2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade

Answer:

B. 3 by 12

Step-by-step explanation:

[tex]x(4x) = 36[/tex]

[tex]4 {x}^{2} = 36[/tex]

[tex] {x}^{2} = 9[/tex]

[tex]x = 3[/tex]

[tex]4x = 12[/tex]

So the length is 12 inches, and the width is 3 inches.

Answer:

Let us solve this

We’ll do it by the elementary method

Suppose the original fraction be x/y

Given, x : y = 2:3 ……(i)

then y = 3/2x

Now , by condition,

(x-6)/y = 2/3 * x/y

=> (x-6)/y = 4/9 [ from (i) ]

=> x-6 = 4/9y = (4/9)(3/2)x = 2/3x

=> 3x-18 = 2x [cross multiplication]

=> x = 18

Your Answer: the numerator of the original fraction is = 18

Stay Safe

Have a nice day

Answer:

2 real solutions

Step-by-step explanation:

Since the degree of the polynomial is 2, then there are 2 solutions for the equation, but we don't know if they are both complex or both real.

Since the discriminant is [tex]b^2-4ac=(-5)^2-4(3)(-5)=25+60=85 > 0[/tex], then there are 2 real solutions.

Answer:

1 true

2 false

3 false

4 true

Answer:

48 + 2x = 120

x = length od long side.

Answer:

Step-by-step explanation:

21÷7=3

3 yards per week

hope this helps

Answer:

3 yards per day

Step-by-step explanation:

Given :

To Remember :

Solving :

Answer:

1197/2

598 R 1

598½

Step-by-step explanation:

use division method

Answer:

2 divided by 1197 equals 598 with a remainder of 1.

Step-by-step explanation:

There is also another way to do divison if it is confusing for others.

If you multiply 598 and 2 that equals 1196. That is the closest number that can go into 2 598 times. So what i am trying to say is that since the problem is 2 divided by 1197 you have to figure out what number you need to multiply that can go into two. So 2 divided by what equals 1197 OR 2 divided by what number can equal 1197 or any number that is close to 1197. So 598 times 2 equals 1196. With a remainder of 1

I hope this helps because this strategy worked for me when i first learned division so i hope this helps as well :)

The system of equation x − y = 2 and −2x+2y = −4 is dependent becasue the they have same coefficient of x and y option second is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we know, if the two linear equations have the same coefficient of x and y they are dependent or if the graph of two linear equations is the same then the equations are dependent.

From the given options, we can see the system of equations:

x − y = 2 and −2x + 2y = −4 are the same equation.

Take the equation −2x + 2y = −4 and divide by -2 on both sides, we get:

x - y = 2

This is the same equation as x − y = 2

Thus, the system of equation x − y = 2 and −2x+2y = −4 is dependent becasue the they have same coefficient of x and y option second is correct.

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Step-by-step explanation:

if you don't even understand the question, this is also something you need to tell your teacher. it is his/her job to make you understand it.

a probability is always

desired cases / possible cases

so, if we pick a single student randomly, how many possible options do we have ?

we have 2+5+6+9 = 22 students (as the 4 categories in the table are mutually exclusive).

therefore, our possible cases to pick a student are 22.

now, how many of these 22 students represent our desired cases ?

male, who does not have an A : 9

so, the probability to pick a student who is male and does not have an A is

9/22 = 0.409090909...

Answer:

a

Step-by-step explanation:

Answer:97.94

Step-by-step explanation:

11.8*8.3 = 97.94

The sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have:

Decagon, in which the number of sides is 10

The formula for the sum of the interior angles in n number of polygon:

Sum = 180(n - 2)

Plug n = 10

Sum = 180(10-2)

Sum = 1440

Each interior angle = 1440/10 = 144 degree

Each exterior angle = 180 – 144 = 36 degree

The sum of the exterior angles = 36×10 = 360 degree

Similarly, we can find any angle measure for interior or exterior by using the formula:

Sum = 180(n—2)

Where n is the number of sides.

Thus, the sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.

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Answer:

3 hours or 180 minutes

Step-by-step explanation:

This one should be an easy one

First, lets convert everything to units

35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.

Hope it helps :)

Answer:

210?

Step-by-step explanation:

210 has factors of 2, 3, 5, and 7

Answer:

the value for the expression for below is (4^2) ^1/4 is 2

Answer:

2

Step-by-step explanation:

[tex]\sf \boxed{(a^m)^{n}=a^{m*n}}[/tex]

  [tex]\sf (4^2)^\frac{1}{4}=4^{2*\frac{1}{4}}[/tex]

Answer:

9*9*3.14= 254.34

Area= 3.14 (pi)*radius suqare

Step-by-step explanation:

:)

Answer:

it is greater for group B than group A

Step-by-step explanation:

[tex] = ( \frac{4}{9} {)}^{2} \\ [/tex]

[tex] = \frac{ {4}^{2} }{ {9}^{2} } \\ [/tex]

[tex] = \frac{16}{81} \\ [/tex]

The required power 2 of 4/9 in fraction form is 16/81.

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

The given fraction is,

(4/9)

To find the power 2 of fraction 4/9,

Use mathematical operations,

4/9 to the power 2 = (4/9)²

= (4/9)x(4/9)

= 16 / 81

The power 2 of 4/9 as a fraction is 16/81.

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Answer:

The student gets 12 questions correctly.

Step-by-step explanation:

The test has 15 questions, multiply this by .8 to get how many questions he got correct.

Questions answered correctly

Done

Answer:

Answer is in attachment

Mark brainliest pls :)

The weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.

Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.

A small size bottle of water which has the weighs 5/8 pound. One carton has total 30  small bottles of water.

Let the weight in pounds do the 30 small water bottles has is x. Thus,

[tex]x=\dfrac{5}{8}\times30\\x=\dfrac{5}{4}\times15\\x=\dfrac{75}{4}\rm\; pounds[/tex]

Thus, the weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.

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Answer:

............ .. .......

Answer:

14.1 mm

Given:

∠BAC = 90° (angle A should be 90°)

AB = 4.4mm

BC = 14.8mm

See the diagram given below.

Solving using Pythagoras Theorem: a² + b² = c²

x² + 4.4² = 14.8²

x = 14.8² -  4.4²

x = 219.04 - 19.36

x = 199.68

x = √199.68

x = 14.13 ≈ 14.1 mm (rounded to 1 decimal place)

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

The volume of the prism is determined as  1,416 m³ and the surface area of the prism is 664.8 m².

The volume of the prism is determined from the product of base area and slant height of the prism.

Base of the prism, A = ¹/₂bh = ¹/₂ x 12 x 20 = 120 m²

Volume = AL

where;

L² = (12/2)² + (20.3/2)²

L² = 6² + 10.15²

L² = 139.0225

L = 11.8 m

V = AL

V = 120 x 11.8 = 1,416 m³

A = bh + pL

A = (12 x 20) + 11.8(12 + 12 + 12)

A = 664.8 m²

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Answer:

x = 7

Step-by-step explanation:

From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.

===============================================================

Solving :

⇒ (x)² + (24)² = (x + 18)²

⇒ x² + 576 = x² + 36x + 324

⇒ 36x = 576 - 324

⇒ 36x = 252

⇒ x = 252/36

⇒ x = 7

Apply Pythagorean theorem

Answer:

if you want in terms of π, then 3π

if you want it without π, then 9.42

Step-by-step explanation:

plug into formula

3= diameter

c=πd

c=π*3

3π or

π=3.14

so 3.14*3, which is 9.42

Answer:

3π if in terms of pi or 9.42 if π= 3.14

Step-by-step explanation:

Total profit: 646 - 204 = 442

profit per shirt = 442 / 17 = 26

Answer: $26

Answer:

x=11

Step-by-step explanation:

2x+5=27

2x=22

x=11