Which statement is true?

Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

Step-by-step explanation:

Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum

Scale factor are used to increase or diminish the original figrure.

Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:

A = length * width * heiht

A = abc

If the measure of the sides are doubled, hence;

New volume = 2a * 2b * 2c

New volume = 8abc

Ratio = 8abc/abc
Ratio = 8

Hence the new volume will be 8times larger than the initial volume

Learn more on volume of a figure here: https://brainly.com/question/511679

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]

Cost of 1 sq.m. = 2

Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Answer:

C) base side length = 30.6 cm, height = 27.3 cm

Step-by-step explanation:

Answer:

c on ed

Step-by-step explanation:

Answer:

Option D

One worker works for much fewer hours than everyone else

Step-by-step explanation:

First of all, we will need to clarify the concepts.

The median of a distribution is the middle number in that distribution, after the values have been arranged in either an ascending or descending order.

The mean is a weighted average of a distribution.

The mean has the characteristic of  usually being affected by extremely low or extremely high values.

In our case, we have a relatively low value in terms of hours worked. This means that in the distribution, the worker that worked only 20 hours, will affect the mean hours worked by all the workers, making it lower than the median value.  

Means give better results, when used to analyse distributions with smaller ranges.

Answer:

The difference between the number of expected outcomes and the number of actual outcomes = 5

Step-by-step explanation:

She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5

Hope this Helps!!!

Answer:

B

Step-by-step explanation:

Answer:

$3,125

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Answer:

C. If you flip a coin, it will come up either heads or tails.

Step-by-step explanation:

A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.

B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.

C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.

D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.

Answer:

If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.

Step-by-step explanation:

Multiply both sides by 9.

x/9 = 3

(x/9) * (9) = (3) * (9)

x=27

The solution of the expression x/9 = 3 is,

⇒ x = 27

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ x/9 = 3

Now, Simplify the expression as;

⇒ x/9 = 3

Multiply by 9, we get;

⇒ 9 × x/9 = 9 × 3

⇒ x = 27

Thus, The solution is,

⇒ x = 27

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

26

Step-by-step explanation:

I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.

The length of line segment EF is 26.

A line segment is a subset of a line which has two endpoints.

A ray has one end point and extends indefinitely on the other direction.

A line extends indefinitely on both of it's directions.

From the given data

Line segment DF has a length 38 and line segment DE has a length 12.

To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.

∴ EF = DF - DE

  EF = 38 - 12'

  EF = 26.

So, the line segment EF has a length of 26.

Learn more about Line segments here :

https://brainly.com/question/25727583

#SPJ6

Answer:

g(3)=9

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to 3.

Therefore, we can substitute 3 in for x in the equation

g(x)=x^2

g(3)=3^2

Evaluate the exponent

g(3)=3*3

g(3)=9

Answer:

steps

1) 14/28 to convert to a percent you have to first divide the numerator from the demoninator and then  you  multiply by 100 and you get get %50 (you could had known bc 14 is half of 28)

2) 5/28 do the same thing as the first step and get %17.85

-Feel free to ask for more help :)

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

Answer:

m∠QPR = 20°

Step-by-step explanation:

If we make a sketch of the triangle, it will be observed, that line R bisects angle P.

Considering Triangle, ΔQPS;

∠QPS=107∘

Considering triangle, QPR;

∠QPR=9x-115∘

Considering triangle, RPS;

∠RPS=4x+27∘

Thus, ∠RPS + ∠QPR = ∠QPS

4x+27° + 9x-115° = 107°

13x - 88° = 107∘

13 x = 107∘ + 88∘

13x = 195°

x = 195°/13

x = 15°

m∠QPR = 9x - 115°

= (9 x 15) - 115°

= 135° - 115°

= 20°

Therefore, m∠QPR = 20°

Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

So the right answer is 5/6.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

​  

=  

4

128

​  

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data point Distance from the mean

262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

​  

=  

4

14

​  

=3.5 putts  I hope it helps.

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Answer: 1 i think is option b, 2 i think is option c, page 2, question 1 i think is option b, question 2 i think is option a, page 3, question 1 i think is option a or b, and the last one i think is option c

Step-by-step explanation: i cant figure out others

Answer:

112

Step-by-step explanation:

Answer:

1. 20 + 2x ≤ 60

2. Yes, see explanation

Step-by-step explanation:

Let x equal the amount of exercises Anna can perform.

The inequality will look like this:

20 + 2x ≤ 60

Let's go over each of the values and why there in the equation.

20: The amount of minutes Anna has already spent in the gym

2: The amount of minutes per exercise

x: The amount of exercises Anna can perform

≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.

60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.

Now, plug in 18 for x for question 2.

20 + 2(18) ≤ 60

Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.

Evaluating 20 + 36, the inequality becomes 56 ≤ 60.

Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.

Answer:

C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]

Step-by-step explanation:

Before we start, you can think of the variable "c," as x.

The quadratic formula/equation is:

[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4c^2+7c-5=0[/tex]

Plug in the numbers accordingly to the letter associated, like so:

[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]

[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]

[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]

Answer:

#3    1/2

Step-by-step explanation:

if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2

Answer:

C. Fair Credit Billing Act

Step-by-step explanation:PLATO

Answer:

a)

Theoretical: 10/30 = 1/3

Experimental: 12/30 = 6/15

Step-by-step explanation:

the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2

30 ÷ 3 = 10

the theoretical probability = 10/30 or simplified 1/3

the experimental probability is the result when one of the numbers from

1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15

Theoretical:

fraction: 1/3

decimal: 0.33∞

percentage: 33%

Experimental:

fraction: 6/15

decimal: 0.4

percentage: 40%

I hope this was helpful :-)

Answer:

y > -4

Step-by-step explanation:

−2y<8

Divide each side by -2, remembering to flip the inequality since we are dividing by a negative

-2y/-2 > 8/-2

y > -4

Answer:

Last option

y > -4

Step-by-step explanation:

-2y < 8

Switch sides

-8 < 2y

-4 < y

Or

y > -4

Answer:

C

Step-by-step explanation:

It cannot be A because it is a parabola, and what that means is the x^2. So, we can immediately eliminate that. This is because if you do a sketch of it it was the "U" shape. I am not positive, but I think that it is C because of the pattern going on in the y-coordinate. It goes +2, +4, then presumably +6. So then the (0,y) is (0,12). This would mean that the equation would end with +12. That is why C is the best choice. I hope that answered your question, and is correct!

Interest formula: A = Pe^rt

A = amount

P = principal amount

r = interest rate

t = time

We know that in the question we have:

P = 8,000

r = 0.019

t = 6

Now, solve with the given values:

A = 8000e^(0.019*6)

A = 8000e^(0.114)

A = 8966.016...

Round to the nearest hundredth:

8966.016... → 8,966.02

Therefore, the answer is [ $8,966.02 ]

Best of Luck!

Answer:

$8,966.02

Step-by-step explanation:

Amount = 8000 × e^(6 × 1.9/100)

Amount = 8000 × e^0.114

Amount = 8966.016999

Answer:

B. 90

Step-by-step explanation:

In a triangle if one of the angle is 90 deg the triangle is said to be a RIGHT ANGLED TRIANGLE.

Hope this helps, Pls Mark me as Brainliest!!!

Given triangle is a right-angle triangle. option B is correct.

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

A triangle is said to have a right angle if one of its angles is precisely 90 degrees. There are several techniques to spot a right angle triangle, including:

Therefor, the given triangle is a right-angle triangle.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ7