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Leviafan [203]
3 years ago
11

Find the height of the building below by using your knowledge of trigonometry.

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

50\sqrt{3}

Step-by-step explanation:

The figure represents a 30-60-90 special triangle

in this special right triangle the measure of sides lengths is represented by

a, a\sqrt{3}, and 2a

The side length that sees angle measure 30 is represented by a and here we see a = 50m

The height of the building, which sees angle measure 60, is equal to

50\sqrt{3}

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The net of a pyramid is shown below:
Shalnov [3]

Answer:

Step-by-step explanation:

height of pyramid = √(10²-(5/2)²) = √93.75

volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³

lateral area = 2×5×10 = 100 in²

base area = 5² = 25 in²

surface area = 100+25 = 125 in²

6 0
3 years ago
Solve by factoring x^2 + 8x =9
Helen [10]

Answer:

x=-9,\:x=1

Step-by-step explanation:

x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1

6 0
2 years ago
A teacher surveyed her class about their online accounts
lara [203]

Answer:

\frac{1}{2}

Step-by-step explanation:

Thinking process:

Let the total set be the combination of all the sets as shown

It means that total items = 7 + 14 + 7 + 2

                                         = 30

But the total number of the subsets = 5 + 7+ 2

                                                            = 14

Therefore the probability  = \frac{snap chat}{total }

                                            = \frac{7}{14}

                                            = \frac{1}{2}

6 0
3 years ago
What is the value of f(x) = 36x when x =1/2
ivann1987 [24]
The value of f(x) is 18 because when there is 1/2, think about half (i think like that). so what is the half of 36? 18.
3 0
3 years ago
If f(x)=-4x^2-6x-1 and g(x)=-x^2-5x+3 find (f – g)(x)
sukhopar [10]

f(x)=-4x^2-6x-1\\\\g(x)=-x^2-5x+3\\\\(f-g)(x)=f(x)-g(x)=(-4x^2-6x-1)-(-x^2-5x+3)\\\\=-4x^2-6x-1+x^2+5x-3=(-4x^2+x^2)+(-6x+5x)+(-1-3)\\\\=-3x^2-x-4\to\boxed{B.}

8 0
4 years ago
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