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2 years ago

HELP! WILL GIVE BRAINLEST!The graph below shows an angle in standard position. What is the degree measure of the angle depicted?

Mathematics

2 answers:

Tanya [424]2 years ago

6 0

Answer:

45 degree angle

Step-by-step explanation:

Let's say that the line crossing the middle of quadrant four was on the y-axis, that would be known as a 90 degree angle. Since it was cut in half, that would become a 45 degree angle.

Mrac [35]2 years ago

6 0

When measuring an angle rotate counter clockwise starting in Quadrant 1. (see picture)

Every axis you hit is 90 degrees.

In the graph the line has rotated through 3.5 quadrants.

90’ x 3.5 = 315’ or option 3.

Please award Brainliest and great luck with your studies!

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We are given all the pieces but need to convert mph to ft/s to use the formula. Let's do it with 1 mph so that we have a ratio to use. We and solve a unit conversion problem.

$\frac{1mile}{hour} * \frac{hour}{60 minutes} * \frac{minute}{60 seconds} * \frac{5280 feet}{mile} = \frac{5280}{60*60} = \frac{5280}{3600} = 1.46666$

That ratio tells us that 1 mph is 1.466666 ft/s. Now we solve two proportions.

1 mph / 1.466666 feet per second = 60 mph / x feet per second.

1x = (60)(1.466666)

So x = 88 feet per second.

Next, We repeat for 24 mph.

1 mph / 1.46666 feet per second = 24 mph / x feet per second.

1x = (1.4666666)(24)

x = 35.2 feet per second

Now we have the found appropriate V₁ and V₂. V₁ > V₂, so V₁ is 88 ft/s and V₂ is 35.2 ft/s. The problem tells us θ = 2.3 degrees, K₁ = .4 and K₂ = .06. The rest of the problem is calculator work. Start by substituting our degree measure of 2.3 degrees and the given values in the problem for V₁, V₂, K₁, and K₂

$D = \frac{1.05[(88)^{2}-(35.2)^{2}]}{64.4(.4+.06 + (sin 2.3))}$

$D = \frac{1.05[(7744-1239.04]}{64.4(.46 + (sin 2.3))}$

$D = \frac{1.05(6504.96)}{64.4(.46 + 0.04013)}$

$D = \frac{6830.208}{64.4(0.50013)}$

D = 6830.208 / 32.208372

D = 212.0631 = 212 (to the nearest foot)

Thus the car needs 212 feet to stop.

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