What is 4/ 15 divided by 10/ 13
2 answers:
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Answer:
The correct option: (2) Triangle ABC that has angle measures 45°, 45° and 90°.
Step-by-step explanation:
It is provided that a triangle ABC has an acute angle for which the sine and cosine ratios are equal to 1.
Let the acute angle be m∠A.
For the sine and cosine ratio of m∠A to be equal to 1, the value of Sine of m∠A should be same as value of Cosine of m∠A.
The above predicament is possible for only one acute angle, i.e. 45°, since the value of Sin 45° and Cos 45° is,
So for acute angle 45° the ratio of Sin 45° and Cos 45° is:
Hence one of the angles of a triangle is, m∠A = 45°.
Comparing with the options provided the triangle is,
Triangle ABC that has angle measures 45°, 45° and 90°.
Thus, the provided triangle is a right angled isosceles triangle, since it has two similar angles.
<u>Solution-</u>
The atmospheric pressure at sea level = 14.7 lb/in²
Pressure gets reduced by half for each 3.6 miles we move up.
Taking,
x = miles above the sea-level
y = pressure in lb/in²
0 14.7
3.6 7.35
7.2 3.675
10.8 1.8375
It can be observed that both the variables are in inverse proportion as the distance from sea-level increase the pressure decreases.
As only the second graph satisfies the points and inverse proportional condition, so that is the correct graph.
By plotting the graph in excel taking these data set, the following plot was obtained.
