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sukhopar [10]
3 years ago
8

Need help with some inverse trigonometric expressions, rounded to the nearest degree.

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
A Google or Bing search box can be your friend, if you don't have a calculator with inverse trig functions. Most calculators that have trig functions also have the inverse functions, usually after a 2nd or "shift" key. Often, there is a mode setting for degrees or radians.

arcsin(0.33) ≈ 19°
arccos(0.47) ≈ 62°
arctan(1.21) ≈ 50°
arcsin(0.82) ≈ 55°

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The height of a triangle is 4 m less than its base. the area of the triangle is 48m^2 what is thr length of the base
romanna [79]
Base = x
height = x-4
Area = .5 * height * base
48 = .5 * (x-4) * x
96 = x^2 -4x
x^2 -4x -96=0
x = 12
base = 12
height = 8





8 0
3 years ago
A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with g
emmasim [6.3K]

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = \dfrac{25}{2}=12.5\ ft

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = \pi r^2

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = (3.14)(12.5)^2=490.625\ \text{ft}^2

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

4 0
3 years ago
Half a bag of flower seeds can be used to cover an area of 150 square meters. How many square meters can be covered with 14 bags
ohaa [14]

Answer:

2100

Step-by-step explanation:

3 0
3 years ago
Solve the following equation for x. Show each step. <br> 5x + 2 = 3x + 4(2x - 1)
Reptile [31]

Answer:

x=1

Step-by-step explanation:

Start with:

5x+2=3x+4(2x-1)

Distribute the 4 into (2x-1):

5x+2=3x+8x-4

Combine like terms:

5x+2=11x-4

Add 4 to both sides of the equation:

5x+6=11x

Subtract 5x from both sides of the equation:

6=6x

Divide both sides of the equation by the coefficient of x, which is 6:

1=x

or

x=1

6 0
3 years ago
Read 2 more answers
Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr
Marysya12 [62]

Answer:

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

Step-by-step explanation:

Given the following quadratic equation:

x^2 = -11x + 4

The steps to solve it are:

1. Move the terms to one side of the equation:

x^2+11x- 4=0

2. Apply the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac} }{2a}.

In this case we can identify that:

a=1\\b=11\\c=-4

Then, substituting these values into the Quadratic formula we get the following solutions:

x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

3 0
3 years ago
Read 2 more answers
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