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polet [3.4K]
3 years ago
13

Write a function rule for the following geometric sequence.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0
I think it f(x) = 3x + 4 if I am wrong I am so so sorry have a great day.
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The sum of two consecutive integers is 4,031. What are the integers?
Sati [7]
They are 2015 and 2016.

divide 4031 by 2, and get rid of the decimal:
You will get 2015.
2015+2015 = 4030
2015+2016=4031
8 0
3 years ago
Read 2 more answers
A circle has a cincumarence of 907 16 units,What is the diameter of the circle?
abruzzese [7]

Answer: 288.74

Step-by-step explanation:

6 0
3 years ago
Please show work and thank youuu
Assoli18 [71]

Answer:  6\sqrt{3}

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

The short leg is always opposite the smallest angle (30 degrees).

3 0
2 years ago
Solve the system of equations using the substitution method. -x − 2y = 0 y = -8x (x, y) = ( , )
marta [7]

Answer:

= { \tt{(0, \: 0)}}

Step-by-step explanation:

Let:

{ \bf{ - x - 2y = 0 -  -  - (a)}} \\ { \bf{y =  - 8x -  -  - (b)}}

Substitute for y in equation (b) to equation (a):

{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}

Also, y = 0

4 0
3 years ago
PLEASE HELP ME ASAP! THANK YOU
Daniel [21]

Answer:

The area of the sector of the circle is approximately

Step-by-step explanation:

The given parameters of the circle having a shaded sector are;

The radius of the circle, r = 4 meters

The measure of the arc bounding the sector = 135°

The area of a sector of a circle, 'A', is given as follows;

A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².

4 0
3 years ago
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