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Aleks [24]
3 years ago
13

A fencing company charges $22 per foot to install a wood fence. How much will it cost to install a wood fence around a rectangul

ar pool area that is 20 feet wide and 38 feet long?
Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
20+20+38+38=116

116×22 = 2552

It will cost $2,552 to install the wood fence.
You might be interested in
The product of a number and 7, decreased by the number is equal to 42. find the number.
lozanna [386]
Let the number be x.
7x-x=42
6x=42
x=7
the number is 7
7 0
3 years ago
Mr. and Mrs. McClurrie are debating on whether or not to remove a tall tree in their front yard. Mr. McClurrie is concerned that
hichkok12 [17]
Tanα=y/x

y=xtanα, we are told that x=25ft and α=30°

y=25tan30° ft

y≈14.43 ft  (to nearest hundredth of a foot)

Since their home is 20 feet from the base of the tree, it poses no risk right now. 
4 0
3 years ago
MCR3U1 Culminating 2021.pdf
11111nata11111 [884]

Answer:

(a) y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is 607,325

(ii) The population after 24 hours is 1,828,643

(c) The rate of increase of the population as a percentage per hour is 7.132%

(d) The doubling time of the population is approximately, 10.06 hours

Step-by-step explanation:

(a) The initial population of the bacteria, y₁ = a = 350,000

The time the colony grows, t = 12 hours

The final population of bacteria in the colony, y₂ = 800,000

The exponential growth model, can be written as follows;

y = a \cdot (1 + r)^t

Plugging in the values, we get;

800,000 = 350,000 \times (1 + r)^{12}

Therefore;

(1 + r)¹² = 800,000/350,000 = 16/7

12·㏑(1 + r) = ㏑(16/7)

㏑(1 + r) = (㏑(16/7))/12

r = e^((㏑(16/7))/12) - 1 ≈ 0.07132

The  model is therefore;

y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is given as follows;

y = 350,000 × (1 + 0.07132)⁸ ≈ 607,325.82

By rounding down, we have;

The population after 8 hours, y = 607,325

(ii) The population after 24 hours is given as follows;

y = 350,000 × (1 + 0.07132)²⁴ ≈ 1,828,643.92571

By rounding down, we have;

The population after 24 hours, y = 1,828,643

(c) The rate of increase of the population as a percentage per hour =  r × 100

∴   The rate of increase of the population as a percentage = 0.07132 × 100 = 7.132%

(d) The doubling time of the population is the time it takes the population to double, which is given as follows;

Initial population = y

Final population = 2·y

The doubling time of the population is therefore;

2 \cdot y = y \times (1 + 0.07132)^t

Therefore, we have;

2·y/y =2 = (1 + 0.07132)^t

t = ln2/(ln(1 + 0.07132)) ≈ 10.06

The doubling time of the population is approximately, 10.06 hours.

8 0
3 years ago
What is the volume of a cylinder with base radius 2 and height 6
jenyasd209 [6]

Answer:

Volume of the cylinder is 75.43

Step-by-step explanation:

Volume of Cylinder is \pi r^{2} h

where r is base radius = 2 and h is the height = 6

(22/7) × 2² × 6

= (22/7) × 4 × 6

= (22/7) × 24

= 528/7

= 75.43

4 0
3 years ago
Read 2 more answers
-4x+6y=-7<br> -13x-2y=-4 <br> Elimination or substitution
12345 [234]

Answer:

substitution

Step-by-step explanation:

7 0
3 years ago
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