Please help me I’m bad at geometry
Are the triangles congruent? If yes, explain your reasoning and write a congruency statement

Answer:

2v6y719x3

Step-by-step explanation:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP 1

Equation at the end of step 1

 (((2v2 • y711) • v4) • y8) • x3

STEP 2

Final result :

 2v6y719x3

The correct particular solution to be taken in the method of undetermined coefficients for the nonhomogeneous differential equation y" + 4y = 3x cos(2x) is (d) yp(x) = x² [A cos(2x) + B sin(2x)] + x [C cos(2x) + D sin(2x)] + E cos(2x) + F sin(2x).

In the method of undetermined coefficients, when the nonhomogeneous term contains a term that is a solution to the associated homogeneous equation (in this case, cos(2x) and sin(2x) are solutions to the homogeneous equation y" + 4y = 0), we multiply the guess for the particular solution by x. Additionally, since the nonhomogeneous term includes x², we include x² terms in the guess.

Therefore, the correct form includes terms with x², x, and constants multiplied by cos(2x) and sin(2x). The constants A, B, C, D, E, and F are determined by substituting the guess into the original differential equation and comparing coefficients.

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Answer:

$41739.13

Step-by-step explanation:

We will start by creating an equation for the problem.

Set Rodney's salary before the increase as \(x\).

Changing the 15% to a decimal and making sure it's an increase we get 1.15

If we work backwards we get the equation:

\((1.15)x=48000\)
\(\text{Solving for } x\text{ we divide }48000 \text{ by } 1.15 \text{ and we get the answer of } 41739.13\)

Answer:

C {-2,3,7,9}

Step-by-step explanation:

C {-2,3,7,9}

Answer:$14.25

Step-by-step explanation:

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The volume of the cylindrical fish tank is given by the equation

V = 282.74 inches³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylindrical fish tank r = 3 inches

The height of the cylindrical fish tank h = 10 inches

The volume of fish tank = πr²h

Substituting the values in the equation , we get

Volume of Cylindrical fish tank V = π x ( 3 )² x 10

On simplifying the equation , we get

Volume of Cylindrical fish tank V = 90π inches ³

Volume of Cylindrical fish tank V = 282.74 inches³

Therefore , the value of V is 282.74 inches³

Hence , the volume of cylindrical fish tank is 282.74 inches³

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Answer:

  1728 in³

Step-by-step explanation:

You want the volume in cubic inches of a cubic foot.

The volume of a cube is equal to the cube of its edge dimension. The cube with edge 12 inches will have a volume of ...

  V = s³

  V = (12 in)³ = 1728 in³

A cubic foot is a volume of 1728 cubic inches.

__

Additional comment

Perhaps this illustrates for you why the volume varies as the cube of the dilation factor. 1 in³ × 12³ = (12 in)³ = 1728 in³

The distance between your house and school is 4.1 miles.

According to the given question.

Point c represents your house.

Point d represents post office which is directly west to the point c i.e from house.

And point e represents school which is west of the post office.

Also, it is given that the distance between house and post office, cd is 1.7 miles.

And the distance between the post office and school,de is 2.4 miles.

Now, if we see the attached figure we can say that

cd + de = ce

⇒ 1.7miles  + 2.4miles  = 4.1 miles

Hence, the distance between your house and school is 4.1 miles.

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Step-by-step explanation:

The slope of a line perpendicular to y=-10/9x-3 has a slope equal to the negative reciprocal of -10/9. The slope of line W can be calculated as follows:

m = -(-9/10) = 9/10

The equation of the line in point-slope form is:

y - 3 = (9/10)(x - 2)

Expanding the equation gives:

y - 3 = (9/10)x - (9/5)

Solving for y:

y = (9/10)x - (9/5) + 3

y = (9/10)x + (6/5)

The equation of line W is:

y = (9/10)x + (6/5)

Answer: $105.92

Step-by-step explanation: 7.99x2=15.98, 15.98+89.94=105.92

Answer:

4

Step-by-step explanation:

it takes 15 mins to do 1 mile (3 times 5) and 60 mins divided by 15 would be 4 . so 4 miles

The equation of the area is A = 36 + 6x  - 2x^2

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

Length = 6

Width = x feet shorter than length

Height = length plus twice x

From the problem statement, we know that:

Width = 6 - x feet

Height = 6 + 2x feet

So, the area of one of the sides of the box is:

A = (width) * (height)

A = (6 - x) * (6 + 2x)

Expanding the brackets, we get:

A = 36 + 12x - 6x  - 2x^2

A = 36 + 6x  - 2x^2

So the equation that models the area, A, of one of the sides of the box that has the width and height as its dimensions is: A = 36 + 6x  - 2x^2

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Answer:

5

Step-by-step explanation:

we just have to see the units to determine the terms

the terms are, a², ab, b, b², 1 has no terms, but imagine it as \(x^{0}\)

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Using a system of equations, the number of children who swam at the public pool that day was 268 while adults were 92.

A system of equations involves two or more equations solved simultaneously.

It is known as a system of equations or simultaneous equations.

The total number of people who used the public swimming pool = 360

Children's ticket = $1.50

Adult's ticket = $2.25

Total receipts on that day = $609

Let's form the following equations:

Let the number of children = x

Let the number of adults = y

x + y = 360 ... equation 1

1.50x + 2.25y = 609  ... equation 2

From equation 1, y = 360 - x ... equation 3

In equation 2, replace y = 360 - x and solve:

1.5x + 2.25(360 - x) = 609

1.5x + 810 - 2.25x = 609

-0.75x = -201

x = 268

In equation 3, replace x = 268 to find y:

y = 360 - 268

y = 92

Check:

Equation 2:

1.50x + 2.25y = 609

1.50(268) + 2.25(92) = 609

402 + 207 = 609

609 = 609

Thus, with our simultaneous equations, we can conclude that 268 children and 92 adults graced the swimming on that hot summer's day.

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The admission receipts totaled $609.

Answer:

There are 60 minutes in 1 hour, so 3 hours is equal to 3 x 60 = 180 minutes.

Using the given expression, the monthly cost to talk for 3 hours is

$3.00 + $0.05(180) = $3.00 + $9.00 = $12.00

Therefore, the monthly cost to talk for 3 hours is $12.00.

Answer:

B,D,E

Step-by-step explanation:

The conditional variance would be \(\frac{1}{12}\).

What is Conditional Variance?

The variation of a random variable given the value(s) of one or more other variables is known as conditional variance.

According to given question:

       \(E[Y , X=x] =\int\limits^{x+1}_x {y} \, dy \\=\ \frac{(x+1)^{2}- x^{2} }{2} \\\\= x+\frac{1}{2}\)

       \(E[Y^{2} Y , X=x] =\int\limits^{x+1}_x { y^{2} } \, dy \\\\=\ \frac{(x+1)^{3}- x^{3} }{3} \\\\= x^{2}+ x+\frac{1}{3}\)

        \(=x^{2}+ x+\frac{1}{3} - (x+\frac{1}{2}) ^{2} \\\\=\frac{1}{3} -\frac{1}{4} \\\\= \frac{1}{12}\)

Hence, The conditional variance would be \(\frac{1}{12}\).

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Answer: -$480

Step-by-step explanation:

The revenue us P*x

now, when P = $40, we have:

X = 14400 - 3*40^2 = 9600

then the revenue is:

9600*$40 = $384000

now, the price increaces by $2 so the new equation is:

X = 14400 - 3*42^2 = 9108

The revenue is:

9109*$42 = $382536

You can see that the revenua is smaller than before.

Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)

this is:

X´(p) = -3*2*p

then:

X'(40) = -3*2*40 = -120

Theh rate of change of the revenua will be:

X'(40)*$40 = -120*$40 = -$480

Answer:

I think the answer is going to be A (15)(0.75) and 0.7(15 – x) + 0.9x, I hope this helps!! :)

Step-by-step explanation:

The equation of the line parallel to the given line that contains C is obtained as y = x + 6.

For the given question;

The equation of the line is given as;

y = x + 4

The standard form of the equation of line in slope intercept form is;

y = m x + c

where, m is the slope and c is the y intercept.

On comparing;

m₁ = 1

Now, the other lien is parallel to the given line.

Thus, slopes of both lines will be equal.

m₁ = m₂ = 1

The passing points of the line are;

(x₁, y₁) = C(1, 7)

Now, the equation of lien will be;

y - y₁ = m₂(x - x₁)

Put the values;

y - 7 = 1(x - 1)

Simplifying.

y = x + 6

Thus, the equation of the line parallel to the given line that contains C is obtained as y = x + 6.

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Answer:

product you meant

your algebra expression would be:

5 x c - 10

Using the keywords product OF and less than can form your expression.

Answer:

D = (6, -4)

E = (2, 1)

F = (-3, -5)

x-axis makes the y coordinate negative

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

The value of ms is (m2(v3 - v2)) / (v1 - v3).

Given that

m1v1 + m2v2 = (m1 + m2) v3

and we have to solve for ms

We can do this by rearranging the equation above as shown below;

m1v1 + m2v2 = (m1 + m2) v3

m1v1 + m2v2 = m1v3 + m2v3

m1v1 - m1v3 = m2v3 - m2v2

m1(v1 - v3) = m2(v3 - v2)

m1/m2 = (v3 - v2) / (v1 - v3)

m1 = m2(v3 - v2) / (v1 - v3)

m1 = (m2(v3 - v2)) / (v1 - v3)

Therefore, the value of ms is ms = (m2(v3 - v2)) / (v1 - v3)

where m1v1 + m2v2 = (m1 + m2) v3.

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Answer:

Step-by-step explanation:

I can't give you either B or D, but I can calculate the answer.

2^5

=====

(2^5)(3^5)  

The 2^5s cancel out.

1

===

3^5

Another answer could be 3^-5

or

0.004115

Answer:

what tunnel

Step-by-step explanation:

The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.

To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.

The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:

2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores

So, there are approximately 13,000 pores on the top of your foot.

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Answer:

(- 2, 4 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the original x- coordinate.

A translation of 6 units up means add 6 to the original y- coordinate.

Thus

(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )

The coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The point (3,-2), translated 5 units left and 6 units up.

A 5-unit left translation entails taking 5 away from the initial x-coordinate.

A translation of six units upwards entails multiplying the initial y-coordinate by six.

After applying the translation:

(3, -2) → (3- 5, - 2 + 6) → (-2, 4)

Thus, the coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

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