Angels family is driving to their grandmothers house, which is 325 miles away.
After they drive 26 miles, what percent of the distance have they traveled?

The Answer of the given question based on the triangle is angle ∠α ≈ 56.4° degrees , angle ∠β ≈ 33.6° degrees , side C ≈ 14.4° units.

In a right triangle, the hypotenuse is the longest side and it is opposite the right angle. It is the side that is directly opposite the right angle and is always opposite the largest angle of the triangle. The hypotenuse is also the side that connects the two legs of the right triangle. The length of hypotenuse can be found using Pythagorean theorem.

From the problem statement, we know that angle ∠gamma = 90° degrees, which means that BC is the hypotenuse of the right triangle. We also know that side A = 12 and side B = 8.

Using Pythagorean Theorem, we can find length of  hypotenuse by:

c² = a² + b²

c² = 12² + 8²

c² = 144 + 64

c² = 208

c = √(208)

c ≈ 14.4

So the length of BC is approximately 14.4 units.

To find the altitude CA, we can use the formula for the area of a right triangle:

area = (1/2) * base * height

Since angle gamma = 90° degrees, the altitude CA is equal to the length of side A:

CA = A = 12 units.

Now we can use the trigonometric ratios to find the acute angles∠α and :

sin(α) = opposite/hypotenuse = CA/c

sin(α) = 12/14.4

α ≈ 56.4° degrees

Since α and gamma are complementary angles (they add up to 90° degrees), we can find β using the following formula:

β = 90 - α

β ≈ 33.6° degrees

Therefore, the unknown values for the given right triangle are:

angle ∠α ≈ 56.4° degrees

angle ∠β ≈ 33.6° degrees

side C ≈ 14.4° units.

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The probability of being male and passing the test is 0.4.

The probability of being male and passing the test can be calculated using the formula for independent events: P(A and B) = P(A) × P(B).

In this case, A represents being male (P(A) = 0.5), and B represents passing the test (P(B) = 0.8).
Step 1: Identify the probabilities of the independent events.
P(A) = 0.5 (being male)
P(B) = 0.8 (passing the test)
Step 2: Apply the formula for independent events.
P(A and B) = P(A) × P(B)
P(being male and passing the test) = P(being male) × P(passing the test)
Step 3: Calculate the probability.
P(being male and passing the test) = 0.5 × 0.8 = 0.4
So, the probability of being male and passing the test is 0.4.

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Answer:

x > -1

Step-by-step explanation:

8x - 4 > 3x - 9

5x - 4 > -9

5x > -5

x > -1

Answer:

We can start by using algebra to solve for the total goal of the canned food drive. Let's let "g" be the total goal in number of cans.

If 600 cans is 80% of their goal, then we can write:

0.8g = 600

To solve for "g", we can divide both sides by 0.8:

g = 600 / 0.8

g = 750

So the total goal of the canned food drive is 750 cans.

To find out how many more cans the students need to collect to reach their goal, we can subtract the number of cans they've already collected from the total goal:

750 - 600 = 150

Therefore, the students need to collect 150 more cans to reach their goal.

Answer:

Step-by-step explanation:

To find out how many people in the United States did not live in Texas in 1900, we can subtract the population of Texas from the population of the United States:

Number of people in the United States who did not live in Texas = Population of the United States - Population of Texas

Number of people in the United States who did not live in Texas = 76.1 million - 3.05 million

Number of people in the United States who did not live in Texas = 73.05 million

Therefore, about 73.05 million people in the United States did not live in Texas in 1900.

Answer: 73.05 million people in the United States did not live in Texas in 1900.

Step-by-step explanation:

The 1s in 14.937 and 6.1225 have distinct values. The digit 1 in 14.937 is in the thousandths place, representing a value of 0.001, but the digit 1 in 6.1225 is in the hundredths place, representing a value of 0.01.

When we compare the values of the 1s in these two numbers, we can observe that the 1 in 6.1225 is 10 times bigger than the 1 in 14.937. This is due to the fact that the place value of digit 1 in 6.1225 is ten times bigger than the place value of digit 1 in 14.937. It should be noted that while comparing the values of digits in numbers, their location or place value is a significant consideration. Even the smallest Changes in a digit's location can have a substantial influence on its total value. The variation in place value of the 1s in 14.937 and 6.1225 leads in a considerable disparity in their respective values in this situation.

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Answer: If Ava sells a $365 laptop, then she will make $91.25 in commissions.

Step-by-step explanation: 25% of 365 is 91.25

Answer:

In this problem, we have a right triangle where the hypotenuse is the 30-foot support cable and one leg is 22 feet (the distance from the base of the pole to where the cable is attached). To find the angle that the cable makes with the ground, we need to use trigonometry. The tangent of an angle in a right triangle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, we want to find tan(θ), where θ is the angle between the cable and the ground. Therefore, tan(θ) = opposite/adjacent = 22/30 = 0.7333. Taking inverse tangent on both sides gives us θ = tan^-1(0.7333) ≈ 36.7 degrees to one decimal place. Therefore, to the nearest tenth, the measure of the angle that the cable makes with the ground is approximately 36.7 degrees.

Answer:

búscalos

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

2/5 can be converted into 6/15 by multiplying the numerator and denominator by 3. The next number between 6 and 8 is 7, so the answer is 7/15.

The unit digit of the given sum [tex]1998^{1999}-1999^{1998}[/tex] is one according to the one's place of 8 and 9 powers.

Here, we need to find the unit digit of [tex]1998^{1999}[/tex] :

8 power of any dight will give us the unit digit of 8, 4, 2 and 6.

Here 8 has power 9.

Then the unit place of the sum will be equal to 2.

Similarly, we need to find the sum of other one.

Other sum: [tex]1999^{1998}[/tex]

9 power of 8

9 power of odd numbers will give 9 as unit digit.

9 power of even numbers will give 1 as unit digit.

Here, we have 8 as power the, we will get the unit digit as 1.

Now we need to simplify the sum.

Unit digit of  [tex]1998^{1999}-1999^{1998}[/tex] is equal to 2 - 1 = 1.

The unit digit of the given sum [tex]1998^{1999}-1999^{1998}[/tex] is one.

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The surface area of the prism is 264m²

A prism is a solid shape that is bound on all its sides by plane faces. There are different types of prism but the specific one we will be talking about here is triangular based prism.

The surface area of a prism is obtained by adding the area of the faces. Therefore surface area = 2B +ph

area of the base = 1/2 bh

= 1/2 × 6 × 8

= 1/2 × 48

= 24m²

using Pythagoras theorem, the hypotenuse of the triangle = √ 6²+8²

= √ 36+64

= √100 = 10m

perimeter of the base = 6+8+ 10

= 24m

Therefore SA = 2×24 + 24 × 9

= 48 + 216

= 264m²

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The critical value to be used in conducting a Lagrange multiplier test for second-order autocorrelation at the five-percent level of significance is 3.84.

The Lagrange multiplier test is a technique for testing hypotheses concerning the existence of structure in the disturbance term of regression models. In a variety of econometric models, the presence of autocorrelation (serial correlation) and heteroscedasticity are two examples of such structures.

The LM test is used to determine whether or not autocorrelation is present in a regression model, with the null hypothesis being that there is no autocorrelation. The null hypothesis is always of the form that there is no structure in the disturbance term, i.e. that the errors are not autocorrelated, and the alternative hypothesis is always of the form that some or all of the coefficients are nonzero, indicating the presence of autocorrelation or heteroscedasticity.

The critical value for the Lagrange multiplier test is calculated using a chi-squared distribution, with the degree of freedom being equal to the number of coefficients tested.

The formula for the Lagrange multiplier statistic is given:

LM = T * R² where T is the sample size and R² is the coefficient of determination for the regression.

