Work out the urface area of thi olid quarter-cylinder. Give your anwer in term of π

The most precise classification of the quadrilateral with opposite sides having the same slopes and consecutive sides having slopes that are reciprocals is a Rectangle.

1. Opposite sides with the same slopes imply that these sides are parallel.
2. Consecutive sides with slopes that are reciprocals mean that they are perpendicular.
3. Parallel opposite sides make the quadrilateral a parallelogram.
4. Perpendicular consecutive sides make it a rectangle, as all angles are 90 degrees.

So, the quadrilateral is a Rectangle.

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Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer: 0.28571428571

Step-by-step explanation: 8 dived by 28

The six trigonometric identities are:

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles. In trigonometry, there are six basic functions, sine, cosine, tangent, cosecant, secant, and cotangent, each of which is represented by a specific letter. These functions are related to each other through a set of identities known as the trigonometric identities.

The six trigonometric identities listed above, are the most commonly used identities, and provide the relationships between the six trigonometric functions and each other. They are useful for solving trigonometric equations, simplifying trigonometric expressions, and solving problems in geometry, physics, engineering and other sciences.

The Pythagorean identity states that the sum of the squares of the sine and cosine of an angle is equal to 1, which is a fundamental relationship between the two functions. The reciprocal identities state that the reciprocal of the sine and cosine of an angle is equal to the cosecant and secant of that angle respectively.

The quotient identities state that the tangent of an angle is equal to the sine of that angle divided by the cosine of that angle, and the cotangent of an angle is equal to the cosine of that angle divided by the sine of that angle.

It's important to note that these identities are valid for all values of the angle, and are true in any angle measurement system (degrees or radians).

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To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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Answer: C - Mass of Reactants = Mass of Products

Step-by-step explanation:

Truly sorry if the answer is wrong.

Answer:

x=1 I'm not sure if I'm correct

Step-by-step explanation:

4x2x=8x

4x3=12

4x3x=12x

4x2=8

8x+12=12x+8

8x-12x= 8-12

-4x=-4 divide -4x in both side so the answer should be x=1

The value of θ or the measurement m∠B of  is 69°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The hypotenuse of △ABC is AB = 14.

The base of △ABC is AC = 5.

The cosine is a trigonometry ratio and cosine of an angle is ratio of base to hypotenuse.

cos θ = Base/ hypotenuse

Putting Base =5 and hypotenuse = 14

cos θ = 5/14

Taking inverse of cosine on both sides:

θ = cos⁻¹(5/14)

θ = 69.0

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1) equation: f(x) = 6e^(ln(⅓) • x) or 6(10)^(log(1/3) • x)

table:

x | y

-1 20

0 6

1 2

2) is cut off, I can't see the rest of the graph.

Based on the proportionate ratio, the height of flagpole c is 7.5ft.

From the case, we know that both flagpoles positions created a similar triangle, where:

a = 16.5 ft

x = 12 ft

y = 10 ft

c ?

To find the height of flagpole c, we can use the proportionate ratio as:

a = (x + y)

c        y

16.5 = (12 + 10)

 c            10

16.5 / c = 22 / 10

22c = 16.5 (10)

22c = 165

c = 7.5

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Answer:

46=18+x

Step-by-step explanation:

x+18=46

-18       -18

   x=28

Answer:

1. 45 degrees

2. it’s an acute triangle

Step-by-step explanation:

GOOD LUCK HOMIE

Answer:

Solution given:

70°+65°+x°=180°[sum of interior angle of a triangle is 180°]

x°=180°-135°

x=45°

Is a required answer.

Answer: 22*0.105=  2.31  

The cost of 150g of nuts is $ 3.30 dollars

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The cost of nuts per kilogram is = $ 22

Let the cost of nuts for 150g be = A

Now ,

1 kilogram = 1000 gram

The cost of 1 gram of nuts is calculated by =
The cost of nuts per kilogram / 1000

The cost of 1 gram of nuts = 22 / 1000

                                           = 0.022

And , the cost of 150 gram of nuts A = The cost of 1 gram of nuts x 150

                                                            = 0.022 x 150

                                                            = $ 3.30

Hence , the cost of 150 gram of nuts is $ 3.30

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Answer:

-1/2

Step-by-step explanation:

Answer:

\(\boxed{\sf Slope=-\frac{1}{2}}\)

Step-by-step explanation:

To find a slope, we use two points of a line, we can find slope of a line by finding the rise over run.

____________________

\(\boxed{\sf \sf{Slope}=\cfrac{y_2-y_1}{x_2-x_1}}\)

\(\sf \left(x_1,\:y_1\right):\left(4,\:4\right)\)

\(\sf \left(x_2,\:y_2\right):\left(2,\:5\right)\)

\(\sf slope\: (m)=\cfrac{5-4}{2-4}\)

\(\sf m=-\cfrac{1}{2}\)

__________________________

Answer:

x= 1/6

Step-by-step explanation:

Multiply all the numbers by x and cancel:

3/5 + 2x =5.6x

2x + 3/5 = 5.6x (Simplify both sides of the equation)

2x + 3/5 - 5.6x = 5.6x - 5.6x (Subtract 5.6x from both sides)

-3.6x + 3/5 = 0

-3.6x + 3/5 - 3/5 = 0 - 3/5 (Subtract 3/5 from both sides)

-3.6 = -3/5

-3.6x/-3.6 = -3/5 / -3.6 (Divide both sides by -3.6)

x = 1/6

n/5 + 0.6 = 2

n/5= 2 - 0.6

n/5= 1.4

n= 1.4 x 5

n= 7

In the expression πr² + πrℓ, the part of the expression that is π is a constant.

A constant is a value that does not change in an expression, and in this case π represents a fixed value of approximately 3.14159. It is not a coefficient, which is a numerical factor that multiplies a variable, nor a variable or term, which represent varying quantities in an expression.

Answer:

1000 = \(10^3\)

1000 = one thousand

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

Explanation:

The exponent form involves 10 as the base. The exponent 3 means we will have 3 zeros to get to 1000

Another way you can see it is to think of it as \(1.0 \times 10^3\), then we move the decimal point 3 spots to the right to go from 1.0 to 1000.0 or 1000

Because multiplying by 1 doesn't change the number, we could say \(1.0 \times 10^3 = 1 \times 10^3 = 10^3\), all lead to the same outcome.

The monthly payment amount is (8000 - 2600) / 12 = $500.

1. The cot of a car is given as 8000. The depoit is given as 2600.

2. The formula for the cot of buying a car is cot = 12 x monthly payment depoit.

3. To find the monthly payment, we can rearrange the formula to monthly payment = (cot - depoit) / 12.

4. Substituting in the values, we get monthly payment amount = (8000 - 2600) / 12 = $500.

The cost of a car can be calculated using a simple formula. The formula is cot = 12 x monthly payment deposit. In this case, the cost of the car is given as 8000 and the deposit is given as 2600. To find the monthly payment, we can rearrange the formula to solve for the monthly payment amount. This gives us the equation monthly payment = (cot-deposit)/12. When we plug in the given values, we get monthly payment = (8000-2600)/12 = $500. This means that the monthly payment amount for this car is $500.

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Answer: I think 90°

Step-by-step explanation:

Check the picture below.

since we know that AB = AD, twin sides will yield twin angles, that means that ∡ADB is a twin angle to ∡ABD.

Now, the two angles at vertex D are linear angles, so their sum is 180°, and since we know that BA = BC, twin sides make twin angles, meaning that ∡A and ∡C are twins, and if we know that a triangle has a total 180° for is interior angles, that means that 36° + 36° + 72° + "the gap above" = 180°, so that gap above must be 36°.

Anyhow, that leaves triangle BCD with a couple of twin angles, yielded by twin sides.

Step-by-step explanation:

1. Hold up all ten fingers on your hand

2. Count N fingers from the left

3. Lower that finger

4. Read off the answer from your finger. The number of fingers before that lowered finger give you the number of tens in the answer.

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

Cost of p photo frames=$2.49

Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Answer:

392.7 cubic centimeters. Hope that helps :)

Step-by-step explanation:

The value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)] where E is bounded by the parabolic cylinder z=16−y2z=16−y2 and the planes z=0,x=4, and x=−4.

To evaluate the triple integral ∭E \(x^8 e^y\) dV, where E is bounded by the parabolic cylinder z=16−y² and the planes z = 0,x = 4, and x = −4, we can use the cylindrical coordinate system. Here are the steps to solve the integral:

Write down the limits of integration for each variable:

For ρ, the radial distance from the z-axis, the limits are 0 to 4.

For φ, the angle in the xy-plane, the limits are 0 to 2π.

For z, the height, the limits are 0 to 16 - y² for the parabolic cylinder, and 0 to the plane z = 0.

Write the integral using cylindrical coordinates:

∭E \(x^8 e^y\) dV = ∫\(0^4\) ∫0²π ∫\(0^{(16-y^2)\) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz

Evaluate the integral:

∫0²π ∫\(0^4\)(16-y²) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) dφ ∫\(0^{(16-y^2)}\)(\(\rho^{10\) \(e^y\)) dρ dz

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [\((16-y^2)^{11}\) / 11 \(e^y\)] dy dφ

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [(\(16^{11}\) / 11) \(e^y\) - (11/11) y² (\(16^{10}\)) \(e^y\) + (55/11) \(y^4\) (\(16^9\)) \(e^y\) - ...] dφ

= ∫\(0^4\) (\(16^{11}\) / 11) \(e^y\) [(\(cos^8\) φ) (2π)] dy

= (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)]

Therefore, the value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)].

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Step-by-step explanation:

Since line d has a constant y-value of -2, any point equidistant from F and d must lie on a horizontal line passing through the point (0, 1) (which is the midpoint of the line segment connecting F to the y-axis).

Therefore, we can eliminate the points (-3, 5) and (-5, 3) since they do not lie on a horizontal line passing through (0, 1).

To determine which of the remaining two points, (0, 1) and (3, 0), is equidistant from F, we can calculate their distances from F:

Distance from (0, 1) to F: sqrt[(0-0)^2 + (1-3)^2] = sqrt[4] = 2

Distance from (3, 0) to F: sqrt[(3-0)^2 + (0-3)^2] = sqrt[18] = 3sqrt[2]

Since neither distance is equal, we can conclude that there is no point on the graph that is equidistant from F and d. Therefore, the answer is none of the given options.

Step-by-step explanation:

please mark me as brainlest

Answer:

$45 is the correct answer

Answer:

A

Step-by-step explanation:

Answer:

The actual answer is C

Step-by-step explanation: