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USPshnik [31]
3 years ago
7

Please help me on this it a about to be due

Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

sin is opposite/hypotenuse, which is 24/26, simplifying to 12/13

dezoksy [38]3 years ago
3 0

For this case, we have that by definition:

Sin (C) = \frac {24} {26}

That is, the sine of angle C will be given by the leg opposite the angle C divided by the hypotenuse of the traingule.

Sin (C) = \frac {24} {26}

Simplifying:

Sin (C) = \frac {12} {13}

Answer:

Option A

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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif
Mariulka [41]

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

6 0
4 years ago
Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und
zhenek [66]

Answer:

Total distance from Mr. West to dolphin =27\frac{4}{5}\ meters

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean =25 \frac{1}{5} \ meters

Mr. West spot the dolphin under the water at a depth of =  2\frac{3}{5} \ meters

∴ Total distance from Mr. West to dolphin=(25 \frac{1}{5}+2\frac{3}{5})\ meters

Adding mixed numbers

(25 \frac{1}{5}+2\frac{3}{5})

Adding whole numbers first.

=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}

Adding fractions by taking LCD.

=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters

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3 years ago
What is gcf of 24, 60, and 36
maxonik [38]

Answer:

12

Step-by-step explanation:

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4 years ago
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Answer:what are you asking

Step-by-step explanation:

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