When constructing an equilateral triangle, what step comes after six arcs are created on the circle?

Answer:

The 3rd-grade teacher should say that the school systems and ways of teaching get updated each year.

Step-by-step explanation:

Children's parent's schools would have probably taught different techniques and ways of learning a topic. As years go by, more efficient ways of learning that topic are presented and selected.

If the parent would like the child to learn that way, they may teach them at home, but the school has decided on a system for at-school learning that seems to have worked the best.

Hopefully, that should answer the parent's questions!

In other words, the triangles are consistent if the hypotenuse and one of the legs of one right triangle agree with the hypotenuse and one of the legs of another right triangle.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.

Two right triangles are supposed to be consistent on the off chance that they are of a similar shape and size. All in all, two right triangles are supposed to be consistent in the event that the proportion of the length of their comparing sides and their relating points is equivalent.

Right triangles are harmonious in the event that both the hypotenuse and one leg are a similar length. These triangles are harmonious by HL or hypotenuse leg.

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$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

Answer:

The slim-off diet claims the largest loss.

Step-by-step explanation:

The slim off claims to lose 3.5kg(7.7 pounds) in a week,

whereas super slim claims to lose 6 pounds in 2 weeks.

Answer:

3.5 kg

Step-by-step explanation:

if you convert 6 Ib and 3.5 kg to grams you get

6 Ib = 2721.6 grams

3.5 kg = 3500 grams

Since 3.5 kg has more grams lost from the diet.

Answer:

i don't know

Answer:

y > -x + 3

Step-by-step explanation:

find the slope and y-intercept so you can create a linear equation:

y = mx + b ;   m = slope and  b = y-intercept

slope (m) = (3-0) / (0-3)

m = 3/-3 or -1

we can see the y-intercept by looking at the graph, it is 3

y > -x + 3

John's cholesterol level at the 66th percentile is approximately 171.2 mg/dl.

To find John's cholesterol level at the 66th percentile, we can use the properties of the normal distribution.

Step 1: Convert the percentile to a z-score.

The z-score represents the number of standard deviations a value is away from the mean. We need to find the z-score corresponding to the 66th percentile.

To find the z-score, we can use the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a given value.

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the 66th percentile is approximately 0.43.

Step 2: Use the z-score to find the cholesterol level.

Given the z-score of 0.43, we can use the formula for converting z-scores to actual values:

Cholesterol level = Mean + (Z-score * Standard deviation)

Substituting the values into the formula:

Cholesterol level = 154 mg/dl + (0.43 * 40 mg/dl)

Cholesterol level ≈ 154 mg/dl + 17.2 mg/dl

Cholesterol level ≈ 171.2 mg/dl

Therefore, John's cholesterol level at the 66th percentile is approximately 171.2 mg/dl.

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Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

Answer:

25

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

Answer: 45.825353255

Step-by-step explanation:

Answer:

y=-12x-1

Step-by-step explanation:

The exact length of the curve is approximately 0.224 units.

To find the length of the curve, we need to use the arc length formula:

\(L = \int_a^b \sqrt{1+\dfrac{dy}{dx}^2} dx\)

Here, we have parametric equations x = 6 12t2, y = 9 8t3, 0 ≤ t ≤ 4. So, we need to find dy/dx and then substitute it in the arc length formula.

dy/dx = (dy/dt)/(dx/dt)

= (24t^2)/(36t^4)

= 2/(3t^2)

Now, we substitute this value in the arc length formula:

\(L =\int_0^4 \sqrt{1+\dfrac{2}{(3t^2)}^2 dt\)

\(L = \int_0^4 \sqrt{1+\dfrac{4}{9t^4}} dt\)

Let u = 1+4/(9t4). Then du/dt = -(16/(27t5))

Hence, dt = -(27t5)/16 du

When t = 0, u = 1+4/(90^4) = 1

When t = 4, u = 1+4/(94^4) = 1.00185 (approx)

So, the integral becomes:

L = \(\int_1^{1.00185}\sqrt{u} \times \dfrac{-(27t^5)}{16} du\)

L ≈ 0.224

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Step-by-step explanation:

\(90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128\)

The 95% confidence interval for the percentage of all eligible voters who intend to support Trump is (0.251, 0.349). If the true fraction does fall inside this range, we may say with 95% confidence.

We can use the following calculation to calculate a confidence interval for the percentage of all registered voters who intend to support Trump:

CI = p ± z\(\sqrt((p(1-p))/n)\)

where:

p is the proportion of the sample that will support Trump in the vote.

The critical value for the desired confidence level is z (95% confidence corresponds to a z-value of 1.96).

n is the sample size

When we enter the values from the issue, we get:

p = 120/400 = 0.3

z = 1.96

n = 400

CI = 0.3 ± 1.96sqrt((0.3(1-0.3))/400)

CI = 0.3 ± 0.049

CI = (0.251, 0.349)

Therefore, The 95% confidence interval for the percentage of all eligible voters who intend to support Trump is (0.251, 0.349). If the true fraction does fall inside this range, we may say with 95% confidence.

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Answer:

40 cups of food

Step-by-step explanation:

First, you would multiply 2/3 by 2, which gives you 4/3. That means the beagle will eat 1 and 1/3 of a cup a day. If you multiply that by 30, you get 40.

