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3 years ago

A rectangle is 6 units by 5 units give its area an perimeter

Mathematics

2 answers:

lbvjy [14]3 years ago

6 0

answer:

area = 30 units²

perimeter = 22 units

step-by-step explanation:

know the formulas
area = l x w
now plug in what we know

6 X 5 = 30 units²

for perimeter, we just have to add all sides

6 + 6 + 5 + 5 = 22 units

Alexxandr [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Perimeter is every side added together soo...

6 + 5+ 6+ 5 =22

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The average cost per unit for the production of a certain brand of DVD is given by C=\frac{500+60c+0.01x^2}{x} , where x is the

Ganezh [65]

Answer:

A: for 500: 66; for 60: 68.9; for 100: 66

B: no

Step-by-step explanation:

We assume your average cost function is ...

$\overline{C}=\dfrac{0.01x^2+60x+500}{x}$

A. The overline over the C indicates it is an average value.

Evaluating the cost function at the different production levels, we find the average cost per unit to be ...

500 units

c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66

60 units

c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93

100 units

c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66

B. Dividing out the fraction, we find that the cost per unit is ...

0.01x +60 +500/x

As x gets large, this approaches the linear function c = 0.01x +60. This increases as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)

7 0

4 years ago

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk

Tcecarenko [31]

Answer:

T(x) = (√(4+x^2))/2 +(c -x)/4
(a) x = 1.155 miles
(b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

time = distance / speed

t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

t2 = (c -x)/4

Then the total time is ...

T(x) = t1 +t2

T(x) = √(4+x²)/2 +(c -x)/4

(a) The value of x that minimizes total time is the one that makes the derivative zero.

T'(x) = x/(2√(4+x²)) -1/4

0 = (2x -√(4+x²))/(4√(4+x²))

√(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

4 +x² = 4x² . . . . . . square both sides

4/3 = x² . . . . . . . . . subtract x², divide by 3

x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

8 0

3 years ago

Find the volume of a right circular cone that has a height of 15.6 cm and a base with a radius of 7.8 cm. Round your answer to t

sergey [27]

Answer:

356.8cm3

Step-by-step explanation:

Volume of a cone= 1/3 * base area * height.

Note: don't be confused by right circular cone ; a cone is gotten from a cylinder by dividing it into three parts. One from the right vertex slanted to the middle of the base; another from the left vertex slanted to the middle of the base and the remaining portion with the surface base at the top.

Going forward; base area =pi * raduis * raduis [ area of a circle; the base is a circle]

Volume= 1/3 * (3.142 * 7.8 * 7.8 *5.6) = 356.83cm3

Volume= 356.8cm3 [ to the nearest tenth].

Tenth means 1/10= 0.1; that is value after the decimal point.

5 0

3 years ago

Read 2 more answers

1 in 4 adults are on a diet. in a random sample of 10 adults, what is the probability that the number on a diet is exactly 4

Tatiana [17]

Answer:

14.6%

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Here, n = 10, r = 4, and p = 1/4.

P = ₁₀C₄ (1/4)⁴ (1−1/4)¹⁰⁻⁴

P = 210 (1/4)⁴ (3/4)⁶

P ≈ 0.146

There is an approximate 14.6% probability that exactly 4 of the 10 adults are on a diet.

4 0

3 years ago

decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. -b b2 - 4ac 2a u

tester [92]

It might be -4ac i'm not sure

5 0

4 years ago

Read 2 more answers