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yKpoI14uk [10]
3 years ago
13

Can someone help me with these two

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

Answer: I believe it is D..

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A person that is 5 feet tall casts a shadow 25 feet long. How long is the shadow of a tree that is 15 feet tall?
fiasKO [112]
The person and his shadow make a right triangle as well as the tree and it's shadow. they will be similar right triangles containing angles that are equal. I'm in similar triangles the angles are proportional so a ratio could be used to determine the shadow length. this ratio is:
25/5 = x/15
(Notice that both the height of the person and
the height of the tree height of the tree are on
the bottom because these would be similar
sides and the same for the shadows with both
on top. this could easily have been switched
with the shadows on bottom and heights on
top like:
5/25 = 15/x
however I noticed the 25/5 could easily be
reduced. this eliminated the need for cross
multiplication.)

The 25/5 can be reduced to 5:
5 = x/15
and then multiply both sides by 15 and you get:
x = 75
so the answer is 75 feet long.

this can be checked various ways. using trigonometry we have the opposite and adjacent sides so tangent could be used to find the angle between the shadow and the hypotenuse. this is:
tan (x) = opposite/adjacent
opposite = height
adjacent = shadow
so:
tan (x) = 5/25 for person
tan (x) = 15/75 for tree
these equations both reduce to:
tan (x) = 1/5
And of both equations are the same then the angLee are equal creating similar triangles and a correct answer
4 0
3 years ago
Evaluate the function f(x)=4•7^x for x=-1 and x2 show your work
boyakko [2]
When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
 f (-1) = 4 * 7 ^ -1
 f(-1) = 4* 1/7
 f (-1) = 0.5714
 The next part of the question is not clear. If it refers to the function at x = 2 then:
 f (2) = 4 * 7 ^ (2)
 f(2) =4*49
 f (2) = 196
 If it refers to it in x ^ 2
 f (x ^ 2) = 4 * 7 ^ (x ^ 2)
3 0
3 years ago
The current cost of a typical desktop computer is $745. The cost in year 1983 was $1,445 with fewer capabilities. What is the CP
Fantom [35]
$ 700. seria 
la respuesta
7 0
3 years ago
A plane travels 990 miles to London and back. the trip there was with the wind.it took 10 hours.the trip back was into the wind.
tino4ka555 [31]

Answer:

C.

Step-by-step explanation:

pretty positive! :) hope it helps you

7 0
3 years ago
Read 2 more answers
The vertex of -5(x+2)^2-6
4vir4ik [10]

Answer:

(0,6).  

Step-by-step explanation:

Consider the standardised form of y=ax2+bx+c. Written as y=a(x2+bax)+c. xvertex=(−12)×ba → (−12)×0−1=0.

Mark me brainliest

7 0
2 years ago
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