Answer:
Building's shadow length = 180 feet.
Step-by-step explanation:
Given:
A 50-foot flagpole is at the entrance of a building that is 300 feet tall.
Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.
From similar triangle property we can say that.
⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building
Or
Plugging the values in the above equation we have,
Let length of the building shadow ='x' feet
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
feet.
So the length of the building shadow is 180 feet.
The fully factorized version of -x-5 is 
.
What is Factorization?
Usually, factorization or factoring means writing a number (or another mathematical object) as a product of minor or more uncomplicated objects of the same kind.
Given -x-5 is a linear expression.
For factorizing, first, make the coefficient of x positive. For this take -1 common.
⇒ -x-5 = 
Now take the greatest common divisor (gcd) of absolute values of coefficients in x+5.
⇒ gcd(1,5) = 1.
Now take gcd 1 common in the expression.
⇒ 
⇒ .
∴ The fully factorized version of -x-5 is .
Learn more about factorization here:
brainly.com/question/25829061
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As we know :
Dividend = Divisor × Quotient ( taking remainder as 0 )
So, Quotient = Dividend ÷ Divisor
by using the above relation we can say :
therefore, correct option is C. t ÷ 23
Well, that means that it is 3 more than a common multipule of 8,10,12, and 30
find the lcm
8=2*2*2
10=2*5
12=2*2*3
30=2*3*5
lcm=2*2*2*3*5=120
times it by 2 to get it between 200 and 500
240
add 3
243 is da number
Answer:
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
