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Anit [1.1K]
3 years ago
11

1) The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

the height of the building is 86.6m

Step-by-step explanation:

In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°

Now we need to find the height of the building

tanθ = Opposite side/Adjacent side

tan 60° = Opp side/Adj side

1.7321 = Opp side/50

1.7321 x 50 = Opp side

Opp side = 50 x 1.7321

Opp side = 86.6 m

Therefore, the height of the building is 86.6m.

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The product of r and 9 divided by<br>2 is equal to twenty-seven. What is<br>the value of r?​
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Step-by-step explanation:

\frac{r \times 9}{2}  = 27 \\  \\  \therefore \: r = 27 \times  \frac{2}{9}  \\  \\ \therefore \: r = 3 \times  2 \\  \\  \huge \red{ \boxed{\therefore \: r = 6}}

3 0
3 years ago
Rectangle J’K’L’M shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied
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The width of a rectangle is 3 units less than the length. the area of the rectangle is 10 units. what is the length, in units, o
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1 year ago
What is the binomial expansion of (2x – 3)^5?
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Answer:

C

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

7 0
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