Identify the GCF of 36 and 24 6 12 2 8

Mathematics

1 answer:

PolarNik [594]3 years ago

6 0

Answer:

12...you already figured it out but alr

Step-by-step explanation:

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Sarah sights the top of the statue of the liberty at an angle of elevation of 61 degrees. If Sarah is 5.5 feet tall and is stand

Goryan [66]

Angle of elevation= 61°
Height of Sarah =h = 5.5ft
Distance(from base of statue) between Sarah and statue = 166 ft
Now,
tan(61°)= H/166
H= 299.47 ft
but in the height H you also add the height of of Sarah then you get the height of statue.
Height of <span>statue of the liberty = H+h
= 299.47+5.5
= 304.97 ft</span>

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3 years ago

If f(x) is discontinuous, determine the reason. f(x)= {x^2 +4, x<=1; x+3, x>1}

tester [92]

Answer:

Observe that f(x) is a continuous function when $x1$ because is a polynomial. The possible problem may occur in x=1.

Then, f(x) is discontinuous in x=1 if the limits of f to the right and the left of 1 exist and are different or if some of those limits doesn't exist.

Let's calculate the limits:

$lim_{x\rightarrow 1^+}f(x)=lim_{x\rightarrow 1}(x+3)=1+3=4$

$lim_{x\rightarrow 1^-}f(x)=lim_{x\rightarrow 1^-}(x^2+4)=1^2+4=5$

Since, $lim_{x\rightarrow 1^-}\neq lim_{x\rightarrow 1^+}$ then f(x) is discontinuous in x=1.

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3 years ago

Can someone solve this problem for me? Show me your steps to solve this problem as well.

AveGali [126]

$\bf 3^x=81\qquad 
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^x=3^4\implies x=4$

if their base is the same, the exponents must also be the same for the equation to be true.

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3 years ago

15% of 60 is how much

MaRussiya [10]

9. Because 15% of 60 is 9.

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3 years ago

Read 2 more answers

What are the coordinates of the midpoint of the segment whose endpoints are A (1,6) and B (5,-2)?

Alexandra [31]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad 
B(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})
\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{5+1}{2}~~,~~\cfrac{-2+6}{2} \right)\implies (3~,~2)$

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3 years ago