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3 years ago

Select all the expressions that represent the large rectangle's total area.

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

4 0

Answer: i think its 5,3 and 2

step by step explanation:

Deffense [45]3 years ago

3 0

Answer:

2,3, and 5

Step-by-step explanation:

You might be interested in

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is

DENIUS [597]

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625 in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

4 0

3 years ago

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an

ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate $= 8\frac{1}{2}\%=8.5\%$

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

$= \frac {8.5}{100}\times 12.99$

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

$= \frac {8.5}{100}\times 39.99$

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

3 0

3 years ago

2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

3 0

3 years ago

The cost of living last year went up 5%. Fortunately, Alice Swanson got a 5% raise in her salary from last year. This year sh

kompoz [17]

Answer:

49038.0952

Step-by-step explanation:

x+0.05x=51490

1.05x/1.05= 51490/1.05

x=49038.0952

3 0

3 years ago

What is -5/6 + -5/6? (its ment to be a fraction)

maks197457 [2]

The answer is: " -5/3 " ; or, write as: " -1 ⅔ " .
_____________________________________________
Explanation:
_____________________________________________

(-5/6) + (-5/6) = (-5/6) <span>− (5/6) ;

------> {since: "adding a negative" is the same a "subtracting a positive"} ;

------> </span> (-5/6) − (5/6) = (-5 − 5) / 6 ;

= -10/6 = (-10/2) / (6/2) ;
_____________________________________________________
= " -5/3 " ; or, write as: " -1 ⅔ " .
_____________________________________________________

8 0

3 years ago