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The total surface area of below figure is 77 inch²

Surface area is a measurement of the total area that the surface of an object occupies. It is typically expressed in square units, such as square meters or square feet. The surface area of an object can be determined by adding up the areas of all of its individual faces or surfaces.

For example, the surface area of a cube can be calculated by finding the area of each face (which is the length of one side squared) and then adding all of those areas together. The formula for the surface area of a cube is 6a², where "a" represents the length of one side.

For the given figure the surface area is the sum of two triangle and one rectangle is;

SA = SA₁ + SA₂ + SA₃

SA = \((\frac{1}{2}* 3 *4 )+ (\frac{1}{2}* 3 *4 ) + (13*5)\)

SA = 6 + 6 + 65

SA = 77 inch²

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Complete question-

Answer: 30 folders - 15 folders which she keeps = 15 folders; 15 folders / 3 friends = 5 folders per firend.

Step-by-step explanation:

Answer:

x= (30 -15)/3

Step-by-step explanation:

If we call x the number each friend gets, then the equation is:

Solving this we get:

Each friend gets 5 folders

The answer of the following are; A. 16 yellow marbles were chosen

B. 24 marbles were chosen

C. Not enough information.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are obtained data from the question. This include the following:

marble = 40

Black marble =..?

A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.

yellow marble chosen = 2/5 x 40 = 16.

Therefore, 16 yellow marbles were chosen.

B. From the question given, 3/5 of the 40 marbles were chosen.

marble chosen = 3/5 x 40 = 24.

Therefore, 24 marbles were chosen.

C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.

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Answer:

2.0833...

Step-by-step explanation:

3 is on going

Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

D, the volume of the rectangular prism is 36 cm

Step-by-step explanation:

2 x 3 x 6 = 36

The two intersection points are found as x = -6 ± √(36 - (x - 2)^2).

The graphs of y = 1/2(x - 2)^2 + 3/2 and y = 2(x - 2)(x + 1) intersect at the points where the two functions have the same y-value.

We will set the two equations equal to each other and calculate for x, we find the intersection points:

1/2(x - 2)^2 + 3/2 = 2(x - 2)(x + 1)

1/2(x - 2)^2 + 3/2 = 2x^2 - 6x + 4

we subtract 3/2 from both sides and move all the terms to one side:

1/2(x - 2)^2 = 2x^2 - 6x + 1/2

1/2(x - 2)^2 - 2x^2 + 6x - 1/2 = 0

We will use the quadratic formula to solve for the polynomial eqaution:

x = (-6 ± √(6^2 - 4 * 1/2 * (1/2(x - 2)^2 - 1/2))) / (2 * 1/2)

x = (-6 ± √(36 - (x - 2)^2)) / 1

x = (-6 ± √(36 - x^2 + 4x - 4)) / 1

x = (-6 ± √(36 - x^2 + 4x - 4)) / 1

x = (-6 ± √(36 - (x^2 - 4x + 4))) / 1

x = (-6 ± √(36 - (x - 2)^2)) / 1

Therefore, the intersection points are: x = (-6 ± √(36 - (x - 2)^2)) / 1

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The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

6

Step-by-step explanation

divide 48/6=6

divide 90/15=6

divide 102/17=6

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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C. A single clockwise rotations of 180 degrees.

First, let us find the coordinates of the vertices of figure P and that of the corresponding vertices of Q

Figure P Figure Q

(-4, 3) (4, -3)

(-4, 1) (4, -1)

(-1, 1) (1, -1)

By careful observation of the coordinates of P and Q, we would see that:

(x, y) in P is transformed to (-x, -y) in Q

Note that:

When an object of coordinates (x, y) is transformed to an image of coordinates (-x, -y), the type of transformation done is a clockwise rotation of 180 degrees

Answer:

y-7= 6(x-0)

Step-by-step explanation:

y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!

The expression −(4b)(4b)(4b) using positive exponents is -(4b)³

From the question, we have the following parameters that can be used in our computation:

−(4b)(4b)(4b)

Express properly

So, we have

−(4b) * (4b) * (4b)

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of positive exponents, we have

−(4b) * (4b) * (4b) = -(4b)³

So, the solution is -(4b)³

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By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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Given in the question:

a.) Base area of music box = 9 1/2 in²

b.) Height of music box = 3 1/5 in.

Let's recall the formula for getting the volume of a rectangular prism:

Before we plug in the values, let's first transform the mixed numbers into improper fractions.

Let's now plug in the values to get the volume of the music box.

Therefore, the volume of the music box is 30 2/5 in.^3.

Answer:

This (1.) unlikely

Answer:

40h = e

Step-by-step explanation:

40 x 11 = 440

Answer:

________________

How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?

________________

ж

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

Answer:

4x+7=3x+7

Step-by-step explanation:

-3(2x-5)=15-6x is infinite solution

top left is x=-3

top right is x=5 5x

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The probability of selecting a Democrat and then an Independent is  (6/16) * (6/15) = 3/40. The probability of selecting two Republicans with replacement is (4/16) * (4/16) = 1/16.

What is probability ?

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. It is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation. Probability is used in many fields, such as mathematics, statistics, science, engineering, economics, and social sciences, to model and analyze uncertain situations and make predictions about the future based on available data.

(a) selecting a Democrat and then an Independent without replacement.

The probability of selecting a Democrat on the first draw is 6/16, and the probability of selecting an Independent on the second draw, without replacement, is 6/15. So the probability of selecting a Democrat and then an Independent is:

(6/16) * (6/15) = 3/40

(b) selecting two Republicans with replacement.

The probability of selecting a Republican on the first draw is 4/16, and with replacement, the probability of selecting another Republican on the second draw is also 4/16. So the probability of selecting two Republicans with replacement is:

(4/16) * (4/16) = 1/16

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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Answer:

que esta since riheeeee