12. Find T in the diagram, if R = 110° and S = 60°.

Step-by-step explanation:

let, the ratio of boys and girls be 6x:5x

total student=550

now,

Answer:

hope it helps you have a good day

Answer:

Way too many

Step-by-step explanation:

(92)

As 200 is not a perfect square it is not possible to increase the dimensions of the park by the same number of miles.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×width).

Given, Park rangers plan to expand the area of the park to 506 square miles.

Currently, the park has an area of (18×17) = 306 square miles.

Therefore, The amount of square miles they need to increase is (506 - 306)

= 200 miles.

Now, They also want to increase the length and the width by the same amount but 200 is not a perfect square so it is not possible to increase the dimensions by the same amount.

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The student is testing each soil's permeability, and soil X is more permeable than soil Y. The correct option is A.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

Porosity can be defined as the quality of the material having pores or holes. The permeability can be defined as the state or quality of a material that allows liquids or gases to pass through it.

The soil which does not hold much water can be considered of high porosity and high permeability. As it is only possible if the soil has a large number of pores and it is not in compact form.  

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Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 7, 8 }

n ( S ) = 8

Let A be the event of getting 4,

A = { 4 }

n ( A ) = 1

P ( A )

= n ( A ) / n ( S )

= 1 / 8

Therefore, the probability of spinning a 4 is 1 / 8.

S = { A, B, A, C, A, B }

n ( S ) = 6

Let Y be the event of getting C,

Y = { C }

n ( Y ) = 1

P ( Y )

= n ( Y ) / n ( S )

= 1 / 6

Therefore, the probability of spinning a C is 1 / 6.

Answer:

12,000 Litres

Step-by-step explanation:

From the measurements given in the figure, we can understand that the tank is cuboidal in shape.

Thus,

Volume of a cuboid = Width*Length*Height

Volume of Oil in the tank = 5 * 2 * 1.2

                                          = 12 cubic metres

1 cubic metre = 1000 litres

12 cubic metres = 12,000 litres

Hope it helps (:

Answer: -37

Step-by-step explanation: -11-26

Answer:

[tex] log_{s}6 - log_{s}2 \\ = log_{s}( \frac{6}{2} ) \\ = log_{s}3[/tex]

Answer:

81π sq. in.

Step-by-step explanation:

A = 36π = [tex]\pi r^{2}[/tex]

[tex]r^{2}[/tex] = 36

r = 6 = radius of the mirror

Add 3 to the 6 to get the radius(R) including the frame

R = 9

A = [tex]\pi 9^{2}[/tex] = 81π sq. in.

The three variable system is written as (x, y, z).

Here we have to find the definition of three variable system.

basically a solution of a system in three variables is an ordered triple (x, y, z) that makes all three equations true.

On the other hand it is what they all three have in common.

Where as the solution to a system of three equations in three variables (x, y, z) is called an ordered triple.

In order to solve these one we have to do the following:

First we have to pick any two pairs of equations from the system.

And then we have to eliminate the same variable from each pair using the Addition/Subtraction method.

Final step is to solve the system of the two new equations using the Addition/Subtraction method.

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The probability of a lion living longer than 10.1 will be 0.1585.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years.

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

Mean u = 12.5 years

Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

The empirical rule ( 68-95-99.7% ) states:

P ( u - s < X < u + s ) = 68%

P ( u - 2s < X < u + 2s ) = 95%

P ( u - 3s < X < u + 3s ) = 99.7%

The test has the following number of standard deviations (s):

u - s < X < u + s  = 12.5 - 2.4 < X < 12.5 + 2.4  = 10.1 < X < 14.9

u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8  = 7.7 < X < 17.3

u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2  = 5.3 < X < 19.7

Then the probability is calculated as,

P ( 10.1 < X < 14.9 ) = 0.68

P ( 7.7 < X < 17.3 ) = 0.95

P ( 5.3 < X < 19.7 ) = 0.997

We need P ( X < 10.1 ) and P ( X < 5.3 ):

P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

P ( X < 10.1 ) = [ 1 - 0.68 ] / 2

P ( X < 10.1 ) = 0.16

P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

P ( X < 5.3 ) = [ 1 - 0.997 ] / 2

P ( X < 5.3 ) = 0.0015

P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

P ( 5.3 < X < 10.1 ) = 0.16 - 0.0015

P ( 5.3 < X < 10.1 ) = 0.1585

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No, It is not possible to have a complex number in the form of a + bi when b = 0.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Complex number.

It is in the form of a + ib.

Where a and b are real numbers.

Now,

If b = 0 then we can not have a complex number.

Example:

a + bi

a = 1 and b = 0

1 + 0i = 1 which is not a complex number.

In order to have a complex number a can be any real number and 0 but b  can not be a zero.

Thus,

It is not possible to have a complex number in the form of a + bi when

b = 0.

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The correct factorization are as follows:

(a) x² + x = x(x + 1)

(b) 3x-9x² = 3x(1 - 3x)

(c) 7x³ - 35x = 7x(x^2 - 5)

(d) 4x³ + 24x² = 4x^2(x + 6)

What do you mean by "factorization"?

The most crucial step in factorization is to identify the terms points of commonality. Divide each term by the common factor between them, then multiply the result by the entire expression to maintain the value.

One of the key techniques for reducing an algebraic or quadratic equation to a simple form is factorization. Thus, one should be familiar with factorisation formulas in order to simplify the complex problem.

Additionally, you can always multiply your response to see if you end up with the same result as your starting point.

