Answer:
6/1 · 11/4 = 66/4 = 16 1/2
-10/3 · (-17/5) = 170/15 = 11 1/3
-9/2 · 26/3 = -234/6 = -39
11/6 · (-9/1) = -99/6 = -16 1/2
Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
Answer:
Using the percentage difference formula you can find the percentage decrease.
SO its
100(new-old/new)
So we solve
10-6=4
4/10= 2/5
2/5*100=200/5
40
40 percent decrease
Answer:
V = 141.37 cm³
Surface area = 150.80 cm²
i. Doubling the radius to 6 cm, while the height remains 5
Step-by-step explanation:
Given that :
Radius, r = 3cm
Height, h = 5cm
Volume , V of right cylinder :
V = πr²h
V = π * 3² * 5
V = 141.37166
V = 141.37 cm³
Surface Area :
2πr(h + r)
2 * π * 3(3 +5)
18.849555(8)
150.79644
= 150.80 cm²
Volume at r = 6 ; h = 5
V = π * 6² * 5
V = 565.48667 cm³
Volume at r = 3 ; h = 15
V = π * 3² * 15
V = 424.11500 cm³
To increase volume,
