Does the figure above appear to have rotational symmetry?if yes, select the angles of rotation less than 360°

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

Learn more on inscribed angle here;

https://brainly.com/question/3538263

#SPJ1

The probability of at least one drive working during the year is equal to the complement of all four drives failing, which is \(\( 1 - p^4 \)\).

To calculate the probability of at least one drive working during the year, we can use the complement rule. The complement of all four drives failing is equivalent to at least one drive working.

Let's assume that the probability of a single hard drive failing during a year is denoted as \(\( p \)\). This means that the probability of a single drive working is \(\( 1 - p \)\).

Since the four drives are independent, the probability of all four drives failing is given by \(\( p^4 \)\).

Therefore, the probability of at least one drive working during the year is equal to the complement of all four drives failing, which is \(\( 1 - p^4 \)\).

Please note that the value of \(\( p \)\), the probability of a single drive failing, is not provided in the question. You would need to know this information or make an assumption about it in order to calculate the exact probability.

to learn more about probability

https://brainly.com/question/31828911

#SPJ11

The probability of avoiding catastrophe with at least one working drive is 0.9999999, or nearly 1.

The probability of avoiding catastrophe with at least one working drive can be calculated using the concept of complementary events.

Let's assume each drive has a failure rate of 0.01 (1% chance of failure) during a year. To find the probability that all drives fail, we multiply the failure probabilities of each drive together: 0.01 * 0.01 * 0.01 * 0.01 = 0.0000001.

The complementary event is the probability of at least one drive working, which can be found by subtracting the probability of all drives failing from 1: 1 - 0.0000001 = 0.9999999.

Therefore, the probability of avoiding catastrophe with at least one working drive is 0.9999999, or nearly 1.

In simpler terms, having multiple independent drives greatly reduces the likelihood of a catastrophic data loss. The chance of all four drives failing simultaneously is extremely low, so you can feel confident that your data will be protected.

to learn more about probability

https://brainly.com/question/32117953

#SPJ11

The length of the shadow casted by the high rise building is approximately 37.7 feet

The image in the question forms a right triangle:

Angle θ = 57 degrees

Opposite to angle θ = 58 feet

Adjacent to angle θ = x

To solve for x ( length of the shadow casted by the building ), we use the trigonometric ratio.

Note: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the values:

tan( 57° ) = 58ft / x

Cross multiply and solve for x:

x × tan( 57° ) = 58ft

x = 58ft / tan( 57° )

x = 37.7 ft

Therefore, the value of x is 37.7 feet.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

To determine the surface area of the prism we need add the following areas:

• Two triangles with base of 6 in and height 4 in.

• Two rectangles with length 10 in and width 5 in

• One rectangle with length 10 in and width 6 in.

Then the surface area is:

Therefore, the surface area is 184 square inches

We need to determine if the polygons are similar or not.

If we notice something we can deduce the following

Moreover as both figures are parallelograms then

Finally for construction, both parallelograms have exactly the same angles, in the following way, by geometry we have that

we have that purple angles are equal and for the other side green angles are equal. So in our case,

Since the parallelograms have length of their sides related by a factor of 1/3 and the angles are the same, then, the parallelograms are similar as required.

Similar: YES, scale factor: 1/3

Answer:

Step-by-step explanation:

The least common denominator for 1/6 + 3/8 is 24

first find the multiples of 6 and 8

6= 6, 12, 18, 24, 30

8 = 8, 16, 24, 32

Next circle the number that appear in both

That number will be 24 which is the least common denominator.

Answer:

729 emails

Step-by-step explanation:

The pattern is to multiply by 3

3*3 = 9

9*3 = 27

27*3 = 81

81*3 = 243

If the pattern continues, Martin will sent on monday:

243*3 = 729

729 emails

Answer:

729

Step-by-step explanation:

Answer: y= -3(x+4)

Step-by-step explanation:

To prove that lim x → 0 x^4 cos(2/x)=0, we need to show that for any ε > 0, there exists a δ > 0 such that |x^4 cos(2/x)| < ε whenever 0 < |x| < δ.

First, we note that -1 <= cos(2/x) <= 1 for all x. Therefore, we have:

x^4 <= x^4 cos(2/x) <= x^4 for all x

Taking the limit as x approaches 0 of both sides, we get:

lim x â 0 x^4 <= lim x â 0 x^4 cos(2/x) <= lim x â 0 x^4

Using the fact that lim x â 0 x^4 = 0, we can conclude that:

0 <= lim x â 0 x^4 cos(2/x) <= 0

Thus, by the squeeze theorem, we have:

lim x â 0 x^4 cos(2/x) = 0

Therefore, we have shown that lim x â 0 x^4 cos(2/x) = 0.

