A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000 feet. What is the angle of depression from the bird (B) to the observer (O)? Right triangle OTB is shown. Side OT is labeled 9,000 and side TB is labeled 6,000. The angle B is labeled x degrees. 33. 69° 41. 81° 48. 18° 56. 31°.

To calculate the ratio of r_l at l=80cm for the thin nichrome wire to the measurement using the thick nichrome wire, we need experimental data for both wires. As it is not provided, it is impossible to provide calculation.

The ratio of r_l at a specific length can be determined by dividing the resistance of the thin nichrome wire at that length by the resistance of the thick nichrome wire at the same length. This ratio will provide information about how  resistance of the thin wire compares to the resistance of the thick wire at a particular length.

However, without the actual experimental data for both wires, including their respective resistances at the specified length of 80cm, it is not possible to generate a specific numerical answer for ratio.

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The given sequence is 460, 451, 442,...

Let's subtract to find the difference in the sequence.

The difference is -9 (d = -9).

Let's use the formula for arithmetic sequences to find the 37th term (n = 37).

Where a1 = 460, n = 37, and d = -9.

The compound inequality to find the range of scores she can make on her final exam to receive a C will be 44.5 ≥ x ≥ 71.5

Based on the information, the inequality will be:

70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79

70 ≥ (331 + 2x) / 6 ≥ 79

420 ≥ 331 + 2x ≥ 474

89 ≥ 2x ≥ 143

44.5 ≥ x ≥ 71.5

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Alaina has scores of 73,83,85,90 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79

Answer: The answer to your question is 6\(\sqrt{3}\)

Step-by-step explanation:

To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.

                          Medium triangle                     Large triangle

hypotenuse                 y                                            9 + 3

adjacent size               9                                               y

- Write the proportions

                                  y/9 = (9 + 3)/y

-Solve for y

                                  y² = 9(12)

                                  y² = 108

                                  y =   \(\sqrt{180}\)

-Find the prime factors of 108

                                  108  2

54 2

                                     27 3

                                      9  3

                                      3   3

                                       1

then,       108 = 2² 3³

-Expressthe root as fractional exponents

                                  2²/² 3²/² 3¹/²

-Simplification

                                   2(3)(3)¹/²

-Result

                                      6\(\sqrt{3}\)

The property which would justify the statement as given in the task content is; Multiplication property of inequalities.

It follows from the task content that the property which justifies the given statement is to be identified.

According to the multiplication property of equality and inequality that;

if x < y; then

ax < at

On this note, since the given statement is; If −5 <−3, then 4(−5)<4(−3), it follows that the required justification is by virtue of the multiplication property of inequalities.

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Answer:

Step-by-step explanation:

x=w/a

Multiply both sides by a

xa=w

If A and B are independent events, it means that the occurrence of one event does not affect the probability of the occurrence of the other event. In other words, the probability of event A happening is the same whether or not event B happens and vice versa.

To illustrate this, let's consider an example. Say we have two events: flipping a coin and rolling a dice. The probability of getting heads on the coin is 1/2 and the probability of rolling a 3 on the dice is 1/6.

These events are independent because the outcome of one event does not affect the outcome of the other event. So, the probability of getting heads on the coin AND rolling a 3 on the dice is (1/2) x (1/6) = 1/12.

Another way to check if two events are independent is to use the formula P(A and B) = P(A) x P(B). If the result of this equation is true, then the events are independent. If not, they are dependent.

Overall, understanding the concept of independent events is important in probability theory because it helps us calculate the probability of multiple events happening simultaneously.

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Step-by-step explanation:

2 squared plus 2 =5

5+2x =7x

7x-3 = 4x

Answer:

Recall each angle in a rectangle is 90 degrees.  So to find the other portion, subtract the given angle from the 90 degrees.

Step-by-step explanation:

The missing measures of the angles are as follows:

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

to determine the measures of the angles:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

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Answer:

16 and 45

Step-by-step explanation:

Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.

Answer:

BA=BC

Step-by-step explanation:

Answer:5/5x-15/x

Step-by-step explanation:

Answer: your answer should be 3x^2 + 10x -75 / 5x.

Step-by-step explanation:

1. Combine multiplied terms into a single fraction

2. Find common denominator

3. Combine fractions with common denominator

4.  Multiply the numbers

5. Re-order terms so constants are on the left

6. Combine exponents

7. Multiply the numbers

8. Rearrange terms

therefore hopefully giving you the answer of 3x^2 + 10x -75 / 5x.

Step-by-step explanation:

Issun Sengeki... Messatsu!

In my opinion, I'd say A and C aren't functions, but B is a function.

The reason being is because every "X" value has a "Y" value. For those that don't have exactly 1 "Y" value aren't functions.

Hope this helps!

Quote:

"The answer lies in the heart of battle."

- Ryu

Answer:

Opposite angles of a parallelogram are congruent, so b = 48.

Angles on the same side of a parallelogram are congruent, so a = 132.

Let me know if this helps!

Answer:

b is probably 48 degrees and a is 132 degrees most likely

Step-by-step explanation:

all the angles of a square should add up to 360 I think so 48+48 is 96

360-96 is 264

264 divided by 2 ( because there are 2 angles left) is 132

I'm really bad at geometry so don't be mad if I'm wrong

The minimum average cost is approximately $810 per bike.

To find the minimum average cost, we need to determine the value of x that minimizes the average cost function.

The average cost is given by the total cost divided by the number of bikes produced. In this case, the average cost function can be defined as:

AC(x) = C(x) / x

Substituting the given cost function C(x) = 4,000 + 4x + 0.4x² into the average cost function:

AC(x) = (4,000 + 4x + 0.4x²) / x

To find the minimum average cost, we need to find the value of x that minimizes the average cost function. We can do this by taking the derivative of the average cost function with respect to x and setting it equal to zero.

AC'(x) = (4 - 0.4x + 0.4x²) / x²

Setting AC'(x) equal to zero:

(4 - 0.4x + 0.4x²) / x² = 0

Multiplying both sides by x²:

4 - 0.4x + 0.4x² = 0

Simplifying the equation:

0.4x² - 0.4x - 4 = 0

Dividing through by 0.4:

x² - x - 10 = 0

Now we can solve this quadratic equation for x. Using the quadratic formula:

x = (-(-1) ± √((-1)² - 4(1)(-10))) / (2(1))

Simplifying further:

x = (1 ± √(1 + 40)) / 2

x = (1 ± √41) / 2

Since we are interested in the number of bikes produced, we take the positive solution:

x = (1 + √41) / 2

Rounding this value to the nearest whole number, the minimum average cost occurs when approximately x = 5 bikes are produced.

To find the minimum average cost, we substitute this value back into the average cost function:

AC(5) = (4,000 + 4(5) + 0.4(5)²) / 5

AC(5) ≈ 810

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Answer:

His total cost is $564.68

Step-by-step explanation:

333.75 + 134.87 + 67.89 = 536.51

536.51 x 0.0525 = 28.17

536.51 + 28.17 = 564.68

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

The required highest common factor of 25, 75, and 150 is 25.

The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.

To find the HCF of 25, 75, and 150, we can first find the prime factorization of each number and then look for the common factors.

Prime factorization of 25,  25 = 5²

Prime factorization of 75:, 75 =  5² × 3

Prime factorization of 150,  150 = 2 × 3² × 5²

The largest factor that all three numbers have in common is 5², which is 25.

So, the HCF of 25, 75, and 150 is 25.

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We have to write the sum of the two algebraic expressions modeled by the algebra tiles and then use the algebra tiles to simplify the expression. Let x be the variable.

Using the algebra tiles for the first expression:

x² + 4x + 3

Using the algebra tiles for the second expression:

3x² - 4x - 1

To sum the two expressions, we will combine the tiles for each variable. So the sum of the two expressions would be:

3x² + x² + 4x - 4x + 3 - 1

We have two algebraic expressions which are modeled by the algebra tiles. We have to sum them up and simplify the expression.Let's first understand the meaning of algebra tiles. Algebra tiles are a manipulative used to solve mathematical equations using visual and kinesthetic methods. They can be used for many topics in algebra including factoring, quadratic equations, and systems of equations. The tiles are a perfect way to help students to visualize algebraic concepts.The two expressions modeled by the algebra tiles are:

x² + 4x + 3and3x² - 4x - 1

We have to add these two expressions and simplify the expression. So, we can start by combining the tiles for each variable. For instance, we can combine all the tiles with x². We get 4 tiles of x² for the first expression and 3 tiles of x² for the second expression. Combining them will give us a total of 7 tiles of x².Next, we can combine all the tiles with x. We get 4 tiles of x for the first expression and -4 tiles of x for the second expression. Combining them will give us 0 tiles of x.Finally, we can combine all the constant tiles. We get 3 tiles of constant for the first expression and -1 tile of constant for the second expression. Combining them will give us 2 tiles of constant.Thus, the sum of the two algebraic expressions modeled by the algebra tiles will be:

3x² + x² + 4x - 4x + 3 - 1

On simplifying, we get: 4x² + 2.

The sum of the two algebraic expressions modeled by the algebra tiles is 4x² + 2.

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3 equals number of dogs:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The relationship is “hours multiplied by 3 equals the number of dogs.”

Answer:

join

Step-by-step explanation:

meet./vyc-hwbw-svg

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

(1)

Here m = 2 and (a, b) = (- 1, 3 ) , then

y - 3 = 2(x - (- 1) ), that is

y - 3 = 2(x + 1)

(2)

Here m = - 5 and (a, b) = (4, 0 ) the coordinates of the x- intercept

y - 0 = - 5(x - 4) , that is

y = - 5(x - 4)

The probability that somebody chose not chow mein as their favorite food in simplest form is 7/8.

The probability of an event is  described as a number that indicates how likely the event is to occur which is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

From the total responses see, the number of people who did not choose chow mein as their favorite food is found below:

19 + 8 + 4 + 3 + 1 = 35.

Therefore, Probability (not chow mein) = 35 / (19 + 8 + 5 + 4 + 3 + 1) = 35 / 40 = 7/8

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If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be (1,-2), (1,-7), (-3, -6), and (-3, -1).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Parallelogram JKLM has vertices J(2, 1), K(7, 1), L(6, −3), and M(1, −3).

If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be

J(2, 1) → (1, -2)

K(7, 1) → (1, -7)

L(6, −3) → (-3, -6)

M(1, −3) → (-3, -1).

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Therefore, the value of the test statistic is 1.71.

The test statistic calculates the standard errors that separate the sample percentage from the predicted population proportion. The null hypothesis, which in this case is that the genuine proportion of readers who own the specific make of automobile is not greater than 58%, is stronger evidenced by a larger absolute value of the test statistic.

We must apply the following formula to determine the test statistic's value:

Z = (P - p) / (p*(1-p)/n), where P is the sample proportion, p is the hypothesised population proportion (0.58 in this case), n is the sample size (300), and sqrt stands for the square root.

By replacing the given values, we obtain the following result, which is rounded to two decimal places: z = (0.62 - 0.58), (0.58 * 0.42 / 300), z = 1.71.

The test statistic is positive, which indicates that the sample percentage of 62% exceeds the population proportion predicted by 58%. The difference between the sample proportion and the predicted population proportion is 1.71 standard errors distant from the mean, according to the value of 1.71. This indicates that the sample proportion is statistically significant at the 0.02 level, but in order to draw a firm conclusion, we must compare it to the critical value.

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The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

2,355 ft^3

Step-by-step explanation:

Answer:

2,235 ft^3

Step-by-step explanation: