Multiply and simplify the following products. V stands for radical.
Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)

Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

-    -      -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

Answer:

6.00475

Step-by-step explanation:

Answer:

0.3696 radian

21.178°

Step-by-step explanation:

Given :

Radius, r = 22 yards

Area of Sector = 89.45 yd²

Approximate angle of the sector :

Area of Sector = 1/2 * θ * r²

89.45 = 1/2 * θ * 22²

89.45 = 0.5 * 484 * θ

89.45 = 242θ

θ = 89.45 / 242

θ = 0.3696 radian

Radian to degree

0.3696 * 180 / π = 21.178°

Answer:

16

Step-by-step explanation:

Divide 64 by 8 to get 8. this is 1/8 of the books.

3/8 were non fiction, or 24

1/4 (2/8) were picture books, or 16

5/8 were non fiction or picture books, so ’the rest‘ of the chapter books is 3/8.

3/8 were chapter books, or 24.

add the amount of picture books and chapter books since they are the fictional texts.

16+24=40

subtract the amount of non fictional books from the amount of fictional books to get the sum.

40-24=16

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Answer:100

Step-by-step explanation:perimeter times apothem divided by two

Answer:

look at given picture

Step-by-step explanation:

there is complete soln

Answer:

l don't understand please explain ppppppppp

Answer:

x = 8

Step-by-step explanation:

2(78°) = 20x - 4

156 = 20x - 4

add 4 to each side of the equation:

160 = 20x

divide both sides by 20:

x = 8

Answer:

1 ABCD = 3 PQRS

Step-by-step explanation:

Given:

ABCD = PQRS

AD = PS

DC = SR

AD = PS

6 : 18

1 : 3

DC = SR

9 : 27

1 : 3

So,

1 ABCD = 3 PQRS

Answer:

for the first one X=-5

for the second one it's a fraction so look at the picture

Answer:

50 %

Step-by-step explanation:

Answer:

The answer would be x=20

Step-by-step explanation:

Z=20

Y=54

W=54

Answer would be X=20 degrees.

The value of x is 20 degree.

A chord is the line that has its end point on the circumference of the circle but do not pass through the center of the circle.

It is given in the figure to find the value of x

The two arcs have measure 108 and 40 degree

From the Property of the angle subtended by the arc at the center and angle subtended by it any other point on the circle:

Angle x = 1/2 ( angle subtended by the arc at the center)

Angle x = (1/2)*40

x = 20 degree

Therefore the value of x is 20 degree.

To know more about Chord

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Answer:

C

Step-by-step explanation:

Answer:

Part A

12 months a year means

%74.5 x 12 = $894

Part B

4 weeks in a month means

$74.5 ÷ 4 = $18.625

But rounded to the nearest penny. . .

$18.62

because in the thousandths place was a 5 and you round up when there is a 5 or above

Part C

We will go with 31 days in a month, but I will also do 30 for you

$74.5 ÷ 30 = $2.48333

But rounded to the nearest penny. . .

$2.48

because you round down when there is anything less than a 4

$74.5 ÷ 31 = $2.40322580645

But rounded to the nearest penny. . .

$2.40

because you round down when there is anything less than a 4

Answer:

The answer is 1/15

I hope it helps

Answer:

600 m/s2 ×300 kg = 180000 kg.m/s2

Answer:

180000Kgm/s2

Step-by-step explanation:

Force is the product of mass and acceleration. So F=MA

F=600 x 300

F=180000

Using the property of similar triangles, we found that the value of n is 5.

This is the length of the side RQ.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

The given triangles are both right triangles.

So they can be considered similar triangles.

One of the properties of similar triangles is that the ratio of corresponding sides is always equal.

Then we can write for the given triangles,

  BA/RQ = AC/QS

 2/n = 4/10

n = 2 * 10 / 4 = 5

Therefore using the property of similar triangles, we found that the value of n is 5.

To learn more about similar triangles, follow the link.

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Answer and Step-by-step explanation:

Picture this:

There is a base number, and when this number gets multiplied by itself 3 times, we say the number got cubed.

To find the cubic root, we find the number that had to multiply itself 3 times that got the bigger number.

Example:

Let's say we are given the number 27.

If we take the cube root of 27, we get 3.

[tex]\sqrt[3]{27}[/tex] = 3

This is because 3 times itself 3 times is 27.

3 × 3 × 3 = 27

9 × 3 = 27

27 = 27

Another Example:

We are given the number 970299.

If we put this into a calculator and press the button to do this: [tex]\sqrt[3]{x}[/tex], then, in some calculators, it would look like this: [tex]\sqrt[3]{972099}[/tex]

We we click to solve, we get that base number, or the cubed root, to be 99.

That means 99 was multiplied by itself 3 times to get 972099.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

angle b = 25° ( vertically opposite)

angle a = 155° ( linear pair)

angle c = 155 ( vertically opposite)

angle a and c are vertically opposite angles

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

Answer:

24

Step-by-step explanation:

Multiples of 16 are [tex]16,32,48,64,80,...[/tex]

Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.

[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]

Here, 24 is a multiple of 12.

So,

24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.

Answer:

2

Step-by-step explanation:

2 plus 2 equals 4 so thats you answer god bless you

Answer:

( 3, 1 )

Step-by-step explanation: