evaluate bc + 5a
when a = 3, b = 4, and c = -6

Answer: Polygons

Step-by-step explanation:

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain. However, polygons are classified by different identifying techniques. For example, you can identify a polygon by it's equal sides and opposite parallel sides.

Answer: I believe the area of this shape is 40

Step-by-step explanation:The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Answer:

40in

Step-by-step explanation:

Answer:

\({}\)                                                                                                    XY                \(\overline {XY}\)

Represent a distance \({}\)                                                                 √

Represent a segment \({}\)                                                                                     √

Represent a numerical value \({}\)                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  \({}\)                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and \(\overline {XY}\) are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

Answer:

20,000×17 gives 340,000

340,000×68 which gives 23,120,000

Answer:

315/1200 = 63/240 = 21/80 = 0.2625 = 26.25%

Step-by-step explanation:

Answer:

Cosine is:

Secant is:

or

Both refer to the same (adjacent) angle therefore cosine is used more often than secant.

Answer:

Step-by-step explanation:

In trigonometry, secant in a right triangle, is the reciprocal of the cosine of an angle symbol: sec while cosine is in a right triangle, is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.

The cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. The cosine of ∠A will be abbreviated as cos ∠A

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

Answer:

50/100 = 500/1000 or alternatively .50 = .500

Answer:

500

Step-by-step explanation:

50 hundredths written in standard form is 0.50 .

**Adding zeroes to the end of a decimal does not change the value of the number.

1 hundredth = 0.01

1 thousandth = 0.001

So, if there are 50 hundredths, how many thousandths would there be?

The difference between hundredths and thousandths are the placement of the decimal point and how many decimal places there are after it. Hundredths have 2, while thousandths have 3.

Back to the example, 1 hundredth = 10 thousandths:

0.01 = 0.010

If there are 50 hundredths, that would mean that there are 10 times more thousandths in the same number.

0.50 = 0.500

50 hundredths = 500 thousandths

Answer:

3 scoops

Step-by-step explanation:

Walters birdfeeder hold street 5th one oz of birdseed waters filling the birdseed scoops that hold 1/5 of an ounce

The expression that Walters needs to find the number of birdseed scoops is given as : 3/5 / 1/5 equals what

Hence:

3/5 / 1/5

= 3/5 ÷ 1/5

= 3/5 × 5/1

= 3 scoops

Answer:

C (13.92)

Step-by-step explanation:

Area = L X B

2.4 X 5.8

= 13.92cm

Answer:

Step-by-step explanation:

26/8=3.25

Therefore, The Laplace transforms of t^2, e^ 2t and cos(3t) are given by 2!/s^3, 1/(s-2) and s/(s^2 + 9) respectively. Substituting these in the expression for L{f(t)}, we get (2s)/(s^2 + 9) * (1/(s-2)^2).

Explanation:
The Laplace transform of f(t) is given by:
L{f(t)} = ∫[0,∞] e^(-st) f(t) dt
Substituting f(t) = t^2 e^ 2t cos(3t), we get:
L{f(t)} = ∫[0,∞] e^(-st) t^2 e^ 2t cos(3t) dt
Using the product rule for Laplace transforms, we can write:
L{f(t)} = L{t^2} * L{e^ 2t} * L{cos(3t)}

The Laplace transforms of each of these terms are given by:
L{t^2} = 2!/s^3, L{e^ 2t} = 1/(s-2), and L{cos(3t)} = s/(s^2 + 9)
Substituting these in the expression for L{f(t)}, we get:
L{f(t)} = (2!/s^3) * (1/(s-2)) * (s/(s^2 + 9))
Simplifying this expression, we get:
L{f(t)} = (2s)/(s^2 + 9) * (1/(s-2)^2)
The Laplace transform of f(t) = t^2 e^ 2t cos(3t) can be found by using the product rule for Laplace transforms. We can write f(t) as the product of t^2, e^ 2t and cos(3t), and then take the Laplace transform of each of these terms separately.

Therefore, The Laplace transforms of t^2, e^ 2t and cos(3t) are given by 2!/s^3, 1/(s-2) and s/(s^2 + 9) respectively. Substituting these in the expression for L{f(t)}, we get (2s)/(s^2 + 9) * (1/(s-2)^2).

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Answer: 1 1/2

Step-by-step explanation:

3/4+3/4=6/4=1 2/4=1 1/2

Answer:

1 1/2

Step-by-step explanation:

3/4+3/4 = 6/4 = 1 2/4 = 1 1/2

To prove that ∠DBC ≅ ∠DCB, we can utilize the given information that AB ≅ AC and DA bisects ∠BAC. By using the properties of congruent triangles and the angle bisector theorem, we can establish the congruence of the angles.

In triangle ABC, we are given that AB ≅ AC. Since the sides AB and AC are congruent, we can conclude that the angles opposite those sides are also congruent by the isosceles triangle theorem. Therefore, ∠BAC ≅ ∠BCA.

Next, we are given that DA bisects ∠BAC. By the angle bisector theorem, we know that the bisector of an angle divides the opposite side into two segments that are proportional to the adjacent sides. Therefore, AD/DB = AC/BC.

Since AB ≅ AC, we can substitute AC for AB in the equation AD/DB = AC/BC, giving us AD/DB = AB/BC. Since AD is common to both sides of the equation, we can cancel it out, resulting in DB/BC = AB/BC.

From this, we can conclude that DB ≅ AB. Now, in triangle DBC, we have DB ≅ AB and ∠DBC = ∠BAC. Therefore, by the angle-side-angle (ASA) congruence criterion, we can conclude that ∠DBC ≅ ∠DCB.

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer:

9.6

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

9.6 feet will the bottom of the ladder be from the bottom of the building.

In a right-angled triangle, the hypotenuse's square is equal to the sum of its two other sides' squares.

It is given that, the 24-foot ladder is placed against the top of a 22-foot building,

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

Thus, the distance between the building's base and the ladder's bottom is 9.6 feet.

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Evaluating this triple integral will give us the volume of the solid bounded below by the cone z and bounded above by the sphere xyz.

To find the volume of the solid bounded below by the cone z and bounded above by the sphere xyz, we can use a triple integral.

First, we need to determine the limits of integration for each variable.

For z, the lower limit is 0 (since the solid is bounded below by the cone z), and the upper limit is the equation of the sphere, which is x^2 + y^2 + z^2 = r^2 (where r is the radius of the sphere). Solving for z, we get z = sqrt(r^2 - x^2 - y^2).

For y, the limits are -sqrt(r^2 - x^2) to sqrt(r^2 - x^2), which represents the cross-section of the sphere at a given value of x.

For x, the limits are -r to r, which represents the entire sphere.

Therefore, the triple integral to find the volume of the solid is:

V = ∭dV = ∫∫∫ dzdydx

Where the limits of integration are:

-∫r^2-x^2-y^2 to ∫sqrt(r^2-x^2-y^2) for z
-∫sqrt(r^2-x^2) to ∫-sqrt(r^2-x^2) for y
-∫-r to ∫r for x

The integrand, dV, represents an infinitesimal volume element in Cartesian coordinates.

Evaluating this triple integral will give us the volume of the solid bounded below by the cone z and bounded above by the sphere xyz.

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Answer:

Reflection across x = -5

Answer:

the answer is in the photo. :)

Answer: The stem-and-leaf plot is shown below in the attached image.

=============================================================

Explanation

The given data set is:

40, 27, 17, 43, 47, 33, 26, 58, 49, 48, 35

64, 61, 54, 74, 43, 83, 61, 57, 34

Let's sort the values from smallest to largest

17, 26, 27, 33, 34, 35, 40, 43, 43, 47, 48, 49, 54, 57, 58, 61, 61, 64, 74, 83

The stems are the tens digit of each value. The stems used are: 1, 2, 3, 4, 5, 6, 7, and 8. The stems will go along the first column (along the left side) in the table.

The leaves represent the units digit of each value.

For example, the value 47 has a stem of 4 and a leaf of 7. At the top or bottom of your stem-and-leaf plot, you could have a key that says "4 | 7 means 47". The vertical line indicates the separation of stem and leaf.

For each stem row, sort the leaves from smallest to largest. You should get what you see in the table below. The horizontal spacing between each leaf is optional, and I find it's handy to easily read that portion of the table. Though your teacher or math book may remove those spaces entirely.

Also optional are horizontal grid lines to separate the stems.

Answer:

5.29

Step-by-step explanation:

1. Set up the equation 2.3x2.3 on top of eachother like so,

\(2.3\\ x2.3\)

We will be working right to left.

2. Then we must create the first line of numbers.

a. Mulitply 3x3=9

b. Multiply 3x2=6

This makes the  first line of numbers 69.

3. For the second line of number do much of the same.

a. First add a zero under 9 to offset this new line.

b. Then multiply 2x3=6

c. Then 2x2=4

4. Finally add the two number together.

\(69+460=5.29\)

5. Count up the decimal places in both factors combined, then moved the decimal sign left that many times.

This will result in our answer 5.29.

Answer:

75 meters long 55 meters wide

Step-by-step explanation:

80*50= 4000

75*55=4125

4125<4000

75+55= 130

80+50=130

Answer:

Step-by-step explanation:

(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>

a  = 60

b = 11

c = -74

d = 24

Answer:

₹4000

Step-by-step explanation:

₹800/10 books

₹80/1 book

(₹80/1 book)*(50) = ₹4000

We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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Answer:

x = -16

Step-by-step explanation:

3x+11 = 2x - 5

x +11 = -5 (Get x's on one side by substracting 2x from both sides)

x= -16 ( substract 11 from both sides to get the answer

Answer:

\(x=-16\)

Step-by-step explanation:

\(3x+11=2x-5\)

Subtract 11 from both sides:

\(\hookrightarrow\) \(3x+11-11=2x-5-11\)

\(\hookrightarrow 3x=2x-16\)

Subtract 2x from both sides:

\(\hookrightarrow 3x-2x=2x-16-2x\)

\(\hookrightarrow x=-16\)

_______________________

In statistical experiments, each time the experiment is repeated different outcome might occur.

Statistics is a scientific method of organizing data by numbers and interpreting them. From a research point of view, there are several roles of statistics, namely:

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We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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In order to draw the line and the angle APB which is 30°, here are the steps you should take.

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