What is the perimeter of the shape below, given a = 8.16, b = 234, C = 461,0 =
2.56, e = 8.00, f = 2.51, g = 9.81

Use the payout annuity formula given below:

Here P0 is the account balance , here P0=$350000.

r is the rate here r=0.0485.

k is the number of compounding periods in a year.

One year has approximately 52 weeks so k=52.

N is the number of years here N=27.

d is the periodic withdrawl which needs to be calculated.

Substitute all values in the formula to get:

So weekly withdrawl is $447.2546448 can be approximated to $447.25 to be safe.

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

Yes -15.5 is a rational number

Step-by-step explanation:

A rational number is a number that can be in the form p/q

where p and q are integers and q is not equal to zero.

-15.5 can easily be converted to fraction form which is = \(\frac{31}{2}\)

Hope this helps you! :)

Answer:

Yes

Step-by-step explanation:

-15.5 can be rewritten as -155/10, which is a rational number.  Yes.

Furthermore, -155/10 can be reduced to the equivalent

-31/2

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

B, C, and D

Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

Answer:

hope someone helps you

Step-by-step explanation:

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The centre coordinates would be the opposite value of what is in the brackets

For example, the x value in the brackets is -3, the centre coordinate x value would be positive 3

The same would apply to the y value

The radius would be the square root of 36

Thus, your answer would be option A

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Answer:

I think its 400

Step-by-step explanation:

8 seats per table, if there are 10 tables, means 80 seats in total. 80 times 5 gives you the amount of silverware: 400

If there are 10 tables (t) with 8 seats (s), there will be a total of 80 people needing silverware. So the equation is 5·10·8=400

There will be 400 pieces of silverware.

Answer:

\(A = 120\,cm^{2}\)

Step-by-step explanation:

(The following problem has been presented in Portuguese and for that reason explanation will be presented in Spanish, which has some simillarities with Portuguese)

Sean \(x\) y \(x + 7\) el largo y la altura del rectángulo, el perímetro y el área de la figura están dados por las siguientes expresiones:

\(p = 2\cdot (2\cdot x+7)\) y \(A = x\cdot (x+7)\)

Se determina el valor de x a partir de la expresión del perímetro:

\(46 = 4\cdot x +14\)

\(4\cdot x = 32\)

\(x = 8\,cm\)

Finalmente, el área del rectángulo es:

\(A = (8\,cm) \cdot (15\,cm)\)

\(A = 120\,cm^{2}\)

Answer:

59,475,643

Step-by-step explanation:

Since y is a function of x from the result, hence the equation x^2+y=122 define y as a function of x.

An equation are expression written as a variable of one in terms the other. One of the variables are dependent variables while the other is independent variable.

Subject of formula is a way of expressing a variable in terms of the other in an equation.

Given the following equation as shown below;

x^2+y=122

We are to determined whether we can write y as a function of x. To do that, we will subtract x^2 from both sides to have:

x^2+y - x^2 =122 - x^2

y = 122 - x^2

Since y is a function of x from the result, hence the equation x^2+y=122 define y as a function of x.

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

7*2=14

5*2= 10

it would be (a) because 14 is greater than 12

Answer:

Step-by-step explanation:

⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️

Answer:

Given:

     b = 8 cm

     h = 3 cm

Find : Volume

Formula: V = \(a^{2}\)h/3

Solution: V = (8 cm)2 ( 3 cm)/ 3

               V = (64 cm2)(3 cm)/3

               V = 192 cm3/3

               V = 64 cubic cm

Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.

Answer:

Option B

Step-by-step explanation:

Use the formula

\(x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}\)

now input the values. In equation \(x^{2} - 5x + 7 = 0\), a = 1, b = -5 & c = 7

By taking positive sign we get,

\(x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}\)

⇒\(x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}\)

⇒\(x = \frac{5+\sqrt{25-28 } }{2}\)

⇒\(x = \frac{5+\sqrt{-3 } }{2}\)

In the same way, by taking minus sign, we get \(x = \frac{5-\sqrt{-3 } }{2}\)

Answer:

A) convex

B) concave

C) scalene

Step-by-step explanation:

A) Convex:

A concave polygon have "caves."

All diagonals fit inside of a convex polygon.

B) Concave:

They have at least one diagonal on the outside. Not all fit snugly inside like a convex polygon.

C) Scalene:

Scalene polygons have sides that are all unequal from each other.

Below is a picture of convex and concave polygons.

Answer:

sure

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

Answer: I don’t know much but I still know some! If you ever need help reply to this comment please

Step-by-step explanation:

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

1. given

2. inscribed circle theorem

3. substitution

4. definition of congruent angles

Answer:

Step-by-step explanation:

O gráfico  de g(x) = [x+3] é uma Reta que passarum pelo pno (3,0) e tem inclinação 1.

The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

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The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

Answer:

Line

Step-by-step explanation:

Answer:

LIIIIINE

Step-by-step explanation:

Answer:

i dont know sry need points sry

Step-by-step explanation: