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4 years ago

Jane's basic insurance cost is $559.90 per year. Her insurance company offers a typical "safe-driver discount." What would be he

r rate if she went three years without an accident?

Mathematics

1 answer:

Travka [436]4 years ago

7 0

$559.90 - (559.9 \times 0.10) = 503.91$

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Factorize please help me <img src="https://tex.z-dn.net/?f=a%20%7B%7D%5E%7B2%7D%20%20-%204b%20%7B%7D%5E%7B4%7D

Vsevolod [243]

Answer:

$(a+2b^{2} )(a-2b^2)$

Step-by-step explanation:

You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

$a^2-b^2=(a+b)(a-b)$

So,

$a^2-(2b^2)^2$

you can work the equation backward now and you will get your original equation.

8 0

3 years ago

Examine the diagram, where BD¯¯¯¯¯¯¯¯

Sidana [21]

The value of x based on the tangent-secant theorem is: 19.

Recall:

The secant-tangent theorem states that when a tangent and a secant meet outside a circle, the product of the secant length and it's segment outside the circle is equal to the square of the tangent segment length.

Applying the tangent-secant theorem or rule, we will have this equation:

$AB \times EB= DB^{2}$

AB = $(x-7)+4 = x -3$

EB = 4

Substitute:

$(x - 3)(4) = 8^{2} \\\\4x - 12 = 64\\\\$

Add 12 to both sides

$4x = 64 +12\\\\4x = 76$

Divide both sides by 4

x = 19

Therefore the value of x is 19.

Learn more here:

brainly.com/question/9330100

4 0

3 years ago

A regular 40-sided polygon is rotated with its center of rotation at its center. What is the smallest degree of rotation needed

mina [271]

Hey! the answer would be A regular 40-sided polygon has an interior angle equal to:
(40 - 2) (180) /40 = 171 degrees

The interior angle is also the smallest angle that is needed to rotate the polygon and map it unto itself. So, the smallest degree of rotation needed to map the polygon back to itself is 171 degrees.

8 0

4 years ago

Simplify this equation please.

Sauron [17]

$\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}$

Identity:

$\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta$

So we can rewrite the denominator to get

$\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}$

Multiply numerator and denominator by $\sin^2\theta$ . Several terms will cancel since $\sin\theta\csc\theta=1$ . Also, $\cot\theta=\dfrac{\cos\theta}{\sin\theta}$ . We get

$\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}$

Factorize the numerator, and write $\cos$ in terms of $\sin$ in the denominator to factorize it further to get

$\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}$

The $1-\sin\theta$ factors cancel, leaving you with

$\dfrac{1-2\sin\theta}{1+\sin\theta}$

which you could simplify a bit further by writing

$\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}$

3 0

4 years ago

Riemann's negation created what famous form of non-Euclidean geometry?

vodomira [7]

Answer: Spherical

Step-by-step explanation:

A non -Euclidean geometry is a geometry without a flat surface, unlike the properties of things geometry’s like points, lines, and other shapes which exist in a non-flat world. Spherical geometry which is a kind of plane geometry wound round a surface of a sphere is a perfect example of a non-Euclidean geometry. Which was created by Riemann's negation.

5 0

4 years ago