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Harman [31]
3 years ago
11

How can you use a bar diagram to check the accuracy of the solution to a ratio or rate problem

Mathematics
1 answer:
jeyben [28]3 years ago
3 0
How can you use a bar diagram to check the accuracy of the solution to a ratio or rate problem<span>? ... To see which bar is higher... the higher the bar the soloution if the ratio ... If the ratio of problems she finished to problems she still had left was 8 : 1, how many homework problems did she have total?</span>
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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

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3 years ago
Which is an equation for the line that contains (-1, -2) and has a slope of -5?
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