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Alona [7]
3 years ago
8

Hexagon D and hexagon H are regular hexagons. The scale factor from hexagon D to hexagon H is 0.25. One side of hexagon D measur

es 18 cm. What is the length of one side of hexagon H?
Mathematics
2 answers:
Alexus [3.1K]3 years ago
7 0
D/H = 0.25 18/H = 0.25/1 Cross multiply and solve for H
Charra [1.4K]3 years ago
7 0

Answer:

the answer is 4.5 cm

Step-by-step explanation:

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Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0
Zigmanuir [339]

Answer:

the system of equation has infinite solution

Step-by-step explanation:

5x_1 + x_2 = 0 , 25x_1 + 5x_2 = 0

Solve the first equation for x_2

Subtract 5x1 on both sides

5x_1 + x_2 = 0

x_2 =-5x_1

Now substitute -5x1 on second equation

25x_1 + 5x_2 = 0

25x_1 + 5(-5x_1)= 0

25x_1-25x_1= 0

0=0

So the system of equation has infinite solution

5 0
3 years ago
Read 2 more answers
The rising cost of nursing homes is forcing families to plan ahead. Nursing home costs have risen roughly 20% in 3 years, to an
elena-s [515]

Answer: the cost of nursing home care 3 years ago was $37,000

Step-by-step explanation:

$46,000 x 20%=

$46,000 x 20/100= $9,200

$46,000 - $9,200 = $36,800

8 0
3 years ago
A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the
babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the  first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.

3 0
2 years ago
How many palindromes of length 5 can you form using letters with the following properties: they start with a consonant, and the
Zielflug [23.3K]

Answer:

  2100

Step-by-step explanation:

There are 21 consonants that can serve as the first and last letters. There are 5 vowels that can serve as the 2nd and 4th letters. There are 20 remaining consonants that can serve as the 3rd letter. (The same consonant cannot appear in all three places.)

So, the total number of 5-letter palindromes that start with a consonant and alternate with a vowel will be ...

  21×5×20 = 2100 . . . different palindromes

6 0
3 years ago
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