Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :
Therefore :
(a) the equation of the line in point - slope form is
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give :
(c) the equation of line in standard form is ;
Answer:
Step-by-step explanation:
Given that there are 3 events as
rolling 3 dice, are the events A: sum divisible by 3 and B: sum divisible 5
The sample space will have
(1,1,1)...(6,6,6)
Sum will start with 3 and end with 18
Sum divisible by 3 are 3,6,9..18
Sum divisible by 5 are 5,10,....15
The common element is 15
Hence these two events are not mutually exclusive.
Answer:
1. 73.2
2. 90
3. 80
4. 80
Step-by-step explanation:
you will have to divide 3,600 by 50
STEP-BY-STEP SOLUTION:
( x + 4 )^2 + y^2 = 22
x^2 + 2 × x × 4 + 4^2 + y^2 = 22
x^2 + 8x + 16 + y^2 = 22
y^2 = 22 - x^2 - 8x - 16
y^2 = - x^2 - 8x + 6
FINAL ANSWER:
Therefore, the answer is:
D. y^2 = - x^2 - 8x + 6
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