Danny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52​

Answer:

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

∴ ΔACB is a right triangle

∵ m∠B = 57°

∵ AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

∵ AB = x

→ We can use the function sine to find x

∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]

∴ sin∠B = [tex]\frac{AC}{AB}[/tex]

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

∴ x = [tex]\frac{10.8}{sin(57)}[/tex]

∴ x = 12.87752356

→ Round your answer to the nearest tenth

∴ x = 12.9

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Answer:

3x + 17 < 47 solving for x = x<10

43<8x-9 solving for x = x = 13/2

Answer:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Step-by-step explanation:

Answer:

A sequence is a discrete structure used to represent an ordered list.

Step-by-step explanation:

Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.

Answer:

The First Table

Step-by-step explanation:

The y-values increase inconsistently, while the other tables are constant.

Answer: the answer is 55°

Step-by-step explanation:

You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten

Answer:

$550

Step-by-step explanation:

How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5

So, profit for 100 burritos is $5.5 x 100 = $550.

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

To know more about Trigonometric Function on:

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Answer:

nanogon have 27 diagnals

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.

Answer:

1.53

Step-by-step explanation:

1

36

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85

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36

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=

E

V

85

36

−

140

36

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E

V

−

55

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1.53

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

area = 1/2h(sum of bases)

area = 1/2x3(3+9)

area = 1/2 of 36

area = 18

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

Answer:

thx for ur help

Answer:

1.575

Step-by-step explanation:

Answer:

The jar problem

Step-by-step explanation:

Joaana saves nickels and quarter in a jar

She looked to see if she had enough coins to fix her car

She didn't so she went on the side of the street to play her guitar

She played for money by a food bar

She worried she wouldn't make a lot

So she bet illegally on some chickens that fought

She was scared the cops would come and she would get caught

The saw the cops coming and her eyes lit up like a match

She grabbed $500 and she was one they wouldn't catch

It turns out she only needed $10 to fix a tiny scratch

She only had $5 is coins in her jar

Now she has $500 and can fix her car

Hope this helps ya! Keep smiling!

Answer:

i think the answer is 7

Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

The volume of a given circular cylinder is:

[tex]V = \pi r^2 h[/tex]

[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]

[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Answer:

2/11

Step-by-step explanation:

thats the probability

Answer:

2/11

Step-by-step explanation:

Answer: 15

Step-by-step explanation: 5/6 times 18 = 15 hours

Answer:

Step-by-step explanation:

In the model for exponential growth or decay, the amount, or size, at t=0 is represented by  [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]

Let us consider that [tex]N_{0}[/tex]  is the initial amount and N is represent that amount after growth or decay in time t .

Model for exponential growth or decay is,

                                 [tex]N=N_{0}e^{kt}[/tex]

Amount at t=0 is,

                             [tex]N=N_{0}e^{k*0}=N_{0}[/tex]

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Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

Answer:  11:55 I hope this helps Have a nice day

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First, double the first equation.

If 3x+7=5, then 6x+14=10

Since they are asking for 6x+17, the answer is 10+3=13

Hope I helped!