This value is compared to the critical value of the chi-squared distribution with one degree of freedom to determine whether or not to reject the null hypothesis of no autocorrelation.

The level of significance of the test determines which critical value to use. In this case, the level of significance is 5 percent, so the critical value is 3.84.

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The area οf the sectοr bοunded by a 180 degrees arc with a radius οf 6 inches is 18π square inches.

The area οf a sectοr bοunded by a central angle θ and radius r is given by the fοrmula:

A = (θ/360) x πr²

In this case, the central angle is 180 degrees and the radius is 6 inches.  we get:

A = (180/360) x π(6²)

= (1/2) x π x 36

= 18π

Therefοre, the area οf the sectοr bοunded by a 180 degrees arc with a radius οf 6 inches is 18π square inches.

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The probability of class failure is 7%. If 56 students take a class, the expected number of students who will fail the class is 4.

We will use the above formula to find the expected value of class failure. Let x be the number of students expected to fail the class.

Expected value = Probability x Total number of trials

The probability of class failure is 7%, so the probability of passing the class is 100% - 7% = 93%. The total number of trials is the total number of students taking the class, which is 56. Putting these values into the formula gives us:

Expected value = 7% x 56
Expected value = 0.07 x 56
Expected value = 3.92

We cannot have a fraction of a student, so we can round this number up to get the expected number of students who will fail the class.

Therefore, the expected number of students who will fail the class is 4.

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The average angular velocity during the dive is option b, 3 π/ √2=rad/s.

The height of the platform, h = 10 m

The number of revolutions made by the diver = 2.5 revolutions = 5π radThe initial velocity of the diver = 0

The final velocity of the diver:

We know,

The formula for final velocity in terms of initial velocity, acceleration, and distance is given as;

v² = u² + 2

Here, Initial velocity, u = 0

Final velocity, v =

Acceleration due to gravity, a = 9.8 m/s²

Distance, s = h = 10 m

Therefore, v² = 0 + 2 × 9.8 × 10v²

   = 196v = √196v = 14.00 m/s

We know, the formula for average angular velocity is given as;

ω = θ/t

Here, angular displacement, θ = 5π rad

Time taken, t

We know, the formula for time taken is given as;

t = √2h/g

Here, height of the platform, h = 10 m

Acceleration due to gravity, g = 9.8 m/s²

Therefore,t = √2 × 10/9.8t = 1.427 s

Substituting the values of θ and t in the formula for average angular velocity, we get;

ω = θ/tω = 5π/1.427ω = 3.5 π/ √2rad/s

Therefore, the average angular velocity during the dive is option b, 3 π/ √2=rad/s.

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When the numerator of a certain fraction is a quarter of the value of the whole fraction, the value of the denominator of that fraction is four times the value of the numerator

The denominator of a certain fraction is a number that divides the numerator to produce a fraction. The fraction has two parts, the numerator, and the denominator. The numerator is the top part of a fraction, and the denominator is the bottom part of the fraction. When the numerator of a certain fraction is a quarter of the value of the whole fraction, the value of the denominator of that fraction can be calculated using a mathematical formula.

The mathematical formula for calculating the value of the denominator of a certain fraction is to divide the numerator by the quarter. This is because the numerator is a quarter of the value of the whole fraction. Therefore, the formula is represented as:D = N/1/4where D is the denominator, and N is the numerator of the fraction.To solve for D, we multiply both sides by the reciprocal of the fraction:1/4 = 4/1, so we have:D = N x 4/1D = 4N/

Therefore, the value of the denominator of the fraction is four times the value of the numerator. If the numerator of the fraction is 2, then the denominator of the fraction is 8. In summary, when the numerator of a certain fraction is a quarter of the value of the whole fraction, the value of the denominator of that fraction is four times the value of the numerator.

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Answer:

Step-by-step explanation:

Answer:4/3

Answer:

The tangent of the larger acute angle in a right triangle with side lengths 10, 24, and 26 is 12/5.

Step-by-step explanation:

In a right triangle, the hypotenuse (the side opposite the right angle) is the longest side.

