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Rina8888 [55]
3 years ago
11

the height of an object varies directly with the length of its shadow. a person 6ft tall casts a 8.5ft shadow, while a tree cast

s a 38ft shadow. how tall is the tree
Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

The answer to your question is   Tree's height = 26.8 ft  

Step-by-step explanation:

Data

Person                         Tree

height = 6 ft                 height = x

shadow = 8.5 ft            shadow = 38 ft

Process

1.- Use the Thales' theorem to solve this problem

   Person's height/ Person's shadow = Tree´s height / Tree's shadow

Solve for Tree's height

   Tree's height = Person's height x Tree's shadow / Person's shadow

Substitution

   Tree's height = 6 x 38 / 8.5

Simplification

   Tree's height = 228 / 8.5

Result

    Tree's height = 26.8 ft  

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2 1/2 divided by 1 5/8? I forgot how to divide fractions and simplify them....please help
nlexa [21]
2\frac{1}{2}:1\frac{5}{8}=\frac{2\times2+1}{2}:\frac{1\times8+5}{8}=\frac{5}{2}:\frac{13}{8}=\frac{5}{\not2_1}\times\frac{\not8^4}{13}=\frac{5}{1}\times\frac{4}{13}=\frac{5\times4}{1\times13}=\frac{20}{13}=1\frac{7}{13}
3 0
3 years ago
Read 2 more answers
The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o
katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

7 0
3 years ago
List the angles in triangle QRS from smallest to largest.
schepotkina [342]

Answer:

angle R

Step-by-step explanation:

To solve this we will use cosine rule

Cosine rule

cos(A) = \frac{b^{2}+c^{2}-a^{2}}{2bc}

suppose,

q = 6.25

s = 11.04

r = 13.19

angleQ = cos^{-1}(\frac{13.19^{2}+11.04^{2}-6.52^{2}}{2(13.19)(11.04)})

            = 30.58

angleR = cos^{-1}(\frac{6.52^{2}+11.04^{2}-13.19^{2}}{2(6.52)(11.04)})

            = 93.82

angleS =  cos^{-1}(\frac{6.52^{2}+13.19^{2}-11.04^{2}}{2(6.52)(13.19)})

            = 56.63

4 0
3 years ago
You are doing some gardening! You have 3/4 ton of mulch to divide evenly among 5 flower beds. How much mulch will each flower be
Elina [12.6K]
3/20T of mulch. Each Flower bed will contain 3/20 tons of mulch
4 0
2 years ago
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Figure CDEF is a parallelogram.
Salsk061 [2.6K]
We see that CF and DE are parallel to each other, which means that they had the same length with each other, so:
6n-1=5n+9
Subtract 5n for both side
6n-1-5n=5n+9-5n
n-1=9
Add 1 for both side
n-1+1=9+1
n=10
CF=
6n-1
=6(10)-1
=60-1
=59
DE=
5n+9
=5(10)+9
=50+9
=59
CD/FE:
4n+2
=4(10)+2
=42
True/False:
n=10 True
n=7 False
CF=59 True
FE=42 True
CD=30 False. As a result, n=10;CF=59; and FE=42 is your final answer. Hope it help!
3 0
3 years ago
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