A 2 year old boy has 6 sisters. (a) How many sisters did he
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Given:
Dimensions of a tank are 50 cm by 32 cm by 20 cm
The tank is full of water and sand
Ratio of volume of water to the volume of sand is 5:1
To find:
Volume of water in the tank in liters
Solution:
Without loss of generality, let,
Length of tank = 50 cm
Breadth of tank = 32 cm
Height of tank = 20 cm
Then, we have,
Total Volume of the tank = Length * Breadth * Height
Total Volume = 50*32*20 cc
Total Volume = 32000 cc
It is given that,
Volume of water : Volume of sand = 5:1
(Volume of water)/(Volume of sand) = 5/1
Cross multiplying, we have,
Volume of sand = (Volume of water)/5
It is also given that the tank is full of water and sand. This implies that,
Volume of water + Volume of sand = Total Volume
Using the value, we obtained, we get,
Volume of water + (Volume of water)/5 = Total Volume
(6 * Volume of water)/5 = Total Volume
Plugging in the value of total volume, we get,
(6 * Volume of water)/5 = 32000 cc
Volume of water =
cc
Volume of water
26,666.6667 cc
We know that,
1 cc = 0.001 liters
26,666.6667 cc = (26666.6667 * 0.001) liters
26,666.6667 cc
26.667 liters
Thus, Volume of water in the tank is approximately 26.667 liters
Final Answer:
Volume of water in the tank (in liters) is approximately 26.667 liters
The value of tangent theta is equal to the negative 1. At this value the value of secant theta is .
<h3>What is tangent theta?</h3>
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
Given information-
The value of tangent theta is equal to the negative 1.
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,
Simplify it further as,
When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of . Which extent to the
for the cosine function.
In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,
Thus the value of secant theta is
Learn more about the tangent theta here;