3 years ago

150% of what number is 600?

1 answer:

6 0

$\frac { 150 }{ 100 } \cdot n=600\\ \\ 150n=60000\\ \\ n=\frac { 60000 }{ 150 } \\ \\ n=400$

Therefore, 150% of 400 is 600.

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A car traveling 118 miles uses 4 gallons of gas. At the rate, how many gallons will it use traveling 227 miles?

sashaice [31]

Answer:

b.7.69

Step-by-step explanation:

188/4=29.5

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227/29.5=7.69

8 0

2 years ago

A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

kramer

Answer:

$97.18^{\circ}$

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

$3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.$