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lakkis [162]
3 years ago
11

At 3pm, Mikayla’s shadow was 1.2 meters long. Mikayla is 1.7 meters tall. She measures a tree’s shadow to be 7.5 meters. How tal

l is the tree?
Mathematics
2 answers:
NeX [460]3 years ago
7 0
2.5 meters is the answer
GaryK [48]3 years ago
6 0
1.2 / 1.7 = 7.5 / x
cross multiply
(1.2)(x) = (1.7)(7.5)
1.2x = 12.75
x = 12.75 / 1.2
x = 10.625 meters <==
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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa
Nataly_w [17]

Answer:

The first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

coefficient of x^{2} in the expansion of (2+x - x^{2})^{6} = (240 - 192) = 48

Step-by-step explanation:

(2+x)^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})

= 6_{C_{0}} \times x^{0} \times 2^{6}  + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4} + terms involving higher powers of x

= 64 + 192 \times x^{1} + 240 \times x^{2} + terms involving higher powers of x

so, the first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

Again,

(2+x - x^{2})^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})

Now, by inspection,

the term x^{2} comes from k =5 and k = 6

for k = 5, the coefficient of  x^{2}  is , (-32) \times 6 = -192

for k = 6 , the coefficient of x^{2} is, 6_{C_{2}} \times 2^{4} = 240

so,   coefficient of x^{2} in the final expression = (240 - 192) = 48

3 0
2 years ago
You and two friends share 7 cookies equally. How many cookies do you each get?
Ivahew [28]
4 cookies because three divided by seven equals three hope I helped
5 0
3 years ago
Read 2 more answers
Mr. and mrs.storey drive 3200 miles in all during their vacation. mr.storey drove 3 times as many miles as mrs.storey how many m
vaieri [72.5K]
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
 
the first equation is
y = 3x

second equation
x + y = 3200
then substitute equation 1

x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
5 0
3 years ago
rectangle A has 7 times the area of rectangle B. The width of rectangle A is 1/4 the width of rectangle B. The height of rectang
algol13

Answer:

just do 7 times 1/4 + the 12 thats your answer

Step-by-step explanation:

8 0
3 years ago
What are the coordinates of the vertex of the parabola described by the
ICE Princess25 [194]

Step-by-step explanation:

please type the question properly

3 0
3 years ago
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