Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5
per gigabyte. She wants to keep her bill under $85 per month. Write and
solve an inequality which can be used to determine g, the number of
gigabytes Rajani can use while staying within her budget.

Answer:

Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1.   For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.

2.   Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.

3.   The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).

4.   The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.

5.   The approximate length of BC can be determined as,

Tan(54°)=CD/BC

BC = CD/Tan(54°)

BC = 8.719 cm

6.    The approximate length of BD can be determined using the Pythgorus theorem,

BD² = CD² + BC²

BD = 10.5835 cm

Learn more about Trigonometric functions:

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Answer to part (b)

y = 12000x

Step-by-step explanation:

This function represented in the graph is a linear equation. Since the function passes through the origin (0,0) we can assume that y = mx for some number m.

According to the graph, the function passes through the coordinate (2,24000)

the 2 in the cooridnate represents the x value, and the 24000 represents the y value. Since the function passes through the origin we can find the number m by dividing the y value of the given cooridinate by the x value of the same cooridinate

m = 24000/2

which can be simplified to

m = 12000

Therfore the line on the graph is a representation of y = 12000x

This equation can be used to solve part (c) by plugging in 10 as the x value, this will return, 120,000

NOTE:

The method which was used to find the function only works if the graph passes through the origin.

Answer

80% of 20 is 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

80% = [tex]\frac{8}{10}[/tex]

[tex]\frac{8}{10} =\frac{4}{5}[/tex]

Four of the five show categories.

4 × 4 = 16

Answer:

90

Step-by-step explanation:

Answer: So you need to find the area of the big circle and the little circle, if you add the diamaters they add up to 16 so we do pi*r^2 if the diameter is 16 we need the radius so we divide by 2, so we do pi*8^2, pi*64, 200.96 if we use 3.14, then we find the area of the little circle which is pi*r^2 which since the diameter is 8 we divide by 2 and get 4 so it is pi*4^2 which gets us pi*8 using 3.14 it is 25.12, now if we subtract 200.96-25.12 we get 175.84   mm

Answer:

I Think It is -1

Answer:x=3±√2

Decimal Form:

x=4.41421356

Step-by-step explanation:

:D

Answer:

6.48

Step-by-step explanation:

17*-.36= -6.12

-6.12+12.6= 6.48

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Answer:

Exponential growth

Step-by-step explanation:

Step-by-step explanation:

The answer is In the picture above

Answer:

336 cm²

Step-by-step explanation:

1 rectangle 24 cm by 12 cm

1 triangle with base 12 cm and height 8 cm (combining the two small triangles into 1 larger triangle)

SA = 24 cm * 12 cm + 12 cm * 8 cm / 2

SA = 288 cm² + 48 cm²

SA = 336 cm²

Answer:

C

Step-by-step explanation:

The inequality says greater than or equal to 8, which means the first two are automatically ruled out because they are both less than/equal to.

Then look at C and D, D starts at 3 and C starts at 8 so the answer should be C

Answer:

yooooooo wus up

Step-by-step explanation:

click point (7,5)

19.4 inches

Step-by-step explanation:

Area of the traingle = 230.86 sq. inches

Height of the triangle = 23.8 sq. inches

We have,

Area of the triangle =  1/2bh

where,

b = base of the traingle

h = height of the triangle

Now, substituting the given info we get,

230.86 = 1/2b (23.8)

230.86 × 2/23.8 = b

b = 19.4

So, the base of the triangle is 19.4 inches

Answer:

$19,110

Step-by-step explanation:

18,200 x 1.05 = 19,110

Answer:

scale factor = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides , B  to A

scale factor = [tex]\frac{50}{30}[/tex] = [tex]\frac{5}{3}[/tex]

Then

[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

3x = 75 ( divide both sides by 3 )

x = 25

and

[tex]\frac{18}{y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

5y = 54 ( divide both sides by 5 )

y = 10.8

Answer:

4:6 I think sorry if wrong

Step-by-step explanation:

Answer:

2 to 3. Or 2:3

Step-by-step explanation:

There are 4 triangles to every 6 squares

Their GCF is 2 so divide by 2 to get 2:3

Answer:

Step-by-step explanation:

did u get the answer?//

Answer:

2500 grams

Step-by-step explanation:

Answer:

v=2500-312.5x, after 3 years its worth 1562.5$

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

x = -y

2x + 2y = 6

2(-y) + 2y = 6

0 = 6

Answer:

2/5

Step-by-step explanation:

5x+6y=11

as we have to find x coordinate

while y coordinate 3/2 is already given in question

so only put value of y coordinate in given equation to get x coordinate value

5x+6y=11

5x+6*(3/2)=11

5x+3*3=11

5x+9=11

5x=11-9

5x=2

x=2/5

Answer:

(-1, 2) will be point A'

Step-by-step explanation:

Answer:

Ummm ion even know I'm still in elementary/ 5 th

Answer:

x=8

Step-by-step explanation:

x^2 - 48 = 2x    

x^2 - 2x - 48=0

(x+6)(x-8)=0

x+6=0     x-8=0

x= - 6         x=8

can not be negative so the answer is x=8

Answer:

hi long time no talk we need to talk on padle* i left msgs

Step-by-step explanation:

Answer:

50%

Step-by-step explanation: