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Zarrin [17]
3 years ago
14

A ramp has an angle of inclination of 20 degrees. it has a vertical height of 1.8 m. what is the length, l metres, of the ramp?

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0
Sin 20 = 1.8/hypotenuse
hypotenuse = 1.8 / sin 30 = 2.34 m
answer: 2.34m
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HURRICANES A category 3 hurricane reaches speeds up to 20.88 kilometers per hour. The distance from Cuba to Key West is 145 kilo
White raven [17]
Let us assume that the time taken by the category 3 hurricane to travel from Cuba to Key West = X minutes
Speed of the category 3 hurricane is given as 20.88 km/hr
So the category 3 hurricane can travel 20.88 km in 1 hour.
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Then
20.88 km is travelled by the category 3 hurricane in = 60 minutes
145 km from Cuba to Key west is travelled by the category 3 hurricane in = X minutes
So,
X = [(145 * 60)/20.88] minutes
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Time taken by the category 3 hurricane to reach Key West from Cuba is 17 hours and 36 minutes.
8 0
3 years ago
Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location
Gennadij [26K]
First we will convert those radian angles to degrees, since my mind works better with degrees.  Let's work one at a time.  First, \frac{7 \pi }{4} * \frac{180}{ \pi }=315.  If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis.  The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2.  The cotangent of this angle, then is 1/-1 which is -1.  As for the second one, converting radians to degrees gives us that \frac{13 \pi }{6} * \frac{180}{ \pi } =390.  Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis.  The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2.  Therefore, the secant  of that angle is 2/√3.
3 0
3 years ago
Factor out the coefficient of the variable -3.6m + 10.8
MA_775_DIABLO [31]

Answer: -1

Step-by-step explanation: First, factor out 3.6. You should get -m+3. Since the coefficient is just the number being multiplied to the variable (which is m here), your coefficient should be -1 because m is being multiplied to -1 to make -m. Hope this helps!

3 0
3 years ago
How do you solve special right triangles with 45-45-90
expeople1 [14]
By doing by over 2 it will equal yeah
3 0
2 years ago
Finished the first one don´t understand these.
Mashutka [201]

Answer:

Let "x" be the number of people who can go to the amusement park.

So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.

Solving this inequality, we get:

19 + 14x ≤ 180

14x ≤ 161

x ≤ 11.5

Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11

Hope this helps!

4 0
2 years ago
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