Therefore, in a right triangle with side lengths 10, 24, and 26, the hypotenuse measures 26 units and the legs measure 10 and 24 units.

In a right triangle:

Therefore, the largest acute angle is between the hypotenuse and the shortest leg, which means the side opposite the angle is the longest leg.

The tangent ratio is the ratio of the side opposite the angle to the side adjacent the angle.

Therefore the tangent of the largest acute angle is:

[tex]\implies \sf \dfrac{O}{A}=\dfrac{24}{10}=\dfrac{12}{5}[/tex]

Thus, the explicit formula for the simple interest sequence A(n) = P + (n-1)(i.P) is: A(n) = P * (1 + i * (n-1)).

Simple interest is a method of calculating interest on a loan or investment where interest is charged only on the initial principal amount. In simple interest, the interest rate is applied to the original principal amount, and the interest earned remains the same throughout the entire term of the loan or investment.

by the question.

The formula for a simple interest sequence A(n) = P + (n-1) (i.P) represents the value of an investment that earns simple interest over n periods, where:

A(n) is the value of the investment after n periods.

P is the principal or initial investment

i is the interest rate per period as a decimal fraction (e.g. 0.05 for 5%)

n is the number of periods

To derive the explicit formula for A(n), we can use the formula for simple interest:

I = P * i * n

where I am the total interest earned over n periods. We can then express A(n) as:

A(n) = P + I

Substituting the expression for I, we get:

A(n) = P + P * i * (n-1)

Simplifying, we can factor out P to get:

A(n) = P * (1 + i * (n-1))

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The subtraction of the polynomials (3.1x + 2.8z) - (4.3x - 1.2z) is -1.2x + 4x

A polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.

(3.1x + 2.8z) - (4.3x - 1.2z)

open parenthesis

3.1x + 2.8z - 4.3x + 1.2z

combine like terms

3.1x - 4.3x + 2.8z + 1.2z

-1.2x + 4x

Ultimately, -1.2x + 4x is the results of the subtraction of the polynomial.

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The minimum number of people over age 32 they must include in their sample or sample size is equals to the 486.

In this question, we will use the margin of error of the 98% confidence interval for the population mean to determine the minimum sample size. We have to provide following informations for consumption of milk per week among people over age 32.

Mean = 3.1 liters

Confidence interval = 98%

Maximum/Margin of error = 0.1 liters

Standard deviations = 0.9 liters

level of significance, α = 1 - 0.98 = 0.02

or α/2 = 0.01

We have to determine the sample size for people over age 32 they must include in their sample. The margin of error is calculated by multiplying a key factor (for a certain level of confidence) by the population standard deviation. The result is then divided by the square root of the number of observations in the sample. Mathematically, [tex] ME =Z_{\frac{\alpha}{2}}\sqrt{ \frac{ σ}{n} }[/tex]

Using the Z-distribution table, value of z for 98% of confidence interval is 2.326. Substituting the known values in above formula, 0.1 = 2.326 √0.9/n

=> √0.9/n = 0.1/2.33 = 0.043

=> 0.9/n = (0.043)² = 0.001849

=> n = 0.9/0.00185

=> n = 486.4865 ~ 486

Hence, required sample size is 486.

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Answer: She has 10$ to save

Step-by-step explanation:

Elsia has 30$ to start her week. She spent 10 on food and drink, (30-10=20) 5 on entertainment, (20-5=15), and 5 on Misc. things. (15-5=10). This means that the answer is 10.

Steps:

30-10=20

20-5=15

15-5=10

I hope it helped! :D

Therefore, the cylinders arranged in order from least volume to greatest volume are:

Cylinder with diameter 28 units and height 18 units

Cylinder with radius 13 units and height 17 units

Cylinder with radius 12 units and height 20 units

Cylinder with diameter 30 units and height 14 units

Volume is the measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters or cubic feet. The formula for finding the volume of a solid depends on the shape of the object. For example, the volume of a cube can be found by multiplying the length, width, and height of the cube, while the volume of a sphere can be found using the formula (4/3)πr³, where r is the radius of the sphere.

