Starts out as 27,000 cm^3. then after one hour shrinks to 21,952 cm^3 and then 17,576cm^3 and so on. The ice is losing volume exponentially, there is no set rate. However it seems that you have said yourself it is losing volume at 2cm^3 per hour.
Answer:
the guy wire is 7.211 ft long
Step-by-step explanation:
Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.
Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:
Answer:
Dimension => 10 m × 9.6 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 96 m²
Circumference (C) = 39.2 m
Dimension =.?
Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:
Let L be the Lenght
Let B be the breadth
Area of a rectangle = L × B
96 = L × B ..... (1)
Circumference of rectangle = 2(L + B)
39.2 = 2(L + B) .... (2)
From equation 2, make L the subject
39.2 = 2(L + B)
Divide both side by 2
39.2 /2 = L + B
19.6 = L + B
Rearrange
L = 19.6 – B ....(3)
Substitute the value of L in equation 3 into equation 1
96 = L × B
L = 19.6 – B
96 = (19.6 – B ) × B
Clear bracket
96 = 19.6B – B²
Rearrange
B² – 19.6B + 96 = 0
Solving by factorisation
B² – 10B – 9.6B + 96 = 0
B(B – 10) – 9.6(B – 10) = 0
(B – 9.6)(B – 10) = 0
B – 9.6 = 0 or B – 10 = 0
B = 9.6 or B = 10
Substitute the value of B into equation 3:
L = 19.6 – B
B = 9.6
L = 19.6 – 9.6
L = 10
Or
L = 19.6 – B
B = 10
L = 19.6 – 10
L = 9.6
Since the length is always longer than the breadth,
Length (L) = 10 m
Breadth (B) = 9.6 m
Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:
Length (L) = 10 m
Breadth (B) = 9.6 m
Dimension =?
Dimension = L × B
Dimension = 10 m × 9.6 m
Answer:
a) 200 mm^2
b) 500 mm^2
c) 3.75e + 8
d) 6390 cm^2
e) 650 cm^2
f) 20 m/s
Step-by-step explanation:
For a) and b): 1 cm = 10 mm, multiply 20 (and 50) by 10
For c): the formula is to multiply 1e + 8
For d): 1 Liter = 1000 Cubic Centimeters (hopefully that's what you're referring to)
For e): 10 mm = 1 cm, divide by 10
For f): divide the value by 3.6
PEMDAS is very helpful. Without pemdas, people solve equations differently. For example, 2 + 3 * 2. Using pemdas, we knoow 2 + 3 * 2 = 8
However, without pemdas, someone could do 2 + 3, which is 5, then *2. Which would get 10.
PEMDAS is important to keep order.
