Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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Because the expressions x and y² varies inversely, the equation that can be used in order to relate them is,
y² = k/x
k here is the constant of proportionality. Using the first set of given, x = 4 and y = 10, we determine the value of the proportionality constant.
k = (x)(y²)
Substitute the known values to the equation,
k = (4)(10²) = 400
The completed equation for the relation is therefore,
y² = 400/x
Substituting the value of y to this equation,
(2²) = 400/x
The value of x is 100.
<em>ANSWER: D. x = 100</em>
Answer:
20 ft
Step-by-step explanation:
The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.
SA = base area + lateral area
SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height
SA -b² = 2bs . . . . . subtract the base area
s = (SA -b²)/(2b) . . . . divide by the coefficient of s
Using the given values for surface area and base length, we find ...
s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet
The slant height of the pyramid is 20 feet.
Answer:
A
Step-by-step explanation:
subract the three on both sides to get 12. then multiple by -2. when multiplying or dividing by negatives you want to flip the sign
Answer:
400 cubic units
Step-by-step explanation:
The volume of a square prism is . Plugging in the given values, you get:
Hope this helps!