Here,

To compare the volumes of the given cylinders, we need to use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. Let's calculate the volumes of the given cylinders:

Cylinder with diameter 28 units and height 18 units:

radius = 14 units

volume = π(14²)(18)

= 8,365.98 cubic units

Cylinder with radius 13 units and height 17 units:

volume = π(13²)(17)

= 8,724.68 cubic units

Cylinder with diameter 30 units and height 14 units:

radius = 15 units

volume = π(15²)(14)

= 9,420.98 cubic units

Cylinder with radius 12 units and height 20 units:

volume = π(12²)(20)

= 9,014.47 cubic units

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Answer:

Step-by-step explanation:

To solve this question, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the total amount of money after t years

P is the initial principal (in this case, $600)

r is the annual interest rate (4%)

n is the number of times the interest is compounded per year (12, for monthly compounding)

t is the number of years

Plugging in the values, we get:

A = 600(1 + 0.04/12)^(12*14)

A = 600(1.00333)^168

A = $988.42 (rounded to two decimal places)

So, after 14 years, Levi will have approximately $988.42 in his account.

The answer is option A, pet ownership is the independent variable.

In experimental research, an independent variable is the variable that is manipulated by the researcher to determine its effect on the dependent variable. In this case, the independent variable is pet ownership, which is being studied to determine its effect on the health and lifespan of pet owners.

The dependent variable, in turn, is the health and lifespan of pet owners, which is expected to be influenced by their pet ownership status.

It is important to note that the relationship between pet ownership and health/lifespan could be influenced by other factors, such as age, income, or lifestyle. These other factors are known as spurious variables and can confound the relationship between the independent and dependent variables.

Operational variables, on the other hand, refer to how the researcher measures or manipulates the independent and dependent variables.

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The missing side length for the triangle is given as follows:

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle of 60º on the triangle, we have that:

The tangent of 60º is equals to the square root of 3, hence the value of x is obtained as follows:

tan(60º) = 16/x

[tex]\sqrt{3} = \frac{16}{x}[/tex]

[tex]x = \frac{16}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

The triangle is given by the image presented at the end of the answer.

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Answer:

4

Step-by-step explanation:

4+6=10

The college instructor is most concerned with equity standards.

Equity standards are when an instructor adjusts grades to ensure fairness to all students regardless of their individual performances.

This means that if a class as a whole does not do as well as last year, the instructor will alter the distribution of grades so that the overall grades reflect the effort put in by the class.

For example, if the class average is a C, the instructor may raise some grades to a B or even A in order to ensure that the grades are fair to all students in the class.

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Answer:

Step-by-step explanation:

holy mocacrise

Answer:

The function h(t) = -16t^2 + 112t + 60 is a quadratic function, which means it is defined for all real numbers.

Therefore, the domain of h(t) is the set of all real numbers. In interval notation, we can express this as:

Domain of h(t): (-∞, ∞)

you estimate that your UA climbed to an altitude greater than 400 feet above ground level (AGL), you must submit a written report of the deviation to the Federal Aviation Administration (FAA).

If you are operating a small unmanned aircraft (UA) and have had a near mid-air collision (NMAC) with a manned airplane, and you estimate that your UA climbed to an altitude greater than 400 feet above ground level (AGL), you must submit a written report of the deviation to the Federal Aviation Administration (FAA).

According to the FAA regulations, any UAS operator involved in an NMAC with a manned aircraft must submit a report to the FAA within ten days of the incident. This report must include the date, time, and location of the incident, as well as a detailed description of the events leading up to the NMAC.

You can submit the report online via the FAA's Aviation Safety Reporting System (ASRS) website. The ASRS is a voluntary reporting system that allows pilots and UAS operators to report incidents without fear of enforcement action, provided that the incident was not a result of reckless or intentional behavior.

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