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Shtirlitz [24]
4 years ago
6

Determine the approximate value of θ. A. 38.9 B. 51.1 C. 37.9 D. 52.1

Mathematics
1 answer:
Pepsi [2]4 years ago
8 0

Answer:

Option B. 51.1^o

Step-by-step explanation:

we know that

In the right triangle of the figure

The sine of angle theta is equal to divide the opposite side to angle theta by the hypotenuse

so

sin(\theta)=\frac{DF}{DE}

substitute the given values

sin(\theta)=\frac{7}{9}

using a calculator

\theta=sin^{-1}(\frac{7}{9})=51.1^o

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An equilateral triangle has sides length 6 cm. What is the perimeter?
Vesnalui [34]

Answer:

<em>18cm</em>

Step-by-step explanation:

Perimeter of triangle= a+a+a (side + side+ side)

Perimeter of triangle= 6 cm+6cm+6cm

Perimeter of triangle= 18cm

7 0
3 years ago
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What are the solutions of the equation x4 – 5x2 – 36 = 0? use factoring to solve.
Paul [167]
X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0  - factor the left side
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x + 3 = 0    x - 3 = 0    x^2 + 4 = 0  Set each factor to 0 if any 0 the left side 0
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                                   x = 2i or -2i
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3 years ago
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What is the definition of Standard Deviation?
aleksandrvk [35]

Answer:

b.  Square root of the variance

Step-by-step explanation:

The standard deviation measure how scattered the data of the set is, in other words, measure the dispersion. A low value is found when the points are close to the mean, and when the value is high the data uses a wider range of values. To calculate its value, the simple way, you need the variance because the standard deviation is the square root of the variance.

6 0
3 years ago
Cone, diameter of base 18 ft slant height 14 ft
marissa [1.9K]

Answer:

207π ft²

Step-by-step explanation:

Given in the question,

diameter of the base  = 18 ft

slant height= 14 ft

radius of the base = 18/2

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Formula to calculate the surface area

<h3>A = πrl+πr²</h3>

<em>here l = slant height</em>

<em>         r = radius of the base</em>

<em />

plug values in the formula

A = π(9)(14)+π9²

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