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hjlf
2 years ago
10

"Rewrite Exponential Expressions"

Mathematics
1 answer:
melisa1 [442]2 years ago
5 0
Hope you are able to understand solution :)

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A billboard is 27 feet high and casts a 36-foot shadow at noon. At the same time, a fir tree next to the billboard casts a 48-fo
Archy [21]

Proportion can be used to find the height = 0.75

Step-by-step explanation:

A billboard is 27 feet high and casts a 36-foot shadow at noon.

Height of billboard = 27 feet

Height of shadow of billboard = 36 feet

\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{27}{36}\\\\\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{3}{4}=0.75

A fir tree next to the billboard casts a 48-foot shadow.

Height of shadow of fir tree  = 48 foot

\texttt{Height of shadow of fir tree, H = }\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}\times 48

Proportion can be used to find the height = 0.75

5 0
2 years ago
two buses leave towns 604 mi apart at the same time and travel toward eachother. One bus travels 9 mi/h faster than the other on
muminat

Answer:

s = 71 mph, and s+9 = f = 80 mph

Step-by-step explanation:

The distances the two busses travel add up to 604 mi.

Letting f be the faster speed and s the slower.  Then f = s + 9 (mph).

Then (s + 9)(mph)(4 hr) + (s)(mph)(4 hr) = 604 mi.  Solve this for s:

4s + 36 + 4s = 604 mi, or 8s = 568.  Finally, s = 71 mph, and s+9 = f = 80 mph.


3 0
3 years ago
Dennis has 30 plums and 42 apricots. he wants to put the fruit in bag so that each bag has the same number of like fruit. how ma
kondaur [170]

Solve.

<span>Mr. Madison picked 80 pieces of fruit on Thursday.</span>Add.

<span>042412+ 40<span>80
</span></span>
5 0
3 years ago
Simplify quantity 1 minus cosine squared theta divided by sine squared theta..
Ulleksa [173]
For this case we have the following fraction:
 (1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
 We must take into account the following trigonometric identity:
 cos ^ 2 (θ) + sin ^ 2 (θ) = 1
 Therefore rewriting we have:
 sin ^ 2 (θ) = 1 - cos ^ 2 (θ)
 Substituting in the given fraction we have:
 (1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
 = (sin ^ 2 (θ)) / (sin ^ 2 (θ))
 = 1
 Answer:
 
1
4 0
3 years ago
PLEASE HURRY!
aivan3 [116]

Answer:the second one is the answer

Step-by-step explanation:trust me

6 0
3 years ago
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