calculate the measure of x

Answer:

4

7 * 4 = 28

28 + 2 = 30

Step-by-step explanation:

Hope it helps! =D

Solution is in the attachment!!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

The equation to model the situation will be written as y = 14 × (0.58)ˣ.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

y = a (1 ± r)ˣ

Assume an exponential function has a starting value of 14 and a decay rate of 42%. Then the equation is given as,

y = 14 × (1 - 0.42)ˣ

y = 14 × (0.58)ˣ

The equation to model the situation will be written as y = 14 × (0.58)ˣ.

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were going to need a lil more than that to answer :(

1km would be represented by 4cm on a  1 : 25000 scale map.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The scale on a 1 : 50000 ordnance survey map indicates that 2cm on the map = 1km on the ground.

We know 1 km = 1×100000 = 100000 cm.

So, If 2 cm represents 100000 cm it has a scale factor of 100000/2 = 50000.

Now, Again 1 km = 100000 cm,

So, 1km will be represented by 100000/25000 = 4 cm.

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The peripheral angle above the arc would be:

160 / 2 = 80 degrees.

The peripheral angle above a circular arc is equal to the central angle subtended by the arc divided by 2.

The central angle of a circle is 360 degrees, so if the arc represents 4/9 of the circle, the central angle subtended by the arc would be:

360 * (4/9) = 160 degrees

The peripheral angle above the arc would be:

160 / 2 = 80 degrees.

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The average amount of cliff's height that decreased each year is 1/6 inches.

The rate at which one value changes with respect to per unit change in the other value is called the unit rate. Mathematically -

{ r } = y/x                                                          .... Eq { 1 }

Given is that over the course of an 18 year research project, the height of an oceanside cliff actually dropped due to soil erosion. At the end of this period, its height was measured as -3 inches compared to what it had been at the beginning of the research project.

We can write the the average amount of cliff's height that changed each year as -

{r} = |h|/|t|

{r} = 3/18

{r} = 1/6

Therefore, the average amount of cliff's height that decreased each year is 1/6 inches.

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Answer:

Step-by-step explanation:

0.10267857142000002

Answer:

see explanation

Step-by-step explanation:

given the ratio of 2 similar figures is [tex]\frac{a}{b}[/tex]

then the ratio of perimeters is also [tex]\frac{a}{b}[/tex]

and the ratio of areas is ( [tex]\frac{a}{b}[/tex] )² = [tex]\frac{a^2}{b^2}[/tex]

the ratio of side lengths, yellow to green is

[tex]\frac{36}{60}[/tex] = [tex]\frac{3}{5}[/tex] ( cancelling 36 and 60 by 12 )

the ratio of perimeters is equal to ratio of sides, that is [tex]\frac{3}{5}[/tex]

the ratio of areas = [tex]\frac{3^2}{5^2}[/tex] = [tex]\frac{9}{25}[/tex]

let x be the area of the green figure, then by proportion

[tex]\frac{45}{x}[/tex] = [tex]\frac{9}{25}[/tex] ( cross- multiply )

9x = 1125 ( divide both sides by 9 )

x = 125

that is the area of the green figure is 125 units²

Answer:

I doubt I'm wrong but it's D

The final account balance with compound interest is $6,440.30.

The final account balance when compounded semiannually is higher.

The formula for compound interest is:

A = P (1 + r/n)^(nt)

where:

A = the future value of the investment, including interest

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested/borrowed for

Part A:

r = 3.92% = 0.0392, P =  $5,460.75, n = 2 (semiannually means twice a year), t = 51 months = 4.25 years

A = P (1 + r/n)^(nt)

A = 5,460.75 (1 + 0.0392/2)^(2*4.25)

A = 5,460.75 (1 .0196)^(8.5)

A = $6,440.30

Thus, the final account balance is $6,440.30

Part B:

difference = 6,440.30 - $5,460.75 = $975.55

When the initial deposit is invested with interest compounded semiannually, the final account balance is higher.

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The solution of the given equation is x= 5 and x = -8.

An algebraic equation of the second degree in x is a quadratic equation. First, there must be a term other than zero in the coefficient of x^2 for an equation to be a quadratic equation. The x^2 term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term.

The given equation is x = √40 - 3x.

Square on both sides of the equation:

x^2 = (√40 - 3x)²

x² = 40 - 3x

Regroup to one side of the equation:

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5 (x+8) = 0

(x - 5)(x + 8) = 0

Equate each term to 0:

x - 5 = 0

x= 5

x+ 8 = 0

x = -8

Hence, the solution of the given equation is x= 5 and x = -8.

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The inequality that can be used to represent the number of topsoil and mulch Sam can carry is, 40x + 20y ≤ 480

And, The graph which represents the number of topsoil bags and mulch bags that Sam can move in a single trip is shown in figure.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that:

Weight of top soil = 40 pounds

Weight of mulch = 20 pounds

Total weight Sam can carry = 480 pounds

Now, Let number of bags of top but soil = x

And, The number of weight of mulch = y

Hence, The inequality is,

⇒ 40x + 20y ≤ 480

Therefore, the inequality that can be used to represent the number of topsoil and mulch Sam can carry is 40x + 20y ≤ 480

And, The graph which represents the number of topsoil bags and mulch bags that Sam can move in a single trip is shown in figure.

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Step-by-step explanation:

The original price was 150 / (1 - 0.75) = $600.

The number that probably is an irrational number is 1.6490221...

An irrational number is a number that cannot be expressed as a finite decimal or a fraction.

The number 0 is not irrational.

The number 1.6490221... is an example of a decimal that goes on forever, which is the characteristic of an irrational number.

The number 3/4 can be expressed as a fraction and is therefore not irrational.

The number -5 is not irrational.

Therefore, the answer is 1.6490221..., which is probably an irrational number.

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Answer:

Step-by-step explanation:

Notebooks       Total Cost

0                         0.00

1                          3.00

2                         6.00

3                         9.00

Answer:

  CG = 8

Step-by-step explanation:

Given CG = 4x-16 is congruent to AG = 2x -4, you want the value of CG.

The congruent segments are equal length:

  CG = AG

  4x -16 = 2x -4

  2x = 12 . . . . . . . . . . add 16 -2x

Substitute into the expression for AG:

  2x -4 = 12 -4 = 8

AG is congruent to CG, so ...

  CG = 8

__

Additional comment

You know triangles GBC and GBA are congruent by the HA theorem, since GB bisects angle ABG. Corresponding parts of congruent triangles are congruent, so CG ≅ AG.

Answer: 79

Step-by-step explanation: The weighted average for the scores can be calculated as follows:

Lab score: 94 x 0.23 = 21.62

First major test: 89 x 0.215 = 19.135

Second major test: 63 x 0.215 = 13.495

Final exam: 73 x 0.34 = 24.82

Total weighted average: 21.62 + 19.135 + 13.495 + 24.82 = 78.976

Rounding to the nearest whole number, the weighted average is 79.

The relation between a and c can be written as:

a = c + 24

First we know two equations:

a = b + 12

b = c + 12

So we have relations between a and b, and between b and c, and we want a relation between a and c.

If we replace the b of the first equation with the second equation, then we will get:

a = (c + 12) + 12

a = c + 24

That is the relation between a and c.

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On solving the provided question we cans ay that area of bulletin  board would be 22*10 = 220 cm sq.

The size of an area on a surface can be expressed as an area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a planar region or planar region refers to the area of a form or planar layer. The total amount of space filled by a planar (2-D) surface or shape of an object is known as its area. Draw a square on a piece of paper using a pencil. a character with two dimensions. The area of a shape on paper is the space it takes up. Imagine that the square is composed of more compact unit squares.

This question depends on how thick you would want the border to be.

One simple way to find this is finding the perimeter of the bulletin board. You can do this by using the formula: 2(L) + 2(W)

(L) Represents Length

(W) Represents Width

In this situation, it would be 2(4) + 2(6)

that would turn into 8 + 12

which turns into 20 feet.

area of bulletin  board would be 22*10 = 220 cm sq.

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The value of ST = 10 for the given rectangle.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

In the given triangle PQRS, the diagonals bisect each other, that is they divide each other in equal halves.

Thus. PT = TR

Since, PT = 10 we have TR = 10,

The diagonals of the rectangle are equal, hence we also have:

TR = ST

Since, the value of TR = 10, then the value of ST = 10.

Hence, the value of ST = 10 for the given rectangle.

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Answer: 13 ducklings 5 male 7 female so the answer is 5:7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The experimental probability of getting a Twix is 3/5 or 60%.

The approximate lateral area of the cone is equal to 314 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

25π = πr²

Radius, r = √25

Radius, r = 5 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 5 × 20

Lateral surface area of a cone, LSA = 314 cm².

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Answer:

40 grams

Step-by-step explanation:

Answer: 120-x

Step-by-step explanation:

The probability of rolling 3 sixes to the nearest thousandth is 0.556.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Using binomial distribution.

[tex]^nC_r P^cQ^{n - r}[/tex]

Now,

Probability of getting a six = 1/6

P = 1/6

Probability of not getting a six = 5/6

Q = 5/6

Now,

n = 5 and r = 3

So,

[tex]^nC_r P^rQ^{n - r}[/tex]

= [tex]^5C_3(1/2)^3(5/6)^2[/tex]

= (5 x 4)/2 x (1/2) x (1/2) x (1/2) x (5/6) x (5/6)

= 10 x 1/8 x 25/36

= 5/9

= 0.556

Thus,

The probability of rolling 3 sixes is 0.556.

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