The graph of the cosine function is plotted and attached

A cosine graph, also known as a cosine curve or cosine function, is a graph that represents the cosine function.

The cosine function is a mathematical function that relates the angle (in radians) of a right triangle to the ratio of the adjacent side to the hypotenuse.

In the function,  h(x) = 0.5 cos (-x + 3), the parameters are

Amplitude = 0.5

B = 2π/T where T = period.

period = 2π / -1 = -2π

phase shift = +3

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The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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Answer:

42.56 mph

Hope this helps!

Answer:

y = -4x-9

Step-by-step explanation:

The slope must stay the same for parallel lines, which is -4. Now we will plug the point into slope-intercept form(y=mx+b) where m is the slope and b is the y-intercept. Plugging in -4 for the slope and (-3, 3) for x and y, we get \(3=-4*13 + b\), or \(3 = 12 + b\). Subtracting 12 from sides gives us that b = -9, which is the y-intercept! We know have both the slope and y-intercept, so we get that the equation is y = -4x - 9.

Hope this helps!

(a) P(En(FUG)) = P(E)P(FUG) found by using the multiplication rule of probability.

Using the multiplication rule of probability, we have P(En(FUG)) = P(En∩F∩G) = P(E)P(F)P(G), since E, F, and G are independent events. Therefore, P(En(FUG)) = P(E)P(FUG).

(b) We want to show that P(A∩B) = P(A)P(B), given that A and B are independent events. Using the definition of independent events, we know that P(A∩B) = P(A)P(B|A) = P(A)P(B), since P(B|A) = P(B) by the independence of A and B. Therefore, A and B are independent events.

(c) To determine whether X and Y are independent, we need to check if P(X=x∩Y=y) = P(X=x)P(Y=y) for all x and y. We have P(X=0∩Y=0) = 1/2, P(X=0) = 1/2, and P(Y=0) = 1/2.

Therefore, P(X=0∩Y=0) ≠ P(X=0)P(Y=0), which implies that X and Y are not independent. In fact, we can compute all possible joint probabilities and see that none of them satisfy the condition for independence.

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The additive inverse of the complex number 9 -4i as described in the task content is; -9 +4i.

It follows from convention that the additive inverse of a number can be obtained by multiplying the number by; -1.

On this note, it follows that the additive inverse of the complex number as given in the task content is; -(9 -4i) = -9 + 4i.

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Answer:

its B

Step-by-step explanation:

The equation of the tangent line is y = 8x - 8.

Given function is f(x) = 2x² Find the indicated quantities for the function f(x) = 2x²

(A) The slope of the secant line through the points (2, f(2)) and (2 + h, f(2 + h)), h ≠ 0The slope of the secant line is given as follows: slope of the secant line = change in y / change in x slope = f(2 + h) - f(2) / (2 + h) - 2 = 2(2 + h)² - 2(2)² / h= 2(4 + 4h + h² - 4) / h= 2(2h + h²) / h= 2(h + 2)

Therefore, the slope of the secant line is 2(h + 2).

(B) The slope of the graph at (2, f(2))The slope of the graph of f(x) = 2x² at a point x = a is given by the derivative of the function at x = a, which is f'(a) = 4a.

Hence, the slope of the graph at (2, f(2)) is f'(2) = 4(2) = 8.

(C) The equation of the tangent line at (2, f(2))The equation of the tangent line is given by: y - f(2) = f'(2)(x - 2)y - 2(2)² = 8(x - 2)y - 8 = 8x - 16y = 8x - 8.

Therefore, the equation of the tangent line is y = 8x - 8.

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Answer:

$17.70

Step-by-step explanation:

$15.00×18%=$2.70

$15.00+$2.70=$17.70

Answer:

this is so simple lol  5/40

Step-by-step explanation:

Answer:

5/40 is the correct answer

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

\( BI \cong ST.... (given) \\\)

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

\( \frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\

\frac{x}{12} = \frac{4}{x}\\\\

x\times x = 12\times 4\\\\

x^2 = 48\\\\

x=\sqrt{48}\\\\

x = 6.92820323\\\\

x = 6.93\\\)

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

Answer:

18:25

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 90 and 125 is 5

Divide both terms by the GCF, 5:

90 ÷ 5 = 18

125 ÷ 5 = 25

The ratio 90 : 125 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

90 : 125 = 18 : 25

Therefore:

90 : 125 = 18 : 25

* IF YOU CAN PLEASE GIVE ME A BRAINLIEST*

Answer:

235 * 10^7

Step-by-step explanation:

HOPE THIS HELPED

The probability of getting exactly 3 sixes using Normal approximation is 0.0022.

The probability of getting exactly 3 sixes using Poisson approximation is 0.0018

Let X = outcome of rolling a dice.

The probability of any of the 6 face occurring is, .

The random variable X follows a Binomial distribution with parameters n  and p.

It is provided that the die is rolled n = 72 times.

As the number of times the die is rolled is quite large the distribution of X can be approximated by the Normal distribution.

Conditions of Normal approximation are satisfied.

So the random variable X follows a Normal distribution with:

Mean = np = 12

Variance = np(1 - p) = 10

Compute the probability of getting exactly 3 sixes as follows:

P= 0.0022

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