An equilateral triangle has all sides the same length and all angles the same measure.

Which is the measure of one angle of an equilateral triangle?

30°
45°
60°
90°

Answer:

42

Step-by-step explanation:

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

Answer:

y300

Step-by-step explanation:

line graph start at y300

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]

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[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]

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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: Please see the analysis

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:

See below for answers and explanations (with attached graph)

Step-by-step explanation:

It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:

[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]

Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:

[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]

Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.

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:

19.64$

Step-by-step explanation:

91.89-72.25

Answer:

$19.64

Step-by-step explanation:

Answer:

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

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

Answer:

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

Step-by-step explanation:

cubed means to the power of 3

Answer:10 squared plus 9 squared equals 15 squared

Step-by-step explanation:

take the square root of your answer

Answer:

Part A: The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.

Part B: From the interval [1,4], the average rate of change is 50.625, which means that for every $1 increase in the price of erasers, the profit goes up by $50.625.

Part C:

The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.

Step-by-step explanation:

The equation of this parabola is [tex]f(x) = -16.875(x-4)^2 + 270[/tex].

Part A:

The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.

Part B:

To find the average rate, we can use the slope formula, but first, we must find the y-values at each given x-value. We can plug in 1 and 4. [tex]f(1) = -16.875(1-4)^2 + 270 = 118.125[/tex]. We know that at x = 4, the y-value is 270 because the vertex is at (4,270). Now we can apply the slope formula [tex]\frac{270 - 118.125}{4 - 1} = 50.625[/tex]. This means that from the interval [1,4], the average rate of change is 50.625, which represents that for every $1 increase in the price of erasers, the profit goes up by $50.625.

Part C:

The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.

hope this helped! :)

5x²-20

5(x²-4)

hope it helps...!!!

Step-by-step explanation:

1: MD = 17.621

VD = 27.41

2:

60 degrees

3: sinC

Answer:

78125

Step-by-step explanation:

Answer:

I am not too sure so I deeply apologize for any wrongs, but this is my thinking.

Joe bought each taco for 4 dollars, and bought an asada fry for 50 cents.

On the other hand-

Sam also bought 1 taco for 12 dollars, and bought 2 asada fries, one of them was 1 dollar, and one of them was 75 cents.

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:

volume = 216cm

Step-by-step explanation:

V = (1/2) × b × h × l

V = 1/2 × 6 × 8 × 9

v=216

Answer:

216 cubic centimeters

Step-by-step explanation:

To calculate the volume of a triangular prism, we can use the formula:

V = (length x width x height) / 2

To solve this problem, in particular, all we have to do is substitute the values:

V = (8 x 6 x 9) / 2

V = 216 cubic centimeters

Hope this helps!!

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.

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.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ1

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!

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.

[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:

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.

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

Answer:

400m/s

Step-by-step explanation:

72×1000÷3600

=20

20×20

=400m/s