609.0÷14
what is the anawer​

Answer:

80 ft²

Step-by-step explanation:

You are given the formula

a = (1/2)bh

Just plug in the base and height, then multiply

a = (1/2) * 8 *20

a = (1/2) * 160

a = 80 ft²

Answer:

80 \(ft^{2}\)

Step-by-step explanation:

Area = \(\frac{1}{2} bh\)

Area = \(\frac{1}{2}\) 8 · 20

Area = \(\frac{1}{2}\) 160

Area = 80 \(ft^{2}\)

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.

However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.

Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.

In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.

Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.

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To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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Answer:

3/10

Step-by-step explanation:

If you flip 10/3 you get 3/10

Answer:

Step-by-step explanation:

Let x represent the number of questions that Tim got right in the math test.

The number of questions that Tim got wrong in the math test is 10.

If the total number of questions on the math test is q, it means that

x + 10 = q

If he received 4 points for every correct answer and there was no penalty for wrong answers, it means that he received 0 point for a wrong answer. If

his score was 76 points, it means that

4x + 0 × 10 = 76

4x = 76

Therefore, the required equations are

x + 10 = q

4x = 76

Answer:

the equation would be 4(q-10)=76

and the amount of questions would be 29

Step-by-step explanation:

i did the test and i got this right! hope this was helpful!

Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

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Answer:

direct proof, proof by contradiction, and proof by induction.

Answer:

+6

Step-by-step explanation:

Just do \(0 -(-6)\).

Answer:

The measure of the angle is 22 degrees.

Answer:

6 1/6

Step-by-step explanation:

Answer:

h = √72 in.

Step-by-step explanation:

Height of the cone using pythagorean theorem, a² + b² = c², where:

a = h

b = ½(6) = 3 in.

c = 9 in.

Plug in the values

h² + 3² = 9²

h² + 9 = 81

h² + 9 - 9 = 81 - 9

h² = 72

h = √72

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The measure of angle 1 is 65⁰, measure of angle 2 is 25⁰ and the measure of angle 3 is 70⁰.

The value of the missing angles is calculated by applying the following equation as shown below.

According to intersecting chord theorem, the angle formed by the intersection of two chords at the circumference is equal to half of the angles of the arc.

The arc angle ED = 130⁰

angle 1 is the angle formed by the intersection of the two chords with arc ED.

∠1 = ¹/₂ x 130⁰

∠1 = 65⁰

The value of angle 2 is calculated as;

∠1 + ∠2 = 90⁰ (complementary angles)

∠2 = 90 - ∠1

∠2 = 90 - 65

∠2 = 25⁰

The value of arc DB = 140⁰

angle 3 is opposite are DB, so the value of angle 3 is calculated as;

∠3 = ¹/₂ x 140⁰

∠3 = 70⁰

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The product of given numbers is 384400.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Given that, the moon is in an orbit around the earth, and the length of this

orbit is 3.844×100,000 kilometers.

Here, 3.844 multiplied by 1 we get 3.844

When multiplying decimals by 100000, the digits shift five places to the left.

That is, 384400.0

Therefore, the product of given numbers is 384400.

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Answer:

294in²

Step-by-step explanation:

Let the width be x

Perimeter = 2(length+width)

98 = 2(6x + x)

49 = 6x + x

49 = 7x

7 = x

The width is 7 and the length is 7 x 6 = 42

Area = length × width

42 × 7 = 294in²

Answer:

m=25/28

Step-by-step explanation:

To transform congruent triangle a to triangle b: vertical reflection, then horizontal reflection and then 90° counter clockwise direction.

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.

Triangles a and b are congruent to each other. So when we flip them the sequence which would transform triangle a to triangle b is vertical reflection, then horizontal reflection and then 90° counter clockwise direction.

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The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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The equation of the circle with endpoints of a diameter at (-14, -3) and (-4, -1) in standard form is (x + 9)² + (y + 2)² = 65/4, where the center is (-9, -2) and the radius is √(65)/2.

To find the equation of a circle in standard form, we need to know the center and the radius of the circle.

The midpoint of the diameter is the center of the circle, which can be found using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-14 + (-4))/2, (-3 + (-1))/2)

Midpoint = (-9, -2)

The radius can be found by using the distance formula to find the distance between one of the endpoints and the center:

r = √((x2 - x1)² + (y2 - y1)²)/2

r = √((-4 - (-9))² + (-1 - (-2))²)/2

r = √(65)/2

Putting it all together, the equation of the circle in standard form is:

(x + 9)² + (y + 2)² = 65/4

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The universal set for sets A, B, and C is {0, 1, 2, 3, 4, 5, 6, 8}.

The universal set is the set that contains all the elements under consideration. In this case, we have three sets: A, B, and C. To determine the universal set for all three sets, we need to identify the set that includes all the unique elements from each of the individual sets.

Set A contains the elements {1, 3, 5}, Set B contains the elements {2, 4, 6}, and Set C contains the elements {0, 2, 4, 6, 8}. To form the universal set, we need to combine all these elements without any repetition.

By observing the elements in Sets A, B, and C, we can see that the universal set would be the set that includes all the unique elements from these sets. Therefore, the universal set for all three sets is the set that contains {0, 1, 2, 3, 4, 5, 6, 8}.

This means that any element that is present in at least one of the sets A, B, or C is included in the universal set. It covers all the possible elements that can be found in these sets.

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Question

If set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then write the universal set for all three sets.

Step-by-step explanation:

Given that,

The side of a square field = 70 m

The dimensions of a rectangular field with length 90m and breadth 60m.

The distance covered by the person on square field is given by :

P = 4×side

= 4×70

= 140 m

The distance covered by the person on a rectangular field is given by :

P = 2(l+b)

= 2(90+60)

= 2×150

= 300 m

Hence, a person will cover more distance in the rectangular field.

Answer:

605

Step-by-step explanation:

11x55=605

Answer:

------------------

Simplify in below steps:

The interest rate paid by Scott is 4.25% for the 72 months.

We can determine the simple interest of the given problem by the simple interest formula which is given as :

I=PRT

Where,

I=Interest

P=principal

R=rate in decimal

T=time in years

Converting the given 72 months into years we get time t :

1 year = 12months

72 months / 12months = 6 years

t=6

From the given data

I=8925

P=35000

R=r

T=6

Substituting the above values in the simple interest equation we get:

8925 = 35000*r*6

8925 = 210000*r

divide both sides by 210000

R = 0.0425

Therefore, the interest rate is 4.25%

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Answer:

I put a photo containing what you should write

Answer:

The number can be expressed in multiple forms

Fraction form \(x=\frac{2962}{67}\)  or decimal form  \(x=44.21\)

Step-by-step explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction  \((x-y)\)

A number plus a number is addition \(x+y\)

\(68(x-45)=x+-98\)

Lets solve for \(x\).

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

\(68x-3060=x+-98\)

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

\(68x-3060=x-98\)

Subtract \(x\) from both sides of the equation.

\(68x-3060-x=-98\)

Subtract \(x\) from \(68x\).

\(67x-3060=-98\)

Add 3060 to both sides of the equation.

\(67x=2962\)

Divide both sides of the equation by 67.

\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

57

Step-by-step explanation:

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