To learn more about limit : brainly.com/question/12207539

#SPJ11

Answer:

The correct option is;

b) Vertically stretches by a factor 2 then flip over horizontal axis

Step-by-step explanation:

In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y

Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.

Ceteris paribus, a change in autonomous spending will change total spending more if the aggregate supply curve is steep (inelastic) than if it is flat (elastic).

The multiplier effect is a concept in economics that measures the change in total spending resulting from a change in autonomous spending, such as government spending or investment. The multiplier value determines the extent to which total spending increases.

When the aggregate supply curve is steep (inelastic), it means that changes in price levels have less impact on the quantity of goods and services supplied. In this case, an increase in autonomous spending will result in a relatively larger increase in total spending. The multiply amplifies the initial change in spending, leading to a larger overall impact on the economy. On the other hand, if the aggregate supply curve is flat (elastic), changes in price levels have a significant impact on the quantity of goods and services supplied.

Learn more about multiply here:

https://brainly.com/question/30875464

#SPJ11

Answer:

The area of this circle is 50.27

Step-by-step explanation:

The area of this circle is 50.3 units² or 16π

The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.

The area of the circle is the product of the pie and the square of the radius.

The area of the circle = πr²

We are given that radius of the circle as r = 4.

Then we know that

Area = πr²

Substitute the values r = 4

π = 3.14

Area = 3.14(4)²

Area = 3.14 × 16

Area = 50.3

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Answer:  D) 3³ × 7⁴

Step-by-step explanation:

GCF is the Greatest Common Factor.

both expressions contain 3³ and 7⁴

The percent of Carmela's gross pay that is her take-home pay is 75%

Carmela's gross pay is $784.25

Her total deductions is $191.17

Therefore the percent of her gross pay can be calculated as follows

The first step is to subtract the deductions from the gross pay

784.25 - 191.17

= 593.08

The percent of the gross pay that is take-home pay is

593.08/784.24 × 100

= 0.75 × 100

= 75%

Hence 75% of her gross pay is take-home pay

Read more on gross pay here

https://brainly.com/question/2890599

#SPJ1

Answer:

Step-by-step explanation:

1.95 is the correct answer

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

Answer:

87 sq in

Step-by-step explanation:

Surface area of the net

\( = 3(8) + 3(6) + (2) \frac{1}{2} (6)(5) + (5)(3) \\ \\ = 24 + 18 + 30 + 15 \\ \\ = 87 \: {in}^{2} \)

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

Diagonal² = 17² + 12.75²

                = 289 +162.5625

               = 451.5625

Diagonal = √451.5625

              = 21.25

Answer:

The answer is 21.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.

Corresponding angles where a transversal crosses parallel lines are congruent:

  (9x -14)° = (7x +18)°

  2x = 32 . . . . . . . . . . divide by °, add 14-7x

  x = 16

Then these angles are ...

  (9(16) -14)° = (144 -14)° = 130°

Vertical angles are congruent, so ...

  y° = 130°

  y = 130

Using the given data and calculations, the volume of the empty cylinder is approximately \(V = (222 lb * (453.592 g/lb) / 28.05 g/mol * 8.314 * 298.15 K) / (214.7 psia) * (1 m^3 / 35.3147 ft^3) = 26.37 ft^3\)

Let's proceed with the calculations using default values for the weight of the empty cylinder and assume it to be zero. This means that the weight of the cylinder and gas is equal to the weight of the gas alone.

Pressure (\(P_1\)) = 200 psig

Weight of cylinder and gas (\(W_1\)) = 222 lb

Pressure (\(P_2\)) = 1000 psig

Weight of cylinder and gas (\(W_2\)) = 250 lb

Temperature (T) = 25°C

1. Convert pressures to absolute units (psig to psia):

\(P_1_{abs} = P1 + 14.7\\\\P2_{abs} = P2 + 14.7\\\\P1_{abs} = 200 + 14.7\\\\P1_{abs} = 214.7 psia\\\\P2_{abs} = 1000 + 14.7\\\\P2_{abs} = 1014.7 psia\)

2. Convert weights to mass (lb to lbm):

The weight provided (\(W_1\) and \(W_2\)) is the total weight of the cylinder and gas. To find the weight of the gas alone, we need to subtract the weight of the empty cylinder.

