Find the exact length of the third side.
5
6

Answer:

\(\angle FCB\)

Step-by-step explanation:

Supplementary angles are angles that sum to \(180^{\circ}\). In this case, \(\angle FCB\) is supplementary to \(\angle DCF\) since they add up to the angle of a straight line which is \(180^{\circ}\).

Hope this helps :)

This question is incomplete

Complete Question

Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Answer:

7 gallons is the correct answer

Joe needs to transfer 28 quarts of oil into 7 gallons

Step-by-step explanation:

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Correcting Joe's error, we have:

4 quarts = 1 gallon

28 quarts = x

Cross Multiply

4 quarts × x = 28 quarts × 1 gallon

x = 28 quarts × 1 gallon/ 4 quarts

x = 7 gallons

= 28 quarts/x gallons × 1 gallon/4 quarts

= (28 × x)/ ( 1 /4) = 7 gallons

Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons

Answer:

6 × 4 = 25

6 + 4 = 10

hope this helps

Answer:

Step-by-step explanation:

x * y=-21

x+y =-10

we use elimination method to solve

x * y = -21

x + y = -10

x = -11

then replace the y s with -11

x * y = -21

x * -11 =-21

x *-11 + -11 = -21+-11

x = -32

x + y = -10

x +-11 = -10

x + -11--11 = -10--11

x + 0 = -10+11

x = 1

x =1

y = -11

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

715 miles

Step-by-step explanation:

We Know

Lashonda drove 495 miles in 9 hours.

495 / 9 = 55 miles per hour

At the same rate, how many miles would she drive in 13 hours?

We Take

55 x 13 = 715 miles

So, she drives 715 miles in 13 hours.

\(\begin{array}{ccll} miles&hours\\ \cline{1-2} 495 & 9\\ m& 13 \end{array} \implies \cfrac{495}{m}~~=~~\cfrac{9}{13} \\\\\\ (495)(13)=9m\implies \cfrac{(495)(13)}{9}=m\implies 715=m\)

SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.

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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .

The Two Triangles can be called as  Congruent Triangles if their sides have same length and the angles also have the same measure.

One of the 4 rules in proving the triangles congruent is SSS .

The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,

then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .

Therefore , The SSS Congruence rule means Side-Side-Side Congruence .

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Answer:

4.

Step-by-step explanation:

18x^2- 32

= 2(9x^2 - 16)

= 2(3x + 4)(3x - 4)

Answer:

this is hard

Step-by-step explanation:

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

The probability that the vehicle you choose has any color other than the six listed is 0.295.

In the given question, the probabilities of the most popular colors for vehicles made in North America in 2000 is given as:

Color:          Silver   White   Black   Dark green   Dark blue   Medium red

Probability:  0.176   0.172   0.113         0.089         0.088          0.067

We have to find the probability that the vehicle you choose has any color other than the six listed.

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (the sum of the vehicle that are listed)

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (0.176 + 0.172 + 0.113 + 0.089 + 0.088 + 0.067)

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - 0.705

P(the probability that the vehicle you choose has any color other than the six listed) = 0.295

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Answer:

y = -1/3x + 5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.

Given the linear equation, y = 3x - 2, and the point (0, 5):

The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.

Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):

y = mx + b

5 = -1/3(0) + b

5 = 0 + b

5 = b

The y-intercept (b) of the other line is 5.

Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:

y = -1/3x + 5

Please mark my answers as the Brainliest if you find my explanations helpful :)

Answer:

18

Step-by-step explanation:

3(4) + 3(2)

12 + 6 = 18

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

30,000,000 or Thirty million -------> Ten millions place

Step-by-step explanation:

Hope this helps!

Answer:

9,000 m2

Step-by-step explanation:

If the longer rope has three times the length of the shorter rope, the perimeter and the sides of the triangle formed by the longer rope are three times the perimeter and sides of the triangle formed by the smaller rope.

The area of an equilateral triangle is:

\(Area = \frac{side^{2} * \sqrt{3}}{4}\)

So, if the side is three times bigger, the area will be 9 times bigger (3^2).

The area of the small triangle is 1000 m2, so the area of the bigger triangle is 9 * 1,000 = 9,000 m2

To evaluate the given triple integral ∭E p(x² + y² + z²) dV, where E is the solid bounded by the cone z = (1/√3)√(x² + y²) and the sphere x² + y² + z² = 4, we can use spherical coordinates to simplify the integral.

In spherical coordinates, the volume element is given by dV = ρ² sin φ dρ dθ dφ, where ρ is the radial distance, φ is the polar angle, and θ is the azimuthal angle.

We need to determine the bounds for ρ, θ, and φ based on the given solid E. The cone z = (1/√3)√(x² + y²) can be expressed in spherical coordinates as ρ cos φ = (1/√3)ρ sin φ, which simplifies to tan φ = 1/√3. This implies that φ lies between 0 and π/6.