Step by step solution:

(a): x² + x, [Here both terms have 'x' in common]

=x( (x²/x) + (x/x) )

= x(x+1)

(b): 3x - 9x², [Here both terms have '3x' in common]

=3x( (3x/3x) - (9x²/3x) )

= 3x(1-3x)

(c): 7x³ - 35x, [here both terms have '7x' in common]

=7x( (7x³/7x) - (35x/7x) )

= 7x(x²-5)

(d): 4x³+ 24x² [here both terms have 4x² in common]

=4x²( (4x³/4x²) + (24x²/4x²) )

= 4x²(x+6)

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Answer:

630c=7ou

1ou=90c,

1po=16(90c)

2po=x

x=288calories

Amelie needed 335 cups of flour for the recipe.

Given data :

She is making 2 1/2 or 2.5 times the original recipe.

Cups in original recipe= 134 cups

cups Amelie will need= 2.5 × 134

                                     = 335 cups

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Answer:

[tex]b = 90[/tex]

[tex]d = 100[/tex]

[tex]c = 80[/tex]

Step-by-step explanation:

The problem is asking for the values of the variables [tex]b[/tex], [tex]c[/tex], and [tex]d[/tex] in the given parallelogram with angles [tex]d\textdegree[/tex], [tex]c\textdegree[/tex], [tex](b-10)\textdegree[/tex], and [tex](b+10)\textdegree[/tex].

To solve for these variables, we can construct three equations using the knowledge that any two adjacent angles of a parallelogram are supplementary (their measures add to 180º).

The first equation shows that the top two angles are supplementary:

[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]

The second equation shows that the bottom two angles are supplementary:

[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]

The third equations shows that the left two angles are supplementary:

[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]

First, we can solve for [tex]b[/tex] in the second equation using simple algebraic manipulation.

[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]

[tex](b+b)\textdegree + (10-10)\textdegree = 180\textdegree[/tex]

[tex]2b\textdegree = 180\textdegree[/tex]

[tex]b\textdegree = 90\textdegree[/tex]

[tex]b = 90[/tex]

Using this [tex]b[/tex]-value, we can solve for [tex]d[/tex] by rewriting the third equation, plugging [tex]90[/tex] in for [tex]b[/tex]:

[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]

[tex]d\textdegree + (90-10)\textdegree = 180\textdegree[/tex]

[tex]d\textdegree + 80\textdegree = 180\textdegree[/tex]

[tex]d\textdegree = 100\textdegree[/tex]

[tex]d = 100[/tex]

Finally, we can solve for [tex]c[/tex] in the first equation by plugging [tex]100[/tex] in for [tex]d[/tex]:

[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]

[tex]100\textdegree + c\textdegree = 180\textdegree[/tex]

[tex]c\textdegree = 80\textdegree[/tex]

[tex]c = 80[/tex]

F G cannot be simplified because it is not an equation, it is a phrase.

1. First, determine what F G is. In this case, F G is a phrase and not and equation.

2. Since F G is a phrase, it cannot be simplified.

Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.

F G cannot be simplified because it is not an equation, it is a phrase.

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The equation is 80x + 1200 = 3800. And the numbers of at least 30 recliners and 32 sofas the company can have in the shipment.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A company is loading recliners and sofas onto a trailer that has a volume of about, 3800 cubic feet.

Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet.

The company wants the shipment to have at least 30 recliners and more than 25 sofas.

The equation that represents the situation is,

80x + 40y = 3800,

where x is the volume of a sofa and y is the volume of a recliner.

If y = 30 then,

80x + 1200 = 3800

80x = 2600

x = 2600/80

x = 32.5

x ≈ 32

Therefore, 30 recliners and 32 sofas.

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Answer: [tex]13.34\ \text{miles}[/tex]

Step-by-step explanation:

Given

First the person travels 13 mi west and then 3 mi due to south

The distance traveled by crow is represented by line BO

using Pythagoras theorem, we can write

[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]

Answer:

X=32, y=-5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1500 * 0.07 = 105

105 + 1500 = 1605

Answer:

C

Step-by-step explanation:

q3 - q1

7 -1 = 6

Answer:

6 is the IQR

Step-by-step explanation:

To determine the IQR, you need to evaluate the box. The first quartile starts at 1, and the third quartile ends at 7. To calculate IQR, subtract Q1 (1) from Q3 (7). So it would be 7 - 1 = 6

So your answer is 6.

Answer:

Step-by-step explanation:

Let the number be x then,

1) 4 * x + 11

2) 8 * (x + 7)

3) 2x - 1

4) x+ 3x

5) 5x + 12

6) 16 + 1 + x = 17 + x

7) 20 - ( x - 5) = 20 - x + 5 = 25 - x

8) x - 6 + 15 = x +9

Answer:

isosceles triangles have two congruent acute angles

Answer:

8 quadrilaterals

Step-by-step explanation:

a quadrilateral is a shape with 4 sides and vertices

Answer:

32.10

Step-by-step explanation:

25% of 62.80 is 15.70

62.80- 15.70 = 47.10

47.10- the 15 dollar giftard = 32.10

(Hope this helps! Please ask questions in the comments) :D

By the Number line, the true statements are,

⇒ 1 < 3

⇒ - 3 < 1

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

In Number line, Plot the numbers - 3, 1 and 3.

Now, After plotting the numbers in Number line, we get;

⇒ - 3 < 1 < 3

Thus, The correct statements are,

⇒ 1 < 3 and - 3 < 1

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