

divide

\frac{-3(2x-1)}{-3} =\frac{7}{3}

then simplify

2x-1=\frac{7}{3}

add both sides

2x-1+1=\frac{7}{3}+1

simplify again

2x-1+1=\frac{7}{3}+1=2x=-\frac{4}{3}

divide by 2

2x=-\frac{4}{3}

-2    -2

_________

2x÷2=1

-\frac{4}{6}divided by 2

x=-\frac{2}{3}

5 0
3 years ago
Can someone help me please!!
Reika [66]
Answer:

X = 12

4x + 12 = 5x
subtract 4x on each side and you're left with x=12
3 0
2 years ago
Please help me answer this with the correct answer :)
BartSMP [9]
Pretty sure is 63 degrees since the one next to it is exactly the same and its 63 degrees
7 0
3 years ago
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