For a triangle, there is a proven inequality<span> that states that</span><span>, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side
21 + 37 >= 15
58 >= 15
21 + 15 >= 37
36 >= 37
37 + 15 >= 21
52 >= 21
We can see that the second inequality doesn't comply, thus there is not such triangle.</span>
The height of a falling object can be approximated (assuming no air resistance) by
h(t) = -16t^2 + h0
where h0 is the initial height of the object.
We are given h(5.6) = 0 and are asked to find h0.
0 = -16*5.6^2 + h0
16*5.6^2 = h0
501.76 = h0
<span>The height of the building is about 500 ft.</span>
Answer:
Cost of the first house : $480,000
Cost of the second house : $320,000
Step-by-step explanation:
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
The prices of the house has a ratio of
6:4:3
Sum total = 6 + 4 + 3 = 13
Cheapest house = $240,000
The sum total cost of the 3 houses = x
x is calculated as:
= 3/13 × x =$ 240,000
= 3x = $240,000 × 13
x = $240,000 × 13/3
x = $1,040,000
The Cost of the first house =
6/13 × $1,040,000
= $480,000
Cost of the second house
= 4/13 × $1,040,000
=$320,000
Therefore,
Cost of the first house : $480,000
Cost of the second house : $320,000
A gallon of gas costs $4.0932
Answer:
Step-by-step explanation:
From the question we are told that:
Vertices of hyperbola at
Asymptotes at
Generally the expression for Vertices of hyperbola is mathematically given by
Therefore
Comparing variables
Generally the expression for Asymptotes of hyperbola is mathematically given by
Therefore
Therefore
Generally the equation for Hyperbola of hyperbola is mathematically given by