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Travka [436]
3 years ago
9

A person who is 5 feet tall is standing 108 feet from the base of a tree, and the tree casts a 120 foot shadow. The persons shad

ow is 12 feet in length. What is the height of the tree?
Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

50ft

Step-by-step explanation:

let x=height of tree.

AB/DE = BC/EC

The ratio is == x/5 =120/12

x/5 = 10

x = 50

Height of tree is 50 ft.

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The area of the large rectangle is twice the area of the small rectangle. What is the value of x?Two rectangles are shown. The l
kupik [55]

Answer:

B. 8 cm.

Step-by-step explanation:

The area of a rectangle is the length*width.

The area of the larger rectangle is 4*12=48.

The area of the smaller rectangle is 3*x=3x.

If the larger rectangle's area is twice that of the smaller rectangle, then we can say 48=2*3x.

Let's solve for x

48=2*3x

48=6x

x=8

3 0
2 years ago
Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5),
Arlecino [84]

Answer:

W1 =  ( -75, 20, 1 , 0 )

W2 = ( 25, -7 , 0, 1 )

Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

-x2 + 20x3 -7x4 = 0         note: x3 and x4 are free variables

we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

∴ x1 - 28 + 3 = 0 = x1 = 25

W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )

now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

7 0
2 years ago
A football is kicked upward from a height of 6 feet with an initial speed of 70 feet per second. Use the formula to find the bal
Eddi Din [679]
70 ft per sec going upward 3 sec from 6 ft high should reach 216 ft, but unfortunately gravity is pulling it and at some point it starts to go backward (at 2.176 second), so to compensate the upward slowing down and distance dropped, use -32.176 times 3 square times 1/2 = -144.792 which is the natural drop distance if the football is released mid air without a initial speed after 3 seconds. 216 - 144.792 = 71.208 ft high.
4 0
3 years ago
Which is an equation in point-slope form for the given point and slope? point (8, -4) ; slope -5/6?
HACTEHA [7]
-5/6=(8,4)(x,y)
-5/6=y-4/x-8
6y-24=-5x+40
6y=-5x/6+64/6
Y=-5x/6+64/6
5 0
3 years ago
Read 2 more answers
33. A competition question requests students to form a three-digit number.
aniked [119]

Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

7 0
3 years ago
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