are all natural numbers also a rational number? (yes/no)

[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]

Answer:

78125

Step-by-step explanation:

Answer:

[tex]t^{3}[/tex]

Step-by-step explanation:

cubed means to the power of 3

Answer:

400m/s

Step-by-step explanation:

72×1000÷3600

=20

20×20

=400m/s

Answer:

Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2

Step-by-step explanation:

um just round

P.S. Iready sucks

Answer:

Kale ; 1(oz)

Carrots; 4(oz)

Sweet Potatoes; 4(oz)

Beets; 2(oz)

Step-by-step explanation:

       Kale              \          1.35                ⇒    1(oz)

    Carrots            \         3.50                ⇒   4(oz)

Sweet potatoes   \         3.81                ⇒   4(oz)

      Beets              \        2.29                ⇒   2(oz)

Answer:

well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances

Step-by-step explanation:

formally, there is only one alternative : if not negative, it would be a positive number.

and that would mean

2× -4/5 = x (= a positive number)

2× -4 = 5x (= still a positive number)

-4 = 5x/2 (= still a positive number)

and -4 is definitely not a positive number.

so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.

Answer:

42

Step-by-step explanation:

I would guess that Saul had 42 belts before because 42-34 is 8

Answer:

[tex]561.08in^{2}[/tex]

Step-by-step explanation:

[tex]S A = lw + l[/tex] [tex]\sqrt{(\frac{w}{2})^{2} + h^{2} } + w[/tex] [tex]\sqrt{(\frac{l}{2})^{2} + h^{2} }[/tex]

[tex]SA = 14(14) + 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} }+ 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} } = 561.08in^{2}[/tex]

Answer:

Yes, 1.010010001 is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

Step-by-step explanation:

A rational number has the form p q, where p and q are integers, q* 0 otherwise it is an irrational number.

A circle is a curve sketched out by a point moving in a plane. The area of the circle will be equal to 28.26 in².

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The area of the circle will be approximately equal to the area of the parallelogram. Therefore, the area of the parallelogram can be written as,

[tex]\text{Area of parallelogram} = 9.42 \times 3 = 28.26\rm\ in^2[/tex]

Hence, the area of the circle will be equal to 28.26 in².

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Answer:

P(A) = 5/12

P(B) = 1/2

Step-by-step explanation:

A) Sum greater than 7

If the sum needs to be >7, then it can be 8, 9, 10, 11, and 12.

There are 26 out of 36 events where the sum is >7, thus P(A) = 15/36 = 5/12.

B) Sum is even

If we see in an overview of the sum distribution, there is a balanced division between odd and even numbers, thus the probability is very likely to be 1/2. Now let's make sure of it:

If the sum needs to be even, which means divisible by 2, then it can be 2, 4, 6, 8, 10, and 12.

There are 18 out of 36 events where the sum is even, thus P(B) = 18/36 = 1/2.

Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3

Answer:

h(x + 2) = x² + 2x

Step-by-step explanation:

The base function is :

⇒ h(t) = t² -- 2t

⇒ h(t) = t (t - 2)

Substitute x + 2 in place of t :

⇒ h(x + 2) = (x + 2) (x + 2 - 2)

⇒ h(x + 2) = (x + 2)(x)

⇒ h(x + 2) = x² + 2x

[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]

Answer:

164 [tex]in^{2}[/tex]

Step-by-step explanation:

We find the areas of all the faces

30    [tex]in^{2}[/tex]

30[tex]in^{2}[/tex]

40[tex]in^{2}[/tex]

40[tex]in^{2}[/tex]

12[tex]in^{2}[/tex]

12[tex]in^{2}[/tex]

add them all up to get 164[tex]in^{2}[/tex]

:)

Answer:

172.8 m^2

Step-by-step explanation:

7.2/2 = 3.6

3.6*4.8 = 17.28

17.28*10 = 172.8

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

5x²-20

5(x²-4)

hope it helps...!!!

Answer:

I think that answer is 65....Broo 65 or what broo...

An inequality is used to show two values that are different and to show that the two values are unequal.

This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.

We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.

Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.

Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.

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Answer:

12.025

Step-by-step explanation:

h=v/(π*r square)

divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)

340÷(π×3square)

giving you 12.025

(original in calculator=12.02504014)

but it is 12.025

Answer:

see the attachment.

the answer is $ 32. 40/ Year

Answer:

y300

Step-by-step explanation:

line graph start at y300

Answer:

[tex]CI=\{-0.2941,-0.0337\}[/tex]

Step-by-step explanation:

Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.

We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:

[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}

The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

Answer:

[tex]\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}[/tex]

Step-by-step explanation:

Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.

Now, the formula for the cirumference of a circle = 2πr

Circumference of the circle

= 2πr

= 2 × 3.14 × 5                      [π = 3.14]

= 31.4 feet (option E)

[tex]\rule{150pt}{2pt}[/tex]

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond[/tex]

          What is the circumference of the circle? (Its radius is 5 ft)

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).

We're asked to find the circumference of the circle, which can be found using the following formula:-

❖  [tex]\sf{C=2\pi r}[/tex]

Where:-

Substitute 5 for r:-

[tex]\sf{C=2\pi (5)}[/tex]

On simplification,

[tex]\sf{C=10\pi}[/tex]

On further simplification,

[tex]\sf{C=31.4\:feet}[/tex]

So we conclude that the right option is:-

[tex]\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark[/tex]

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

Answer:

Part B:3/6 should be your answer answer:)!

Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.

Step-by-step explanation:

volume = (side length)³

Alternatively we could say that;

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So the length of an edge of the cube is 10 feet.

Answer:

42

Step-by-step explanation:

it is stated that the triangle are similar so their side lengths must be proportional, we can use this to find the missing side length

AB/XY = BC/YZ write this with the side lengths

3/21 = 6/? cross multiply expressions

3? = 126 divide both sides by 3

? = 42

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

Answer:

C

Step-by-step explanation:

The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.

The circumference of the circle 1 is less than the circumference of the circle 2.

Circumference is "a distance around the circle".

According to the question,

The area of the circle 1 is 6π and the area of the circle 2 is 7π.

Area of the circle = π.r²

Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.

Hence, the circumference of the circle 1 is less than the circumference of the circle 2.

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Answer:10 squared plus 9 squared equals 15 squared

Step-by-step explanation:

take the square root of your answer

Answer:

Step-by-step explanation:

1. Circumference: 2(3.14)(4.2) = 26.38 in.

  Area: πr² = 3.14(4.2)² = 55.39 in.²

2. Circumference: 2(3.14)(1) = 6.28 m.

   Area: πr² = 3.14(1)² = 3.14 m.²

Hope this helps!