True or False.
A dilation is defined by a scale factor.
​

Answer:

6 and 18

6+6=12

18+6=24

12x2=24

Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B

Step-by-step explanation:

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

Answer:

14 meters

Step-by-step explanation:

A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.

Answer:

red : 50%

blue : 18%

Step-by-step explanation:

Red : 14:28x100 = 50%

blue : 5:28x100= 17,85%= 18%

Answer: 4.55 inches of rain

Step-by-step explanation: Is this a trick question? It's a lot easier than it looks...but i'll give you a step by step explanation.

So, we know is 4.5 hours it collect 2.8 inches of rain, must have been a rainy day.

The next day the gauge collect 1.75 inches of rain, it must have sprinkled a little.

2.8 + 1.75 = 4.55

Therefore, the guage collected 4.55 inches of rain in total.

I hope this helps!

Answer:

69.8

Step-by-step explanation:

Answer:

v

Step-by-step explanation:

it has two equal sides of 6 and thats all you need

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114

Answer:

18

Step-by-step explanation:

The pattern goes in even number increments of two.

Hope this helps :)

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

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Answer:

All

Step-by-step explanation:

Answer:

All

Step-by-step explanation:

Hope this helps

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

Answer:

b = 6 mm

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 8² = 10²

b² + 64 = 100 ( subtract 64 from both sides )

b² = 36 ( take the square root of both sides )

b = [tex]\sqrt{36}[/tex] = 6

b = 6 mm

Step-by-step explanation:

To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...

[tex]a^2+b^2=c^2[/tex]

It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.

[tex]8^2+b^2=10^2[/tex]

[tex]64+b^2=100[/tex]

Subtract 64 from both sides.

[tex]b^2=36[/tex]

A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.

[tex]\sqrt{36}=6[/tex]

b = 6

Answer:

6

Step-by-step explanation:

when u substitude the value of n as 2

u get 2*2-1+1=6

hope this helps

there is a mistake in question that f(1)= -6

but i have answered correctly

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Answer:

f(2)= - 5

Step-by-step explanation:

hello :

f(1)=-3

f(n)=2f(n-1)+1

n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1   but f(1) = -3

so : f(2)=2(-3)+1 =-6+1=-5

Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

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Answer:

18

Step-by-step explanation:

3 colors: red, turquoise, or green

2 seats: leather or cloth

3 interior color: black, tan, or grey

3*2*3 = 18 Possible trucks:

{red, leather, black}

{red, leather, tan}

{red, leather, grey}

{red, cloth, black}

{red, cloth, tan}

{red, cloth, grey}

{ turquoise, leather, black}

{ turquoise, leather, tan}

{ turquoise, leather, grey}

{ turquoise, cloth, black}

{ turquoise, cloth, tan}

{ turquoise, cloth, grey}

{green, leather, black}

{green, leather, tan}

{green, leather, grey}

{green, cloth, black}

{green, cloth, tan}

{green, cloth, grey}

Answer:

$6.96

Step-by-step explanation:

(4*8.99) + (3*7)

35.96 + 21 = 56.96

50- 56.96 =  -6.96   So she owes 6.96

Answer: A. 9x9 tiles are the biggest ones that she can use. B. 48 C. Examples are: 8x8, 6x6, 4x4, 3x3, 2x2, and 1x1 ft

Step-by-step explanation: If the area is 432 ft. then you would have to find the tiles that can be put in there but can also be equally divided by the number.

The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A restaurant owner is replacing the restaurant’s bathroom floor with square tiles.

The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut.

The floor is a rectangle that measures 24 feet by 18 feet.

Then the area of the bathroom will be

Area = 24 x 18

Area = 432 square feet

Let n be the number of tiles and a be the side length of the square tile.

na² = 432

If a = 1, Then the number of tiles will be

n = 432

If a = 2, Then the number of tiles will be

n x 2² = 432

n x 4 = 432

n = 108

The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.

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Answer:

Step-by-step explanation:

Answer:

the total number of students is 1240

Step-by-step explanation:

the difference between 11 and 9 is 2

124÷2=62

62×11=682

62×9=558

682+558=1240

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Answer:

Give the positive and negative answer

Step-by-step explanation:

Answer:

The first step in solving quadratic equations is to isolate the squared term by adding or subtracting any constant term to both sides.

Step-by-step explanation:

Answer:

x = 70°

Step-by-step explanation:

Sum of external angles of polygon = 360

x + 150 + 140 = 360

x + 290 = 360

x = 360 - 290

x = 70°

Answer:

-5t² + 2t - 3

Step-by-step explanation:

G = 3t2 – 5t + 6

P = -8t² + 7t – 9

G + P

= (3t² – 5t + 6) + (-8t² + 7t – 9)

= 3t² - 8t² - 5t + 7t + 6 - 9

= -5t² + 2t - 3

Answer:

[tex](5,-3)[/tex]

Step-by-step explanation:

Solve by Graphing.

Graph the lines.

When we graphed them, the intercepted at point (5,-3).

The solution the the system of equations is (5,-3).

Answer:

5,-3

Step-by-step explanation:

Answer:

Triangle IV

Step-by-step explanation:

Answer:

The vertex is at (-4, -18)  (Fourth answer choice)

Step-by-step explanation:

The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.

"Completing the square" is one of the faster and better ways of determining the vertex:

f(x) = x^2 + 8x - 2  =>  f(x) = x^2 + 8x + 16 - 16 - 2  =>  (x + 4)^2 - 18.  Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18.  The vertex is at (-4, -18).

Answer:

785.4

Step-by-step explanation:

[tex]\pi[/tex] x 5^2 x 10 = 785.4

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