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SashulF [63]
2 years ago
17

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the

length of one side of the sandbox? 5y – 9 inches 5y4 – 9x3 inches 7y – 13 inches 7y4 – 13x3 inches
Mathematics
2 answers:
77julia77 [94]2 years ago
9 0

Answer:

Option (4) is correct.

The length of one side of the sandbox is  7y^4-13x^3  inches.

Step-by-step explanation:

Given :  Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y^4-65x^3 inches.  

We have to find the length of one side of the sandbox.

Since, given sandbox is in shape of a regular pentagon.

So, Perimeter of pentagon is 5 times sides.

Perimeter of pentagon = 5 × sides

Given Perimeter is 35y^4-65x^3 inches.  

Thus, 35y^4-65x^3 = 5 × sides

Divide both side by 5, we get,

7y^4-13x^3 = sides

Thus, The length of one side of the sandbox is  7y^4-13x^3  inches.

PIT_PIT [208]2 years ago
8 0
From the choices above the answer would be: D 7y^4-13x^3 inches
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Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......
MakcuM [25]
Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

S_n= \frac{a_1(1-r^n)}{1-r}

common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term

S_8= \frac{-5(1-(-3)^8)}{1-(-3)}
S_8= \frac{-5(1-6561)}{1+3}
S_8= \frac{-5(-6560)}{4}
S_8= \frac{32800}{4}
S_8= 8200


the sum is 8200
7 0
1 year ago
The graph shows the distance Kendrick walks in different lengths of time.
Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0
2 years ago
Read 2 more answers
A deli has a special one-day event to celebrate its anniversary. On the day of the event, every eighth customer receives a free
enyata [817]

Answer:

the number of common customers are 8 in number

4 0
2 years ago
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Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 year
s2008m [1.1K]

Answer: ₱40,909.1

Step-by-step explanation:

Given data:

Rate for first year = 4%

Rate for next two years = 6%

Rate for the next 3 years = 7.5%

Interest paid back after 5years = ₱ 15,750

Solution:

How much did she borrow.

= let the sum borrowed be P

= P * 4 / 100

= 4P/100

= 1P/25.

For the next two years

= P* 6 * 2/100

= 12P/100

= 3P/25

For the next 3years

= P* 7.5*3/100

= 22.5P/100

= 9P/40.

1P/25 + 3P/25 + 9P/40 = 15750

77P/200 = 15750

P = 15750 * 200 / 77

P = 315,0000/77

P = ₱40,909.1

The amount borrowed is ₱40,909.1

5 0
2 years ago
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
butalik [34]
(a) Data with the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57,82], 
Sorted data:  [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean            = 62.875
median         = (60+64)/2 = 62
1st quartile   = (57+58)/2 = 57.5
3rd quartile  = (64+68)/2 =  66
IQR = 66 - 57.5 = 8.5

(b) Data without the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57]
Sorted data:  [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean            = 60.143
median         = 60
1st quartile   = 57
3rd quartile = 64
IQR = 64 -57 = 7

Answers:
1. The average is the same with or without the 8th day's data.  FALSE
2. The median is the same with or without the 8th day's data.  FALSE
3. The IQR decreases when the 8th day is included.                  FALSE
4. The IQR increases when the 8th day is included.                   TRUE
5. The median is higher when the 8th day is included.              TRUE

8 0
2 years ago
Read 2 more answers
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