Answer:
Step-by-step explanation:
We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))
here, we need to find:
first we'll rationalize our expression:
this is our simplified expression, now we can apply our limits:
the limit does exists and it is 2.
Just use the order of operations. PEMDAS, parentheses, exponents, multiplication, division, addition and subtraction.
In the first problem 2 + 6*3^2, there are no parentheses, so next would be exponents.
There is an exponent so you do that first.
3^2 = 9
Now we have 2 + 6*9
Multiplication is next and it is in the problem, so we do 6*9 = 54
So now we have 2 + 54 which equals 56.
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
Answer:
Yes, these triangles are congruent
∠E≅∠M
Step-by-step explanation:
Yes, these triangles are similar.
<em>Proof:</em>
Each side in LNM is 
times longer than the sides in GFE
According CPCTC (corresponding parts of congruent triangles are congruent), angle E is similar to angle M.
Hope this helps :)
Have a good day!
I think the answer is mW = 70 degrees
