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2 years ago

Value of x to 3sf area is root 4/2^2 and sides are (x+2) and (2x-3) and angle is 45°

Mathematics

1 answer:

Debora [2.8K]2 years ago

6 0

Answer:

U have done iT correct

Step-by-step explanation:

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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

Kelly lives 2 miles away from school. Harry closer to the school than Kelly. Which could be the distance that harry lives from s

riadik2000 [5.3K]

Answer:

D. 3,461

Step-by-step explanation:

There are 3520 yards in two miles and 3,461 yards is less than 3,520... meaning that he lives closer to the school.

3,461 < 3,520

3 0

3 years ago

You are standing 60 feet from the base of a 20-foot tall flagpole. What is 1

Rasek [7]

Answer: The angle of elevation is 18.4 degrees (Approximately)

Step-by-step explanation: Please refer to the picture attached for more details.

The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.

Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).

Therefore, to calculate angle A;

Tan A = Opposite/Adjacent

Tan A = 20/60

Tan A = 1/3

Tan A = 0.3333

Checking with your calculator or table of values,

A = 18.4349°

Rounded to the nearest tenth,

A ≈ 18.4°

5 0

3 years ago

Let B=[-1 3 6 -3].Find-4B.

vaieri [72.5K]

The product of a scalar and a matrix is found by multiplying each element of the matrix by the scalar. Multiply each element by -4.

... [4 -12 -24 12]

4 0

3 years ago

If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Cl

konstantin123 [22]

Answer:

Step-by-step explanation:

32+14=46

8 0

2 years ago