Answer:
On rationalising,
Combine the fractions,
We know that,
So,
Hence,
On rationalising we got,
Simon offered a customer a cubic box with 3-inch sides. The customer told Simon to increase each side of the box by an inch
1 answer:
Answer:
64
Step-by-step explanation:
The volume of a cubic box with side length of s inches can be calculated using the following formula
If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)
Therefore the final and new volume is
64
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The coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4
<h3>How to determine the point?</h3>The complete question is added as an attachment
The coordinates are given as:
M = 2
J = 18
The ratio is given as:
Ratio = 2 : 3
The location of the point Y is then calculated as:
Y = Ratio * (J - M)
This gives
Y = 2/(2 + 3) * (18 - 2)
Evaluate
Y = 2/5 * 16
This gives
Y = 6.4
Hence, the coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4
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<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite: </u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;
From the given data, the values are , opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;
Multiplying both sides of the equation by 105, we get;
Rounding off to the nearest meter, we get;
Thus, the height of the kite is 70 meters.