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Lera25 [3.4K]
2 years ago
8

A fence is being built around the local park in order to ensure the safety of children as they play. The rectangular park is 15

meters long and 10 meters wide. The builders need to determine how much fencing is needed. To figure this out, the builders need to find the of the park. The builders need meters of fencing.
Mathematics
2 answers:
vladimir2022 [97]2 years ago
6 0

Answer:

1. perimeter

2. 50

Step-by-step explanation:

aleksley [76]2 years ago
3 0

Answer:

perimeter abd 50!

Step-by-step explanation:

its correct on edge!

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Shtirlitz [24]
B. Each game lasts 30 minutes 

all you care about is how many teams you can form

3 0
3 years ago
Several ordered pairs from a continuous exponential function are shown in the table.
Sunny_sXe [5.5K]

Answer:

The domain is {x : x ∈ R} , the range is {y : y > 0}

Step-by-step explanation:

* Lets explain how to solve the problem

- The general form of the continuous exponential function is

  y=a(e)^{kx} where a is the initial value and k is the growth factor

- We have some ordered pairs from the continuous exponential

  function

- The ordered pairs are:

  (0 , 4) , (1 , 5) , (2 , 6.25) , (3 , 7.8125)

- Lets substitute the values of x and y in the equation to find a , e^{k}

∵ y=a(e)^{kx}

∵ x = 0 and y = 4 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ 4=a(e)^{k(0)}

∴ 4=a(e)^{0}

- The value of e^{0} = 1

∴ a = 4

- Substitute the value of a in the equation

∴ y=4(e)^{kx}

∵ x = 1 and y = 5 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ 5=4(e)^{k(1)}

∴ 5=4(e)^{k}

- Divide both sides by 4

∴ e^{k} = 1.25

- Substitute the value of e^{k} in the equation

∴ y=4(1.25)^{x}

- The domain of the function is all the values of x which make the

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- The range is the values of y corresponding to x

∵ There is no value of x makes the function undefined

∴ <u><em>The domain is all real numbers</em></u>

∵ y never takes a negative value

∴ <u><em>The range is all the real positive numbers</em></u>

* <em>The domain is {x : x ∈ R} , the range is {y : y > 0}</em>

4 0
2 years ago
Read 2 more answers
areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,
maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

5 0
3 years ago
1*5*665*5665*5545*5665
sergiy2304 [10]

Answer:

thats long just use calcukator

5 0
3 years ago
Identify the vertex of the function, F(x) =3(x-1)2 + 5.
agasfer [191]

Answer:

f

(

x

)

=

3

(

x

−

1

)

2

+

5

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

3

h

=

1

k

=

5

Find the vertex

(

h

,

k

)

.

(

1

,

5

)

image of graph

8 0
2 years ago
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