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3 years ago

A perpendicular bisector must be the same length as the segment it bisects True or false

1 answer:

6 0

False

A perpendicular bisector does not have to be the same length as the segment it bisects, it only needs to bisect the segment through its center.

Hope this helps!

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Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.

GarryVolchara [31]

Answer:

$a_{n} = 32(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

This means that for example:

$a_{3} = a_{1}r^{3-1}$

$a_{3} = a_{1}r^{2}$

$2 = a_{1}(\frac{1}{4})^{2}$

$2 = \frac{a_{1}}{16}$

$a_{1} = 32$

Then

$a_{n} = 32(\frac{1}{4})^{n-1}$

4 0

4 years ago

Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) &

Bess [88]

Answer:

The angle is in the second quadrant.

Step-by-step explanation:

The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as $\sin (t) \ne 0$ ,

$\displaystyle \csc t = \frac{1}{\sin t}$ .

Therefore, $\csc(t) > 0$ is equivalent to $\sin (t) > 0$ .

Consider a unit circle centered at the origin. If the terminal side of angle $t$ intersects the unit circle at point $(x,\, y)$ , then

$\cos (t) = x$ , and
$\sin(t) = y$ .

For angle $t$ ,

$x = \cos(t) < 0$ , meaning that the intersection is to the left of the $y$ -axis.
$y = \sin(t) > 0$ , meaning that the intersection is above the $x$ -axis.

In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.

6 0

3 years ago

Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

ASHA 777 [7]

Answer:

x ={0; - 1 ; 2 ; 1}

Step-by-step explanation:

x¹³-2x¹²-x¹¹+2x¹⁰=0

x¹⁰(x³-2x²-x+2)=0

x¹⁰(x+1)(x-2)(x-1)=0

x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0

x=0 x= - 1 x= 2 x= 1

3 0

4 years ago

I need help, please. it would mean a lot I need it now

fomenos

Answer:

60 feet

Step-by-step explanation:

a - 2x

b - x

c - 3x

120/6 = 20

20 x 3 = 60

8 0

4 years ago

Read 2 more answers

Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their envir

Shtirlitz [24]

For this case, the first thing we are going to do is rewrite the equation correctly.
We have then:
T = 50 + (N-40) / 4
We substitute the value of N = 98, we have then:
T = 50 + (98-40) / 4
T = 64.5 degrees Fahrenheit.
Answer:
the temperature in degrees Fahrenheit, T is:
T = 64.5 degrees Fahrenheit.

5 0

3 years ago