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k0ka [10]
2 years ago
10

Find the area and the perimeter of a quadrant of a circle with radius 4m correct to 3 significant figures

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0
Area of a quarter circle = 1/4 * pi * r^2

 = 1/4 * pi * 4^2    =   12.6 m  to 3 sig figs.

perimeter = 4 + 4 + 1/4 * 2 pi * 4 =  14.3 to 3 sig figs.

 

















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Gnesinka [82]
The answer is 17 1/4 .Hope this helped.
4 0
2 years ago
Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a
salantis [7]

Answer:

A = 640000\,yd^{2}

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

A (x,y) = x\cdot y

3200\,yd = 2\cdot (x+y)

After some algebraic manipulation, area expression can be reduce to an one-variable form:

y = 1600 -x

A (x) = x\cdot (1600-x)

The first derivative of the previous equation is:

\frac{dA}{dx}= 1600-2\cdot x

Let the expression be equalized to zero:

1600-2\cdot x=0

x = 800

The second derivative is:

\frac{d^{2}A}{dx^{2}} = -2

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

y = 800

The maximum area is:

A = (800\,yd)\cdot (800\,yd)

A = 640000\,yd^{2}

8 0
3 years ago
Read 2 more answers
Determine the equation of the line that is perpendicular to the line y = 3x + 4 and passes through the point (6, 2).
fomenos

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines: Their gradients are reciprocals.

This means:

  • -1 ÷ Gradient 1 = Gradient 2
  • Gradient 1 * Gradient 2 = -1

Gradient of the given equation is 3.

-1 / 3 = -1/3

Gradient of the equation we're finding is -1/3

y = -1/3x + c

Substitute the coordinates in to find the value of c

2 = -1/3(6) + c

2 = -2 + c

2 + 2 = c

4 = c

y = -1/3x + 4

3 0
2 years ago
HELP ME WILL MARK YOU AS BRAINLIEST IF CORRECT
Verdich [7]

Answer:

C. (-3, 2, -1)

Step-by-step explanation:

There are two types of matrices. One is REF and the other is what makes REF simpler--RREF. We use RREF to solve for REF because it makes the solution easy to find. RREF is displayed in your problem... it means that it's already solved, so the answers are already given on the right side, which is -3,2,-1. This only works with the combination provided (with the 0s and 1s). Otherwise, you'd have to solve.

6 0
3 years ago
1. 4/5 - 1/6<br> 2. 3/10 - (-1/4)<br> 3. -2/3 + (3/4 + 5/3)
Sauron [17]
1. Answer: 19/30 or 0.63
2. Answer: 11/20 or 0.55
3. Answer: 7/4 or 1 3/4 or 1.75
3 0
2 years ago
Read 2 more answers
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