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3 years ago

5

A diagonal of a parellelogram measures 37 inches. The sides measure 35 inches and 1 foot. Is the parellelogram a rectangle? Expl

ain yoir reasoning m

1 answer:

Monica [59]3 years ago

3 0

Answer:

Yes, it is a rectangle

Step-by-step explanation:

12 ^2 +35^2 =37^2

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A cube has a surface area of 486 square meters. What is the volume of the cube.

Oksana_A [137]

V= s^3
a=486/6=81
s=sqrt(81)=9
v=9^3=729
the volume of the cube is 729cm^3

8 0

3 years ago

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It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num

shutvik [7]

Answer:

A. $y=-1.2x+59$

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, $y_{1}=59\textrm{ million}$

Newspapers circulated in year 2014, $y_{2}=47\textrm{ million}$

Let the time $x$ start at the year 2004. So, $x_{1}=0$

For the year 2014, $x_{2}=2014-2004=10$

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59$

Therefore, the equation describing the relationship is: $y=-1.2x+59$

Part B:

For the year 2018, $x=2018-2004=14$

Plug in 14 for $x$ in the above equation and solve for $y$ . This gives,

$y=-1.2(14)+59\\y=-16.8+59\\y=42.2$

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

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3 years ago

A 16 oz bottle of fruit punch costs $2.40. A 24 oz. bottle of fruit punch costs $3.84. Which size costs less per ounce?

mart [117]

The 16 oz bottle costs less. One cent less, to be exact. I came up with this by dividing the total cost (2.40) by the size of the bottle (16). I came up with .15. I did the same with the other cost and size, coming up with .16.

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4 years ago

What is the solution to the equation below?<br> 8-(x+10)=2x-1

dangina [55]

X = - 1/3 or an alternate form x = -0.3, x = -3 to the power of -1

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3 years ago

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Evaluate f(-2) = -3x² - 2x

Delvig [45]

Answer:

-2F=7x

Step-by-step explanation:

F*-2= -2F 3x*3x=9x

-2F=9x-2x

<u>-2F=7x</u>

8 0

3 years ago