a tank with a base of 4 feet by 5 feet and a height of 4 feet is full of water. the water weighs 62.4 pounds per cubic foot. how much work is done in pumping water out over the top edge in order to empty all of the tank. round your answer to one decimal place and show your drawing

The reflexive property for the given triangles,

⇒∠ACE ≅ ∠ BCD

Hence option A is correct.

Given that,

AE is perpendicular to EC

BD is perpendicular to DC

The reflexive property can take several forms, including the reflexive property of equality, the reflexive property of congruence, and the reflexive property of relations.

When every element of a set is connected to itself, the reflexive property operates on it.

The set of numbers is given the reflexive property of equality, which asserts that any number is equal to itself.

The reflexive property of congruence, on the other hand, says that every geometric form is congruent to itself.

In geometry, the reflexive property of congruence asserts that every angle, line, and figure/shape is congruent to itself.

This characteristic is commonly utilized in proofs such as establishing two triangles are congruent and parallel lines are parallel.

We may utilize the reflexive characteristic of congruence to establish two triangles are congruent if they share a common side or an angle.

Hence,

∠ACE ≅ ∠ BCD

represents the property of reflexivity.

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Answer:

AB= 12                      AB=18

Step-by-step explanation:

sin(30)=AB/AC

=> AB=Sin(30)*AC

sin(30)=0.5

=>AB=0.5*24=15

sin(30)=AB/AC

=> AB=Sin(30)*AC

sin(30)=0.5

=>AB=0.5*36=18

Answer:

part a: AB = 12cm

part b: AB = 18cm

Step-by-step explanation:

sin(angle)=OPP/HYP

sine of an angle is a ratio of two sides of a right triangle. For sine, the ratio is the opposite side over the hypotenuse. In part a the marked angle is 30° and AB is the opposite side. The hypotenuse is given, 24cm.

So the sin 30°

= opp/hyp

= AB / 24

also given is the fact that sin30°=.5

Substitute that into our equation also.

sin30° = AB/24

.5 = AB/24

multiply both sides by 24.

.5×24 = AB

12 = AB

AB is 12 cm.

Part b is an identical calculation except the hypotenuse is 36cm.

sin30° = AB/36

.5 = AB/36

.5×36 = AB

18 = AB

AB is 18cm.

They may be trying to lead you to discover some shortcut patterns in a 30°-60°-90° triangle. That is that the short leg is HALF the hypotenuse OR the hypotenuse is double the short leg.

Answer:

y=-1

Step-by-step explanation:

The zeros of the given polynomial function are x=-4 and x=10.

The given polynomial function is f(x)=(x-3)²-49.

Now, f(x)=(x-3)²-7²

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

Here, (x-3)²-7²=0

(x-3+7)(x-3-7)=0 (∵a²-b²=(a+b)(a-b))

(x+4)(x-10)=0

x=-4 and x=10

Therefore, the zeros of the given polynomial function are x=-4 and x=10.

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Answer:

A&C = 68° B = 112°

Step-by-step explanation:

because 180° - 122° = 68°

Answer:

where is the question though?

Step-by-step explanation:

Answer:

what's your question ❓❓❓❓

..... . ..,m..... ...

..

.

Answer:the answer is 60 m x 10 m

Step-by-step explanation:

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer:

N = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

N + 9 = 27

Step 2: Solve for N

Answer:

150 ft.

Step-by-step explanation:

It's very simple math tbh.

Using the property of fractions, we know that Frank ran 2.79 miles.

So, in this case, we have the mixed fraction:

Convert in proper fractions as follows:

We know, 1 km = 0.62 miles.

So, now converting 4.5km into miles as follows:

Therefore, using the property of fractions, we know that Frank ran 2.79 miles.

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Answer:

You were close; you don’t have to add 3x to the right side though.

