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Leni [432]
3 years ago
15

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find t

he height of the building.
Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

26.3 m

Step-by-step explanation:

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building.

We solve the above question using Pythagoras theorem

c² = a² + b²

Where

c = Longest part of the triangle = 37 m

a = Height of the triangle = ?

b = Length of the shadow = 26 m

Hence:

37² = a² + 26²

a² = 37² - 26²

a = √37² - 26²

a = √(693)

a = 26.324893162m

Approximately = 26.3 m

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Orlov [11]
The total value is 6,000
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3 years ago
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53 - 21 + 62 + (25 ÷ 5)
Alisiya [41]

Answer:

48

Step-by-step explanation:

So your equation is: 5y3 - 21 + 6y2 + (25 ÷ 5) and y = 2.

Evaluate for y=2

5(23)−21+6(22)+

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5

5(23)−21+6(22)+

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So the answer is 48.

4 0
3 years ago
(5,1); m=2 write an equation of the line
gtnhenbr [62]
Hey there! :) 

To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.

Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

Simplify.

1 = 10 + b

Subtract 10 from both sides.

1 - 10 = b

Simplify.

-9 = b

So, our y-intercept is 9! 

Now, we can very simply plug our known values into slope-intercept form.

y = mx + b

y = 2x - 9 → final answer

~Hope I helped!~
3 0
2 years ago
For f(x) = x2 + 2x + 3, and g(x) = x2 + 5, Find F(g(2)).
Paraphin [41]

Answer:

f(g(2)) = 102

Step-by-step explanation:

f(x) and f(g(2))

As we can see, we can find g(2) and substitute this value into

f(x)=x² + 2x + 3 instead of x.

g(x) = x² + 5,  g(2) = 2² + 5 = 9

f(x)=x² + 2x + 3

f(9)=9² + 2*9 + 3= 102

5 0
3 years ago
3x + 2y = -10<br> 5x + y = 9
soldier1979 [14.2K]

Answer:

x=4, y=-11. (4, -11).

Step-by-step explanation:

3x+2y=-10

5x+y=9

--------------

3x+2y=-10

-2(5x+y)=-2(9)

--------------------

3x+2y=-10

-10x-2y=-18

-----------------

-7x=-28

7x=28

x=28/7=4

5(4)+y=9

20+y=9

y=9-20=-11

7 0
3 years ago
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