Figure abcd is a rectangle. Find the value of EC

Answer:

Step-by-step explanation:

tan (60)=(sin 60)/cos 60=(√3/2)/(1/2)=√3≈1.732

The value of expression tan 60° is,

⇒ tan 60° = √3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find the value of expression tan 60°

Now, We can find the value of expression as;

⇒ tan 60°

⇒ sin 60° / cos 60°

⇒ (√3 / 2) / (1 / 2)

⇒ √ 3

Thus, The value of expression tan 60° is,

⇒ tan 60° = √3

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The conclusion of the hypothesis is that we fail to reject the null hypothesis and conclude that the means are different.

Let us first define the hypothesis;

Null Hypothesis; H₀: μ_a = μ_b

Alternative Hypothesis; Hₐ: μ_a ≠ μ_b

From the given significance value, we can say that we will reject H₀ if the calculated test statistic is greater than 2.797 or t is less than 2.797.

The pooled variance from the attached table with the aid of a statistics calculator gives;

Pooled variance = 0.5938

The test statistic from online calculator is; t = -3.299 or 3.299

This test statistic falls falls within the rejection region and so we reject the null hypothesis and conclude that there is a difference in the average errors of the two processes.

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Answer:

4/6

Step-by-step explanation:

If she spend four times 1/6 of an hour that's 4/6.

If you divide \(\frac{18r^4s^5t^6}{-3r^2st^3}\), the result include the following: C. -6r²s⁴t³.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce the following mathematical expression;

\(\frac{18r^4s^5t^6}{-3r^2st^3}\)

By simplifying or dividing in parts while using the law of indices for division, we have the following:

18r⁴/-3r² = -6r⁴⁻² = -6r²

s⁵/s = s⁵⁻¹ = s⁴

t⁶/t³ = t⁶⁻³ = t³

Lastly, we would combine the output values or results above;

\(\frac{18r^4s^5t^6}{-3r^2st^3}\) = -6r²s⁴t³.

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Complete Question:

What is the result if you divide \(\frac{18r^4s^5t^6}{-3r^2st^3}\)?

A. 6r²s⁴t³

B. 6r²s⁵t³

C. -6r²s⁴t³

D. -6r²s⁵t³  

Using translation concepts, the coordinates of G after it is ROTATED 90 DEGREES CLOCKWISE are given by: (3,4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

The rule for a 90º clockwise rotation is given by:

(x,y) -> (y, -x).

From the figure given for the problem, the coordinates of G are given as follows:

G(-4,3).

Applying the rule, we have that:

(-4,3) -> (3, 4), as y = 3, -x = -(-4) = 4.

Hence the coordinates of G after it is ROTATED 90 DEGREES CLOCKWISE are given by: (3,4).

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Answer:

Step-by-step explanation:

L=2W+1

A=L*W

A=(2W+1)*W=45

We have two mathematical solutions, but only one viable

2W^2+W=45

w=-5 not valid

w=4.5 cm valid solution

L=10cm

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Hope it helps XD

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

The length of material that Mrs. Rodriguez have left to use on the smaller dress is calculated to be  521 \(\frac{2}{3}\) yards of material left to use on the smaller dress.

To determine how much material Mrs. Rodriguez will have left to use on the smaller dress, we need to subtract the amount of material used for the larger dress from the total amount of material available.

First, we need to convert the mixed number of the larger dress material requirement to an improper fraction:

3 \(\frac{23}{3}\) = (3 x 3 + 23)/3 = 32/3

So, the larger dress requires 32/3 yards of material.

Next, we can subtract this amount from the total amount of material available:

613 \(\frac{1}{3}\) - 32/3

To subtract these two values, we need to have a common denominator:

613 \(\frac{3}{9}\) - 32/3

Now we can subtract the fractions:

= 613 \(\frac{23}{3}\)- 96/9

= 617 \(\frac{2}{3}\) - 96/9

= 521 \(\frac{2}{3}\)

Therefore, Mrs. Rodriguez will have 521 \(\frac{2}{3}\) yards of material left to use on the smaller dress.

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The maximum angle of the incline for the car to be at rest using only friction is 38.7° if, for the car on the incline, the coefficient of static friction is 0.8 and the coefficient of kinetic friction is 0.6.

If the car is at rest on the incline, the force of gravity acting on the car down the incline is balanced by the force of static friction acting up the incline. The maximum angle \($\theta$\) of the incline is the angle at which the force of static friction is at its maximum, which is given by the product of the coefficient of static friction and the normal force.

Let's assume that the mass of the car is m and the incline makes an angle of \($\theta$\) with the horizontal. Then, the force of gravity acting on the car down the incline is given by \($mg\sin(\theta)$\), where g is the acceleration due to gravity. The normal force acting on the car perpendicular to the incline is given by \($mg\cos(\theta)$\).

For the car to be at rest on the incline, the force of static friction acting up the incline must be equal in magnitude to the force of gravity down the incline. Therefore, we have:

\($$\mu_s mg\cos(\theta) = mg\sin(\theta)$$\)

here \($\mu_s$\) is the coefficient of static friction. Simplifying this equation,

we get:

\($$\tan(\theta) \leq \mu_s$$\)

Therefore, the maximum angle \($\theta$\) of the incline is:

\($$\theta \leq \tan^{-1}(\mu_s)$$\)

Substituting the value of \($\mu_s = 0.8$\), we get:

\($$\theta \leq \tan^{-1}(0.8) \approx 38.7^{\circ}$$\)

Therefore, the maximum angle of the incline for the car to be at rest using only friction is approximately 38.7°.

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Answer:

24.9 or 25 (if you round it)

Step-by-step explanation:

15.5^2 + 19.5^2 = d^2

380.3 + 240.3 = d^2

620.6 = d^2

d = 24.9

Answer:

24.91 in

Step-by-step explanation:

The question is pretty much just asking you to find the diagonal of the rectangle. To do this, you can use the Pythagorean Theorem, which is A²+B²=C². A and B stand for the height and width, and C stands for the diagonal, or hypotenuse.

You know that the height is 15.5 and the width is 19.5. Put those numbers into the Pythagorean Theorem formula and you get 240.25 + 380.25 = C².

Next, combine the two numbers on the left to get 620.5. In order to get the C by itself and solve the equation, you need to find the square root of C². To keep the equation equal though, you need to also find the square root of 620.5.

After finding the square root of both and rounding to the nearest hundredth as the problem says, you will be left with 24.91 = C, which is your final answer as C equal the diagonal of the rectangle.

I hope this helps! ☺

Answer:

c

Step-by-step explanation:

This question is based on the trigonometry. Therefore, the correct option is C,  i,e.  \([\dfrac{-\pi}{2} ,\dfrac{\pi}{2}]\) is the range of \(Sin^{-1} x\).

Given:

Function is y = \(Sin^{-1} x\).

We need to determined the range of the function  y = \(Sin^{-1} x\).

As we know that,

Domain of \(Sin^{-1} x\) is −1 ≤ \(Sin^{-1} x\) ≤ 1.

By using the graph of y = \(Sin^{-1} x\) . we would be find the range.

We observe in graph that,

The upper limit of graph of given function is \(+\dfrac{\pi}{2}\).

And, the lower limit of graph of given function is \(-\dfrac{\pi}{2}\).

Thus, the range of  y = \(Sin^{-1} x\) function is \([\dfrac{-\pi}{2} ,\dfrac{\pi}{2}]\).

Therefore, the correct option is C,  i,e.  \([\dfrac{-\pi}{2} ,\dfrac{\pi}{2}]\) is the range of \(Sin^{-1} x\).

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Answer:

5 nights.

Step-by-step explanation:

215=35x+40

The probability that a voter is either female or Democrat is 0.64 or 64%.

To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.

From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.

To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).

So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.

Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.

Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.

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Answer:

  C) The difference between the 75th and 25th percentiles is 12 inches.

Step-by-step explanation:

The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.

For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.

The gambler's payoff has a standard deviation of $1. The gambler can expect to win or lose $1 on average for each coin flip, and there is a high degree of variability in the possible outcomes of the game.

The standard deviation of the gambler's payoff can be calculated using the following formula:

σ = √(Σ(xi - μ)^2 * P(xi))

where σ is the standard deviation, xi is the possible outcome of the game, μ is the expected value of the game, and P(xi) is the probability of each outcome.

In this case, there are two possible outcomes: winning $1 with probability 1/2 and losing $1 with probability 1/2. The expected value of the game is:

μ = (1/2 * $1) + (1/2 * -$1) = $0

To calculate the standard deviation, we need to determine the variance first. The variance can be calculated as:

σ^2 = Σ(xi - μ)^2 * P(xi)

= (1 - 0)^2 * 1/2 + (-1 - 0)^2 * 1/2

= 1

Therefore, the standard deviation is:

σ = √1 = 1

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You are right about the domain.

To solve for x, we need to use the properties of angles in a circle. We know that the measure of the central angle JIH is 74 degrees. We are also given that the measure of arc JH is (3x-39) degrees.

The angle ∠JIH is given as 74°, and the measure of arc JH is (3x-39)°. In a circle, the measure of an angle formed by an inscribed arc is half the measure of the arc. Therefore, we have: 74° = 1/2 * (3x-39)°. To solve for x, we can simplify the equation: 148 = 3x - 39, Adding 39 to both sides, we get: 187 = 3x . Dividing both sides by 3, we find: x = 62.3. Therefore, the value of x is approximately 62.3 when the measure of arc JH is (3x-39)°.

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Answer:

w(C(L))= 0.25 |L - 105|

Step-by-step explanation:

you plug in C(L) into  L in w(L)

The volume of an ice cube produced by this machine is of:

Volume ice cube = 1 inch³

  A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.

If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:

Volume cube = side x side x side

Volume cube = side³

side = 1 inch

Volume ice cube = 1 inch³

As the side is 1 the volume and area will be 1 but with corresponding unit

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Answer:

if you see this say hi pls

Step-by-step explanation:

Answer:

y > 2

Step-by-step explanation:

Given

14y - 14 > 14 ( add 14 to both sides )

14y > 28 ( divide both sides by 14 )

y > 2

Answer:

In the top green thing goes X in the bottom one it goes Y

X: 1,2,3,4,5

Y: 20, 28, 36, 46, 52

Step-by-step explanation:

Answer:

The equation of the line that passes through points is m = 6/4

Step-by-step explanation: sorry if this is wrong

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.

A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.

Some of the most typical varieties are listed below:

Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.

Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.

Square - A rectangle with equally long sides.

Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.

Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.

Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.

Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.

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Answer: B- Sabrina’s work 5+c+c+c -4. Hope this helps !! :)

Answer: B 5 + c + c + c minus 4 = 3 c minus 1

I got this right on Edg 2021

Hope this helps :)

Answer:

a=apples

b=bananas

s=strawberries

6a, 12b, 14s

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

y=4-(4/5)x or y= -4/5x+4

Step-by-step explanation:

4x+5y=20

5y=20-4x

y=(20-4x)/5

y=(20/5)-(4x/5)

y=4-(4/5)x or y= -4/5x+4