We’re given 2y= -3x + 6

Step one: divide both sides by 2

y= (-3/2)x + 3

Answer:

It is Answer B

Step-by-step explanation:

Hope this helped

Answer:

question 1: answer is 4

question 2: answer is 1

Step-by-step explanation:

Answer:

$1,006.40

Step-by-step explanation:

Basic week = ($14.80/hour) * (40 hours) = $592.00

M-F overtime = ($14.80/hour ) * ( 1.25 ) * (12 hours) = $222.00

Sat overtime = ($14.80/hour ) * ( 1.5 ) * (2 hours) = $44.40

Sun overtime = ($14.80/hour) * ( 2 ) * (5 hours) = $148.00

Total wage = 592.00 + 222.00 + 44.40 + 148

Total wage = $1,006.40

Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

Answer:

12000000000000

Step-by-step explanation:

Answer:

it would be 150 more, so 1650

Step-by-step explanation:

divide 1500 by 10 to get 10%

Using difference quotient, the simplification of f(2+h)−f(2)/h is 2h + 8

To simplify using the difference quotient, we need to evaluate the expression:

f(2+h) - f(2)/h

where f(x) = 2x^2 - 5.

First, let's find f(2+h):

f(2+h) = 2(2+h)^2 - 5

      = 2(4 + 4h + h^2) - 5

      = 8 + 8h + 2h^2 - 5

      = 2h^2 + 8h + 3

Now, let's find f(2):

f(2) = 2(2)^2 - 5

    = 2(4) - 5

    = 8 - 5

    = 3

We can now substitute these values into the difference quotient expression:

f(2+h) - f(2)

--------------

     h

= (2h^2 + 8h + 3 - 3) / h  

(Substitute f(2+h) and f(2))

= (2h^2 + 8h) / h        

(Simplify)

= 2h + 8                

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Answer:

x=90? is there any other info?

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle

Answer:

y = 5/8x + 17/4

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - 8 / -2 - 6

5/8

y = 5/8x + b

3 = 5/8(-2) + b

3 = -5/4 + b

17/4 = b

Answer:

x = 112°, y = 68°

Step-by-step explanation:

68° and y are corresponding angles and are congruent, then

y = 68°

x and y are adjacent angles and are corresponding ( sum to 180° ), then

x + y = 180°

x + 68° = 180° ( subtract 68° from both sides )

x = 112°

The equation of the plane in the scalar form is: -5x + 2y + 4z = 9

To find the equation of the plane in scalar form, we need to use the formula:

n · (r - P) = 0

where n is the normal vector, P is the given point on the plane, r is any point on the plane, and · denotes the dot product.

Substituting the given values, we get:

(-5,2,4) · (x-5, y-9, z-4) = 0

Expanding the dot product, we get:

-5(x-5) + 2(y-9) + 4(z-4) = 0

Simplifying, we get:

-5x + 25 + 2y - 18 + 4z - 16 = 0

-5x + 2y + 4z = 9

Therefore, the equation of the plane in scalar form is:

-5x + 2y + 4z = 9.

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Answer:

It is 35 as you said !

but the nth term of it is : Y= 4X-1 .

Step-by-step explanation:

Hope this helps u <3

The value of the given expression is 0.

When evaluating the given expression, we need to integrate the function (8x+y) with respect to both x and y over the specified limits. The integral of 8x with respect to x is 4x^2, and the integral of y with respect to y is 0. Therefore, the integral of (8x+y) dx dy simplifies to 4x^2y.

Next, we substitute the limits of integration, which are from x = 0 to x = 4 and from y = 5 to y = 1. Plugging these values into the expression 4x^2y, we get:

4(4^2)(1) - 4(0^2)(5)

= 4(16)(1) - 4(0)(5)

= 64 - 0

= 64

Thus, the overall value of the given expression is 64.

Integration is a fundamental concept in calculus, involving finding the area under a curve or the accumulation of a function. In this particular case, we evaluated a double integral, integrating a two-variable function over a rectangular region. The limits of integration determine the range over which the integration occurs, and the resulting expression simplifies to a single value. Understanding integration and its applications is crucial in various fields, including physics, engineering, and economics.

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Answer:

135 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.

The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.

(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.

(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.

(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.

Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.

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