Answer:
30/169
Step-by-step explanation:
We need to know how many marbles in the bag
6 red marbles + 2 white marbles + 5 blue marbles = 13 marbles
P (red) = red / total = 6/13
We then put the marble bad so there are still 13 marbles in the bag
P(blue) = blue /total = 5/13
P (red then blue ) = P(red) *P(blue)
= 6/13 * 5/13 = 30/169
Subtract what has already been loaded from total amount allowed:
23500 - 9700 = 13,800
Divide the amount left by the weight of each crate:
13,800 / 70 = 197.14
They can load 197 crates.
Given:


To find:
The quadrant in which
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only
and
are positive.
In Quadrant III, only
and
are positive.
In Quadrant IV, only
and
are positive.
We have,


Here,
is negative and
is also negative. It is possible, if
lies in the Quadrant IV.
Therefore, the correct option is D.
Step-by-step explanation:

The length of the shadow is 14.2 m
Right angle triangle:
Right angle triangle has one of its sides as 90 degrees.
The height of the building is the opposite side of the triangle.
The distance from the top of the building to the tip of the shadow is 35 m is the hypotenuse side.
The length of the shadow is the adjacent side of the triangle.
Therefore,
c² = a² + b²
b² = 35² - 32²
b² = 1225 - 1024
b² = 201
b = √201
b = 14.17
b = 14.2 m
Hence the length of the shadow is 14.2 m.
learn more about right triangle here:
brainly.com/question/4278699
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