The sphere x² + y² + z² = 4 can be expressed in spherical coordinates as ρ² = 4, which gives ρ = 2. Thus, the bounds for ρ are 0 to 2.

The azimuthal angle θ can vary over the full 2π range.

Now, let's express the integrand p(x² + y² + z²) in terms of spherical coordinates:

p(x² + y² + z²) = p(ρ²) = p(ρ)

Putting everything together, the triple integral becomes:

∭E p(x² + y² + z²) dV = ∫₀² ∫₀²π ∫₀^(π/6) p(ρ) ρ² sin φ dφ dθ dρ

Performing the integration with respect to φ, θ, and ρ, we obtain:

∭E p(x² + y² + z²) dV = ∫₀² ∫₀²π ∫₀^(π/6) p(ρ) ρ² sin φ dφ dθ dρ

                     = p ∫₀² ∫₀²π [-cos φ]₀^(π/6) dθ dρ

                     = p ∫₀² ∫₀²π (1 - cos(π/6)) dθ dρ

                     = p ∫₀² ∫₀²π (1 - √3/2) dθ dρ

                     = p ∫₀² (1 - √3/2) 2π dρ

                     = p (1 - √3/2) 2π ∫₀² dρ

                     = p (1 - √3/2) 2π [ρ]₀²

                     = p (1 - √3/2) 2π (2 - 0)

                     = 4πp (1 - √3/2)

Therefore, the value of the given triple integral is 4πp (1 - √3/2).

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Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

The given function `void f(int *p, int *q) { p = q; *p = 1; }` takes two integer pointers as arguments and does the following: - Assigns the value of `q` to `p`. - De references the pointer `p` and assigns the value of 1 to it.

Now, let's say `i = 2` and `j = 0`. After calling `f(&i, &j)`, the values of `i` and `j` will be as follows: Initially, `p` will point to the memory address of `i`, and `q` will point to the memory address of `j`. Then, `p` will be assigned the value of `q`. This means that `p` will now point to the memory address of `j`, and `q` will still point to the memory address of `j`.Therefore, when the statement `*p = 1;` is executed, the value of `j` (because `p` now points to `j`) will be updated to 1. So, after calling `f(&i, &j)`, the value of `i` will remain 2, and the value of `j` will become 1. Hence, the final values of `i` and `j` will be i = 2 and j = 1.

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The approximate value of b in the expression 2b^3 + 5 = 2 is -1.145 or ∛-1.5

The expression is given as

2b^3 + 5 = 2

Subtract 5 from both sides of the expression

So, we have

2b^3 = -3

Divide both sides of the expression y 2

So, we have the following expression

b^3 = -1.5

Take the cube root of both sides of the expression

So, we have

b = ∛-1.5

Evaluate the cube root expression

So, we have

b = -1.145

Hence, the approximate value of b in the expression 2b^3 + 5 = 2 is -1.145 or ∛-1.5

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Complete question

Determine the value of b in the equation 2b^3 + 5 = 2

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The media challenge faced in the scenario is increasing audience fragmentation.

The cost price is abbreviated as C.P.  The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.

The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.

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Answer:  B is true

Step-by-step explanation:

plss brainlest vote me

Answer:

Answer is false

Step-by-step explanation:

The wonderful waffle cone holds more ice cream than super sundae cone.

In this question,

The ice cream cone is the shape of hemisphere at the top and cone shape at the bottom.

Volume of ice cream cone = volume of hemisphere + volume of cone

Volume of ice cream cone = \(\frac{2}{3}\pi r^{3} +\frac{1}{3} \pi r^{2} h\)

Volume of super sundae cone:

Radius of hemisphere = height of hemisphere = 0.5 in

Depth of the ice cream cone = 4 in

Volume of super sundae cone = \(\frac{2}{3}\pi (0.5)^{3} +\frac{1}{3} \pi (0.5)^{2} (4)\)

⇒ \(\frac{2}{3}(3.14)(0.125) +\frac{1}{3} (3.14)(0.25)(4)\)

⇒ 0.2616+1.0466

⇒ 1.3082 ≈ 1.31 cubic in.

Volume of wonderful waffle cone:

Radius of hemisphere = height of hemisphere = 0.9 in

Depth of the ice cream cone = 3 in

Volume of wonderful waffle cone = \(\frac{2}{3}\pi (0.9)^{3} +\frac{1}{3} \pi (0.9)^{2} (3)\)

⇒ \(\frac{2}{3}(3.14)(0.729) +\frac{1}{3} (3.14)(0.81)(3)\)

⇒ 1.526+2.5434

⇒ 4.0694 ≈ 4.07 cubic in.

Thus volume of wonderful waffle cone > volume of super sundae cone.

Hence we can conclude that the wonderful waffle cone holds more ice cream than super sundae cone.

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Answer:

30 miles per gallon

Step-by-step explanation:

I jus Done this one

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!