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alexira [117]
3 years ago
10

A tree makes a shadow that is 14 ft long. Rachel is 6 ft tall. when she id standing near the tree, her shadow is 3.5 ft long. wh

ich statement best explain why rachel can use a proportion to estimate the length of the tree?
Mathematics
1 answer:
ankoles [38]3 years ago
5 0
The triangle that is formed from by connecting the shadow, the tree and the endpoints of each is a right triangle. The two triangles formed (by the tree and its shadow, and by Rachel and her shadow) are similar. In similar triangles, the corresponding sides are proportional. Thus, to give the numerical answer to this item,
                         length  of the tree/14 ft = 6 ft / 3.5 ft
                                  length of the tree = 24 ft
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Which value of kkk makes 5-k+12=165−k+12=165, minus, k, plus, 12, equals, 16 a true statement?
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Answer:

k=1

Step-by-step explanation:

Simplify   1/k

   3     2         1

(((—+2)-(—•k))-4)-(—-2)  = 0

   k     k         k

2.1   Subtracting a whole from a fraction

     2     2 • k

  2 =  —  =  —————

       1       k  

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

1 - (2 • k)     1 - 2k

———————————  =  ——————

    k            k  

Simplify  2/k

3     2        (1-2k)

(((—+2)-(—•k))-4)-——————  = 0

   k     k          k  

Simplify 3/k

 3     2        (1-2k)

(((—+2)-(—•k))-4)-——————  = 0

   k     k          k  

5.1   Adding a whole to a fraction

3                      (1 - 2k)

(((— +  2) -  2) -  4) -  ————————  = 0

   k                         k    

6.1   Subtracting a whole from a fraction

       2     2 • k

  2 =  —  =  —————

       1       k  

7.1   Subtracting a whole from a fraction

3 + 2 • k     2k + 3

—————————  =  ——————

   k           k  

8.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

       2     2 • k

  2 =  —  =  —————

       1       k  

9.1     Pull out like factors :

 2 - 2k  =   -2 • (k - 1)

10.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-2•(k-1)

———————— • k = 0 • k

   k    

Now, on the left hand side, the  k  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

 -2  •  (k-1)  = 0

Equations which are never true:

10.2      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

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10.3      Solve  :    k-1 = 0

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Step-by-step explanation:

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irga5000 [103]

Answer:

Sum = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

Step-by-step explanation:

Given

Decimal = 0.551

Ratio = 1/1000

By repeating the decimal, we can write;

0.551 -bar = 0.551551551.....

0.551551551..... = 0.551 + 0.000551 + 0.000000551 + ....

= 551/1000 + 551/1000000 + 551/1000000000 + ......

= 551/10³ + 551/10^6 + 551/10^9 + .....

= n=0 Σ∝(551/10³)(1/10³)^n

Hence, the infinite geometrc series is Σ(551/10³)(1/10³)^n for n = 0 to

∝

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Let r = 1/1000

r = 1/10³

a = 551/10³

The sum is defined as follows;

a/(1-r)

Sum = 551/10³ / (1 - 1/10³)

Sum = 551/1000 ÷ 999/1000

Sum = 551/999

So, a/b = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

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3 years ago
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