The flowers needed to surround a ciruclar garden is 314.
The first step is to determine the cirucmference of the garden. The circumference is the distance round the garden.
Circumference = 2πr
2 x 3.14 x 150 = 942
Now divide the circumference of the garden by 3
942/3 = 314
To learn more about how to determine the circumference of a circle, please check: brainly.com/question/14351152
Answer:
1) The value of x is:
2) The degree for angle 1 is: 59°
3) The degree for Angle 2 is: 121°
Step-by-step explanation:
First we must find x, to do that we must find out what we are given:
m<1 = (2x + 23)°
m<2 = (7x - 5)°
Now we must see if there is any info that can help us find the angles:
Angle 1 and 2 are supplementary.
The word 'supplementary' is very important as it can help us evalute how to set up our problem.
Supplementary means the sum of 2 angles that create a 180°
So our measures will = 180°
(2x + 23) + (7x - 5) = 180°
Now we must try and find the value of x:
1) Remove the parenthesis, and combine like terms:
2x + 7x + 23 - 5 = 180°
9x + 18° = 180°
- 18° = -18°
---------------------
9x = 162°
2) Divide both sides by 2 in order to get 'x' value by itself:
Your value of x is 18.
Now you must substitue the value of x into you measures, to get your angles:
(2x + 23)°
2(18) + 23
36 + 23
= 59°
(7x - 5)°
7(18) - 5
126 - 5
= 121°
Is this statement true? Let's find out!
121° + 59° = ?
= 180°
It is true.
Answer:
Step-by-step explanation:
The point slope form of a line having slope m and point (a,b) is given by :-
Given: A line contains the point = (8, –5)
The slope of the line =
Now, the point slope form of a line having slope and point (8,-5) is given by :-
Hence, the equation of the line =
Answer: The required equation of the line is
Step-by-step explanation: Given that a line contains the point (8, -5) and the slope of the line is {tex]\dfrac{5}{7}.[/tex]
We are to write the equation of the line using point-slope form.
We know that
the equation of a line with slope m and passing through the point (a, b) is given by
For the given line, we have
Therefore, the equation of the line will be
Thus, the required equation of the line is
Answer:
Ken has 1 of his money. He spends 1/5 so he still has 4/5 of the original amount of money. He has 4/5 and he spends $21and ends up with 1/2 of his money. 4/5 = 8/10 and 1/2 = 5/10.This means that $21 is 8/10-5/10 of his original amount of money. so $21 is 3/10 of his original amount of money. 21/3*10=70. His original amount of money is $70. This means that 1/2 of his money is $35. So Ken has $35 left.
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Step-by-step explanation:
Median
Negative
No correlation
Answer:
No correlation
Step-by-step explanation:
With the information provided, we have to conclude there is no correlation, since there is no apparent link between the two information.
It would be a positive correlation for example if we knew that the more apples Juan eats, the more he sleeps (or vice-versa).
It could be a negative correlation if we found that the more apples he eats, the less hours of sleep he has (or vice-versa).
But in this instance, we don't have any data indicating there is any form of correlation between those two numbers.