<u>Given</u>:
The given monomial expression is 
We need to simplify the given monomial expression.
<u>Simplification:</u>
Let us simplify the given expression.
Dividing the numbers 16 and 4, we get;
Let us apply the exponent rule 
in the above expression.
Thus, we get;
Subtracting the numbers in the numerator of the above expression, we get;
Thus, the simplified expression is
Answer:
About 3.36 feet or about 40.3 inches
Step-by-step explanation:
The tangent ratio tells you ...
Tan = Opposite/Adjacent
In this geometry, we want ...
tan(50°) = (4 ft)/(distance)
Solving for distance gives ...
distance = (4 ft)/tan(50°) ≈ 3.3564 ft ≈ 40.28 in
The steps need to start about 3.36 feet, or about 40.3 inches, out from the house.
Answer:
10
Step-by-step explanation:
2+3=5
5+4=9
the blank in the circle must be more than 10
Answer:
(A)
- Definition of altitude
- c⋅sinA
.
Step-by-step explanation:
<u>Law of Sines/Cosines.</u>
- Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by the (1) <u>definition of altitude</u> making triangle ABD and triangle BCD right triangles.
- Using the trigonometric ratios
and 
.
- Multiplying to isolate x in both equations gives (2)
<u>
</u> and 
- We also know that x = x by the reflexive property.
- By the substitution property,(3).
- Dividing each side of the equation by ac gives:
Answer:
F(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)
f(g(x))= √[{√(x-2)²+3}]
=√[{x-2+3}]
√(x+1)
Step-by-step explanation:
