a) Factorise
x2 - 422

Answer:

You know the radius is 1/2 of the diameter.

You can simply do 2/2 which is ONE.

The radius of the trampoline with a diameter of 2 yards will be 1 yard.

The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.

The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,

Radius = Diameter / 2

Radius = ( 2 ) / 2

Radius = 1 yard

Therefore, the radius of the circle will be 1 yard.

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The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Area of square is the square of its sides length. It can be given as,

A=a^2

Here, (a) is the length of the side of the square

The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,

[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]

The area of small squares with side 1 is,

[tex]A=1^2\\A=1 \rm \;unit^2[/tex]

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.

The hypotenuse side length of this triangle is,

[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]

Thus, the area of the square with √2 side is,

[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]

Similarly, the area of all the squares and triangle with the different sides can be found out.

Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

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Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

Answer:

65

Step-by-step explanation:

115 + x = 180

x = 180 - 115

x = 65

Answer:

65°

Step-by-step explanation:

A right-angle equals 90°. Two right angles would be a line like shown in the picture.

So, 90 + 90 = 180.

Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.

180 - 115 = 65

Therefore, 65° equals x.

-kiniwih426

Answer:

[tex]y = 0.835193[/tex] (use the '≈' )

Step-by-step explanation:

[tex]y^3+2y^2+12y+16=28[/tex] (original equation)

[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)

[tex]y^3+2y^2+12y-12=0[/tex] (new equation)

then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)

Answer:

11000 pounds

Step-by-step explanation:

1 US ton=2000 pounds

multiply the mass value by 2000

5.5ton x 2000pound

=11000pounds

Answer:

(B) 70.5

Step-by-step explanation:

During the first second the acceleration is 2, and the distance is 2

During the second second the acceleration is 5, and the distance is 4.5

During the third second the acceleration is 4, and the distance is 9

During the last 5 seconds the acceleration is 0, velocity is 11 and the distance is 55 m

2 + 4.5 + 9 + 55 = 70.5 (B)

Answer:

83.6

Step-by-step explanation:

just use your calculator

Answer:

83.6

Step-by-step explanation:

It's simple, just type it in the calculator and you'll get the answer

Answer:

k = ±√3

Step-by-step explanation:

Given :

To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.

We already set a relation before, which is :

[tex] - 6 - 2[/tex]

[tex] = - 4[/tex]

commutative property.

[tex] 19 - 2[/tex]

[tex] = 17[/tex]

commutative property.

[tex] - 7 - 2[/tex]

[tex] = - 9[/tex]

closure property.

Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

Answer:

37,440

Step-by-step explanation:

To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440

:D

Answer:

D) -22 < 25

Step-by-step explanation:

If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.

47 units right from -22 is the same as: -22 + 47, which equals 25.

So, we can conclude that -22 < 25 is the inequality.

hope this helps!

Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:

[tex]t = 4 + \frac{27}{60} = 4.45[/tex]

Hence, the velocity is given by:

[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]

The bus traveled at a rate of 40 miles per hour.

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Answer:

[tex]g\geq 17[/tex]

[tex]g > -10[/tex]

[tex]g > -1[/tex]

Step-by-step explanation:

[tex]7(g-19)\geq -14[/tex]

Divide both sides by 7:

[tex]g-19\geq -2[/tex]

Add 19 to both sides:

[tex]g\geq 17[/tex]

[tex]3(7g+17) > -19+14g[/tex]

Expand brackets:

[tex]21g+51 > -19+14g[/tex]

Subtract 14g from both sides:

[tex]7g+51 > -19[/tex]

Subtract 51 from both sides:

[tex]7g > -70[/tex]

Divide both sides by 7:

[tex]g > -10[/tex]

[tex]6(-6g+6) > -2(19g-17)[/tex]

Expand brackets:

[tex]-36g+36 > -38g+34[/tex]

Add 38g to both sides:

[tex]2g+36 > 34[/tex]

Subtract 36 from both sides:

[tex]2g > -2[/tex]

Divide both sides by 2:

[tex]g > -1[/tex]

Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

-------------

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

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Answer:

Step-by-step explanation:

Answer:

a=27%

Step-by-step explanation:

-lukelaws

tell me if it helped

Answer:

A

Step-by-step explanation:

Equals 27 percent

I took the test and go it right

Answer:

i pretty sure its   6

                       8x

Step-by-step explanation:

i did the research

Here

Common part is 8 and x⁶

Now

Factor out

GCF=8x⁶

Answer:

the answer is

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

1. 91/5 + 112/5 + 201/5

2. denominators are the same

3. 404/5

Answer:

See below

Step-by-step explanation:

[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]

Answer:

think of it like this

Step-by-step explanation:

whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's

Now we got 3^4  how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same

basically you are multtiplying the left side to get the same number on the right because it tells you they are even

Answer:

I know im late but the answer is 275 I just took the test on k-12

Step-by-step explanation:

Answer:

c = 53.85 or 54

Step-by-step explanation:

Answer:

c. b. a.

Step-by-step explanation:

yan po sagot sana po makatulong ito lang po alam ko ehh