Once again co sines . Please help me and include explanation with a clear answer

Mathematics

1 answer:

vladimir1956 [14]3 years ago

8 0

Using the law os cosines formula b^2 = a^2 + c^2 - 2*a*c*cos(B)

a = 17, b = 8, c = 16

8^2 = 17^2 + 16^2 - 2*17*16* cos(B)

64 = 289 + 256 - 544 * cos(B)

544*cos(B) = 289 + 256 - 64

544 * cos(B) = 481

cos (B) = 481/544

B = arccos(481/544)

B = 27.8 degrees

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Tyler made 9 1/2 cups of lemonade. He offers 3/4-cup servings of lemonade to some relatives at a family pinic. What is the GREAT

Savatey [412]

Divide the total portion (9 1/2 cups) by the portion size (3/4 cup).

=9 1/2 ÷ 3/4
convert 9 1/2 to improper fraction

=19/2 ÷ 3/4
to divide fractions, multiply by the reciprocal/inverse of 3/4

=19/2 * 4/3
multiply numerators; multiply denominators

=(19*4)/(2*3)

=76/6

=12.666666

ANSWER: The greatest number he can offer servings to is C) 12

Hope this helps! :)

8 0

2 years ago

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Steve sells half of his comic books and then buys 6 more now he has 14 comic books

ddd [48]

Let b be the initial amount of books. Steve sells half of his books, so the number of Steve's books become

$b \to \dfrac{b}{2}$

Then, he buys 6 more, so the number increases by 6:

$\dfrac{b}{2} \to \dfrac{b}{2}+6$

This number is now 14, so you have

$\dfrac{b}{2}+6 = 14$

Subtract 6 from both sides:

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2 years ago

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Find the amount of sap the maple syrup producer collected from each tree if the total amount (5 gallons) was redistributed equal

Afina-wow [57]

The picture in the attached figure

we know that
total amount of sap =[3*(1/4)+2*(3/8)+4*(5/8)+1*(1)]
total amount of sap =[(3/4)+(6/8)+(20/8)+(1)]
total amount of sap =[(3/4)+(3/4)+(10/4)+(4/4)]
total amount of sap =[20/4]
total amount of sap =5 gallons
total of trees=10

<span>[amount of sap collected from each tree]=total amount of sap/total of trees
</span>
[amount of sap collected from each tree]=5/10----> 0.5 gallons per tree

the answer is
0.5 gallons