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erik [133]
2 years ago
9

Answer the questions below.

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
5 0

Answer:

(a) 85m

(b) 61cm

Step-by-step explanation:

(a) We know that the formula for the perimeter of a rectangle is 2(a+b), where a is the length and b is the width, or vice versa. So for this garden, 2(a+68)=306\\a+68=153\\a=85(m)

(b) We know that the formula for the area of a rectangle is L*W, where L is the length and W is the width. Note that these values are interchangeable, e.g. 2*3=3*2=6. So for this window,

84*W=5124\\W=61(cm)

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A gardener is planting two types of trees: Type A is 9 feet tall and grows at a rate of 6 inches per year. Type B is 6 feet tall
xenn [34]

It will take exactly 3 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees

  • Type A is 9 feet tall and grows at a rate of 6 inches per year.
  • Type B is 6 feet tall and grows at a rate of 18 inches per year.

We need to find exactly how many years it will take for these trees to be the same height

To solve this problem let us make an equation of each type and then equate the two equations to find the number of years

Assume that the two types will have the same heights in x years

∵ Type A is 9 feet tall and grows at a rate of 6 inches per year

- Change the feet to inches

∵ 1 foot = 12 inches

∴ 9 feet = 9 × 12 = 108 inches

The height of the tree after x years is the sum of the initial height and the product of the rate of growth and the number of years

∵ The rate of growth = 6 inches per year

∵ The number of years = x

∵ The initial height = 108 inches

∴ The height of tree A = 108 + 6 x

∵ Type B is 6 feet tall and grows at a rate of 18 inches per year

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∵ The rate of growth = 18 inches per year

∵ The number of years = x

∵ The initial height = 72 inches

∴ The height of tree B = 72 + 18 x

Now equate the two equations to find x

∵ 72 + 18 x = 108 + 6 x

- Subtract 72 from both sides

∴ 18 x = 36 + 6 x

- Subtract 6 x from both sides

∴ 12 x = 36

- Divide both sides by 12

∴ x = 3

It will take exactly 3 years for these trees to be the same height

Learn more:

You can learn more about the linear equations in brainly.com/question/9801816

#LearnwithBrainly

4 0
3 years ago
the center of a clock is at (0.0) in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinate
elena-s [515]

Step-by-step explanation:

10:44 because I know it's that time

8 0
3 years ago
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the n
olga55 [171]

Answer:

The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.

8 0
3 years ago
Match the equation with its graph 15x -12y=60
IgorLugansk [536]

Answer:

Check the attached graph for correct match.

Step-by-step explanation:

Graph of the given choices are not given but we can still solve this problem.

Given equation is  15x-12y=60.

Which is linear equation so we need at least two points to get the graph.

We are free to select any random number of x then plug that into given equation to find other variable.

Let's use x=0

15x-12y=60

15*0-12y=60

0-12y=60

-12y=60

divide both sides by -12

y=-5

Hence point is (0,-5)

Similarly plug y=0

15x-12y=60

15x-12*0=60

15x-0=60

15x=60

divide both sides by 15

x=4

Hence point is (4,0)

Now graph both points then join them by a straight line.

Any graph given in the choices which match with attached graph will be the answer.

Check the attached graph for correct match.

6 0
3 years ago
Which is bigger 2/5 or 4/9
Jlenok [28]
The easiest way to solve this comparison without any unusual comparisons is to find a common denominator for the two fractions.

2/5 = 18/45
4/9 = 20/45

Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5
6 0
3 years ago
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