Answer:
b
Step-by-step explanation:
We know that
<span> the highest that this mountain can be is 27849 feet
because this number (27849 feet) rounded </span>to the nearest hundred is 27800 feet, however if the number were 27850 the number rounded to the nearest hundred would be 27900
hence
the answer is
27849 feet
Answer:
A is correct.
Step-by-step explanation:
From the second sentence , we can deduce that the total number of problems is 29.
Now, x represents the number of problems that award 5 marks, while y represents the number of problems that award 2 marks.
Hence x + y = 29.
There are a total of 100 marks. This mean each x has a mark of 5, so total x marks equal 5x. Also, each y has a mark of 2. total y marks equal 2y. Since total marks equal 100. This mean 5x + 2y = 100 which gives our second equation.
This shows A is correct.
Answer:
134 cm^3 empty space
Step-by-step explanation:
The box has a total volume of (12.1)(3.5)(3.5) = 191 cm^3
Each ball has a volume of (4/3)πr³
The ball's diameter is 3.3 cm, so it's radius is (3.3/2) or 1.65 cm
(4/3)(3.14)(1.65)³ = 18.8 cm^3
There are 3 balls, so they occupy 3*18.8 or 56.4 cm^3
Box volume - volume of 3 balls
191 cm^3 - 56.4 cm^3 = 134 cm^3
134 cm^3 is empty space in the box.
The value of 'k' in the quadratic Equation
having one rational solution is k is 8.
<h3>
What is a Quadratic Equation?</h3>
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0. - The standard form of a quadratic equation is
.
Here, the given equation is 
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means 
Therefore,

Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
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