sin 45 = opp/hyp
sin 45 = 4 / y
y = 4/sin 45
y = 4 /((sqrt2)/2)=4* sqrt(2)
tan 45 =opp/adj
tan 45 = 4/(x-3)
1 = 4/(x-3)
x-3 = 4
x=7
B
9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
_____
<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
The answer:
we observe that <span>m∠DBC = 130°
</span><span>
we should find the value of </span>mEDB to answer this question
Angle ABC is a straight angle, so m ABC= 180°, but
mABD + <span>m∠DBC = 180° (look at the figure)
</span>
so mABD= 180° - m∠DBC = 180 - 130 = 50°
therefore, mABD= 50°,
and BE bisects ∠ABD imiplies mEBA = mEDB, and mABD= mEBA + mEDB= 50°, it does mean 2x mEBA = 50°
and from where mEBA = 50°/2=25°
A- Number of Sunlight (per year)
Answer:
The inner function is 
and the outer function is 
.
The derivative of the function is 
.
Step-by-step explanation:
A composite function can be written as 
, where 
and 
are basic functions.
For the function 
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have 
inside parentheses. So is the inner function and the outer function is .
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function is the composition, , of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .
