How much is 240 in into ft

Answer:

C

Step-by-step explanation:

All sides of a square are equal.

Answer:

x = -9

Step-by-step explanation:

Vertical line

The cοst οf painting the triangle bοrder at the given rate is Rs. \(108\sqrt{(2)\).

A triangle is a geοmetric shape that cοnsists οf three line segments, οr sides, that are cοnnected tο fοrm three angles.

Tο find the cοst οf painting the triangle bοrder, we first need tο find its area. Let's call the third side οf the triangle "x".

We knοw that the perimeter οf the triangle is 24cm, sο we can write an equatiοn:

6cm + 8cm + x = 24cm

Simplifying this, we get:

x = 10cm

Nοw we can use Herοn's fοrmula tο find the area οf the triangle:

s = (6cm + 8cm + 10cm)/2 = 12cm

Area \(= \sqrt{(s(s-6cm)(s-8cm)(s-10cm))\)

\(= \sqrt{(12cm6cm4cm*2cm)\)

\(= 2\sqrt{(72cm^2)\)

\(= 12\sqrt{(2) cm^2\)

Finally, we can calculate the cοst οf painting the bοrder at a rate οf Rs. 9 per square cm:

Cοst = (Area) x (Rate)

\(= (12\sqrt{(2)} cm^2) x (Rs. 9/cm^2)\)

\(= Rs. 108\sqrt{(2)\)

Therefοre, the cοst οf painting the triangle bοrder at the given rate is= \(Rs. 108\sqrt{(2)\)

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Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer:

$14.04

Step-by-step explanation:

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...

7 pages·477 KB

The straight line distance between the submarine and the airplane is 4000 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the straight line distance between the submarine and the airplane. Hence:

sin(30) = 2000/d

d = 4000 feet

The straight line distance between the submarine and the airplane is 4000 feet.

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Answer:

C(d) = 0.64c +37.95

Step-by-step explanation:

C(38) = 0.64(38) + 37.95 = $62.27

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:

possible

Step-by-step explanation:

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

$63.75

Step-by-step explanation:

Stereo costs : $75

Decreased Price :- ( $75 * 15% = 11.25   ,    75 - 11.25 = 63.75 )

So the price after the discount is $63.75.

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expressions are given below.

(5 + 9 - 2³) and (4² - 6)

Simplify the expression, then we have

(5 + 9 - 2³) = 5 + 9 - 8 = 6

(4² - 6) = 16 - 6 = 10

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

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Answer:

x=2.5

Step-by-step explanation:

Cost of 9candies=40-4=36$

Cost of one candy:-

\(\\ \sf\longmapsto \dfrac{36}{9}\)

\(\\ \sf\longmapsto 4\$\)

Answer:

Let c = the cost of each candy bar

4 + 9c = 40

subtract 4 from 40

9c = 36

divide 9 from 36

c = $4.00

a.) The sample space for this scenario would be: Option A.

GG, GB, GR, BG, BB, BR, RG, RB, RR

b The probability distribution for X is:

X | 0 | 1 | 2 |

P(X) | 1/3 | 2/3 | 0 |

GG: There are no red crayons selected. X = 0.

GB, BG, RG: Only one red crayon is selected. X = 1.

GR, RB: One red crayon and one non-red crayon are selected. X = 1.

BB: There are no red crayons selected. X = 0.

BR, RB: One red crayon and one non-red crayon are selected. X = 1.

RR: Two red crayons are selected. X = 2.

The probability distribution for X would be as follows:

X = 0: P(X = 0) = 2/6 = 1/3

X = 1: P(X = 1) = 4/6 = 2/3

X = 2: P(X = 2) = 0/6 = 0

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y=0.625x+1.75 is the equation for your problem.

Answer:

slope = 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 5/0- 2 = 9/2

Answer:

0.25

Step-by-step explanation:

-5x - 10x = -15x

-15x = -60

x = 0.25

Answer: x=-4

Step-by-step explanation:

Using the volume of the sphere, it is found that 445.1 in³ of the ball is occupied by water.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi}{3}r^3\)

In this problem, the radius is of r = 5 in, hence the volume in cubic inches is given by:

\(V = \frac{4\pi}{3}(5)^3 = 523.6\)

85% of this is filled by water, hence the space occupied by water, in cubic inches, is of:

0.85 x 523.6 = 445.1.

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Points A, B and the lighthouse are related by angles of elevation.

From the complete question (see attachment), we have:

\(\mathbf{\angle A = 164 - 90}\)

\(\mathbf{\angle A = 74}\)

\(\mathbf{\angle B = 270 - 218}\)

\(\mathbf{\angle B = 52}\)

\(\mathbf{\angle L = 180 - 74 - 52}\)

\(\mathbf{\angle L = 54}\)

(a) The distance between the lighthouse and A

This is calculated using the following sine ratio

\(\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}\)

So, we have:

\(\mathbf{\frac{AL}{sin B} = \frac{100}{sin L}}\)

This gives

\(\mathbf{\frac{AL}{sin 52} = \frac{100}{sin 54}}\)

Make AL the subject

\(\mathbf{AL = \frac{100}{sin 54} \times sin 52}\)

\(\mathbf{AL = 97.4}\)

The distance of the lighthouse from A is 97.4 m

(b) The height of the lighthouse

Considering triangle AHL, we have:

\(\mathbf{\angle H = 90 + 27 = 117}\)

\(\mathbf{\angle A = 74 - 27 = 47}\)

\(\mathbf{AL = 97.4}\)

The height is then calculated using the following sine ratio

\(\mathbf{\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}}\)

So, we have:

\(\mathbf{\frac{AL}{sin H} = \frac{HL}{sin A}}\)

Make HL the subject

\(\mathbf{HL = \frac{AL \times sin A}{sin H}}\)

This gives

\(\mathbf{HL = \frac{97.4 \times sin 47}{sin 117}}\)

\(\mathbf{HL = 79.9}}\)

Hence, the height of the lighthouse is 79.9 m

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Answer:

x=−2±7√2

that's the answer if ur combining exponents

Answer:

x= 1/4

Step-by-step explanation:

First add -2x from both sides leaving you with 3x-3/4=0

Then add 3/4 to both sides leaving you with 3x=3/4

Then divide both sides by 3 giving you x=1/4

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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