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2 years ago

Rectangle B is shown below. Nadia drew a scaled version of Rectangle B using a scale factor of = and labeled

Mathematics

2 answers:

koban [17]2 years ago

6 0

Answer:

2 square units

Step-by-step explanation:

hello

The scale factor or linear scale factor is the ratio between the length of the same side in two similar figures.

in the graph we have a rectangle with width 5 units and long 10 units, and we know the scale factor is 1/5

$S_{f}=\frac{width(C)}{width(B)}\\ \\Width(B)*S_{f} =width(C)=5 units *\frac{1}{5} \\\\Width(C) =\frac{5}{5} units =1 unit$

$S_{f} =\frac{length (C)}{length(B)} \\\\\\length(C)=length(B)*S_{f}\\length(C)=(10*\frac{1}{5})$

$Length(C) =2 units\\\\ the area is A=w*l\\\\A=1 unit * 2 units\\\\\\$

A=2 square units

I hope it helps

Lina20 [59]2 years ago

4 0

Answer:

The area of rectangle C is 2

Step-by-step explanation:

Using a scale factor of $\frac{1}{5}$ yields the side lengths of 1 and 2

$(1)(2)=2$

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A certain type of plywood consists of six layers. The thickness of the layers are independent and normally distributed with mean

Ira Lisetskai [31]

Answer:

a.) The mean of the six layered plywood is 30 mm

The standard deviation is 0.49 mm

b.) That the thickness is less than 28 mm has a probability of 0.000022.

Step-by-step explanation:

There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.

The thickness of the layers of the plywood have a mean, $\mu$ = 5 mm

and a standard deviation, $\sigma$ = 0.2 mm.

a.) Therefore the mean of the six layered plywood is = 6 $\mu$

= 6 × 5 mmm

= 30 mm

The standard deviation of the six layered plywood = $\sqrt{6 \sigma^{2} }$ = $\sqrt{6 \times (0.2)^2}$ = 0.49 mm

b.) We are given to find that the probability of the plywood is less than 28 mm thick.

P( thickness < 28 mm)

P( Z < $\frac{(28 - 30)}{0.49}$ ) = P(Z < $(\frac{-2}{0.49} )$ ) ⇒ P( Z < -4.082) = 0.000022

8 0

2 years ago

The ratio of money in Brian's wallet to Colin's wallet one day was 5:1. Brian spent £27 that day. Brian now had £3 less than Col

myrzilka [38]

Answer:

Brian had $30 initially.Brian had $30 initially.

Step-by-step explanation:

WE are given the following in the question:

Let Brian have x dollars and Colin have y dollars.

Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:

$\dfrac{x}{y} = \dfrac{5}{1}\\\\x = 5y$

"Brian spent £27 that day. Brian now had £3 less than Colin."

Thus, we can write the equation:

$x-27 = y-3\\x-y = 24$

Solving the two equation by substitution, we get,

$x - y - 24\\5y - y = 24\\4y = 24\\y=6\\x = 5y =30$

Thus, Brian had $30 initially.

7 0

1 year ago

Three litres of milk cost r29,95 at shop a and two liters of milk cost r15,95 at shop

Savatey [412]

At first shop the 3 liters of milk cost 2995
cost per liter = cost / volume
cost per liter = 2995 / 3 L
cost per liter = 998 per liter of milk

at second shop the two liters of milk cost 1595
cost per liter = cost / volume
cost per liter = 1595 / 2 L
cost per liter = 797.5 per liter of milk

6 0

2 years ago

A manageress earned £24,500 last year. This year she earns £25,235.

Korolek [52]

Answer:

Step-by-step explanation:

245000 last year

This year 25235

(y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

(( £25.235 - £24.500) / £24.500) * 100 = 0 %

There ain't no percentage change as there needs to be a bigger difference between the two numbers plus u should use the formula

7 0

1 year ago

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

Marta_Voda [28]

Given:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.

To Find:

A system of linear equations represents the situation.

Answer:

$x+y=26\\\\x=y+12$

Step-by-step explanation:

We are given that x represents the number of fiction books and y is the number of non-fiction books.

We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write

$x+y=26$

Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write

$x=y+12$

So, the total system of equations can be represented as

$x+y=26\\\\x=y+12$

4 0

2 years ago

Read 2 more answers