3 years ago

Mr. Adams drove his delivery truck 151.2 miles during 24 days. He drove the same number of miles each day.

Mathematics

1 answer:

anygoal [31]3 years ago

8 0

Divide total miles by number of days:

151.2 / 24 = 6.3 miles per day

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Prove the identity (sin6x)/(1+cos6x)=tan3x.

Vikentia [17]

Use double angle identity
$sin(2x) = 2 sin x cos x \\ \\ cos(2x) = 2cos^2 x - 1$

We can relate '6x' to '3x' in the same way since 6 is 2*3.
$sin(6x) = 2 sin (3x) cos (3x) \\ \\ cos(6x) = 2cos^2 (3x) - 1$

Now sub into left side of identity. Simplify until it equals right side.
$\frac{2 sin(3x) cos(3x)}{1+(2cos^2 (3x) -1)} = \frac{2 sin(3x) cos(3x)}{2cos^2 (3x) } = \frac{sin(3x)}{cos(3x)} = tan (3x)$

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4 years ago

A triangle in Quadrant II is going to be reflected over the y-axis. Which of the following is a true statement? *

bazaltina [42]

Answer:

Step-by-step explanation:

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3 years ago

Evaluate the expression when x= -8.5 and y= 1.9. 2y-x

Alex787 [66]

2(1.9) - - 8.5
2(1.9)=3.8
3.8 - - 8.5
2 minus’s equal a plus
3.8+8.5
ANSWER = 12.3

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