\(\text{Weight of gas} (W_{gas}) = W_1 - \text{Weight of empty cylinder}\\\\\text{Weight of gas} (W_{gas}) = W_2 - \text{Weight of empty cylinder}\)

Since the weight of the empty cylinder is assumed to be zero:

\(W_gas = W_1\\\\W_gas = 222 lb\)

3. Calculate the number of moles of ethylene:

We can use the ideal gas law equation to calculate the number of moles using the initial conditions:

\(n_1 = (P_1_abs * V) / (RT)\)

4. Calculate the volume of the empty cylinder:

To find the volume of the empty cylinder (V), we rearrange the ideal gas law equation:

\(V = (n_1 * R * T) / P_1_{abs}\)

Now, let's substitute the known values into the equation:

\(V = (n_1 * R * T) / P_1_{abs}\)

R (gas constant) = 8.314 J/(mol·K) (in SI units)

T = 25°C = 298.15 K (converted to Kelvin)

\(V = (n_1 * R * T) / P1_{abs}\\\\V = (n_1 * 8.314 * 298.15) / 214.7\)

To proceed further, we need the molar mass of ethylene (C₂H₄). The molar mass of ethylene is approximately 28.05 g/mol.

Molar mass of ethylene (C₂H₄) = 28.05 g/mol

To convert the weight of the gas (\(W_{gas}\)) to moles, we can use the following conversion:

moles = weight (in grams) / molar mass

\(n_1 = W_{gas} / molar\ mass\\\\n_1 = 222 lb * (453.592 g/lb) / 28.05 g/mol\)

Now, we can substitute the value of \(n_1\) into the volume equation and calculate the volume in SI units (cubic meters).

\(V = (n_1 * 8.314 * 298.15) / 214.7\)

Once we have the volume in SI units, we can convert it to cubic feet using the conversion factor:

1 cubic meter = 35.3147 cubic feet.

To know more about volume, refer here:

https://brainly.com/question/30532592

#SPJ4

Answer:

\(\frac{-17}{15}\)

Step-by-step explanation:

When solving this problem you must follow PEMDAS, so parentheses should go first. To solve 1/10 - 2/3, first, find the common denominator. In this case, that is 30. Then, subtract, \(\frac{3}{30} - \frac{20}{30}\). This equals -17/30. Finally, divide by 0.5. To do this remember that dividing by half is the same as multiplying by 2. Doing \(\frac{-17}{30} *2\) equals \(\frac{-17}{15}\).

Answer:

x = 46.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin  54 = x / 58

58 sin 54 =x

x=46.92298

To the nearest tenth

x = 46.9

Answer:

-7 is no, -2 is no, 7 is no, and 10 is yes

Step-by-step explanation:

-5+9*(-7)>58

-5+-63>58

-68>58

-5+9*(-2)>58

-5+-18>58

-23>58

-5+9*(7)>58

-5+63>58

58>58

-5+9*(10)>58

-5+90>58

85>58

so the only one that is a solution is v=10, hope this helps

Answer: No, No, No, Yes

Step-by-step explanation:

Solve the equation for "v":

-5 + 9v > 58

      9v > 63

        v > 7

Check the options to see if they make a true statement:

-7 > 7    False

-2 > 7    False

7 > 7     False

10 > 7   TRUE!

Answer:

-3

-2

-6

-4

-5

-1

Step-by-step explanation:

Answer: first one

Step-by-step explanation: 34% of 19 is 6.46 and 1/3*18=18/3=6 so its the closest out of the others

Question 1

We can say that \(P=a \cdot b^w\) for constants \(a\) and \(b\).

Substituting the given points into this equation yields \(ab=900\) and \(ab^3=8100\). We need to find the value of \(b\) in this system.

\(\frac{ab^3}{ab}=\frac{8100}{900} \implies b^2=9\)

Since the graph shows exponential growth, take the positive square root. So, \(b=\boxed{3}\).

Question 2

We need to find the value of \(a\).

\(ab=900 \implies 3a=900 \implies a=\boxed{300}\)

To calculate the probability that a customer does not use a credit card, we need to subtract the percentage of customers who use a credit card from 100%.

Given that 51% of customers use a credit card, the remaining percentage that does not use a credit card is: Percentage of customers who do not use a credit card = 100% - 51% = 49%

Therefore, the probability that a customer does not use a credit card is 49% or 0.49.

To calculate the probability that a customer pays in cash or with a credit card, we can simply add the percentages of customers who pay with cash and those who use a credit card. Given that 16% pay with cash and 51% use a credit card, the probability is:

Probability of paying in cash or with a credit card = 16% + 51% = 67%

Therefore, the probability that a customer pays in cash or with a credit card is 67% or 0.67.

These probabilities represent the likelihood of different payment methods used by customers in the shop based on the given percentages.

Learn more about subtract here

https://brainly.com/question/25421984

#SPJ11