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Inessa [10]
2 years ago
15

Estimate the quotient of 239.63 ÷ 7.51.

Mathematics
1 answer:
Crank2 years ago
6 0

Answer:

About 30

Step-by-step explanation:

The value 239.63 rounds to 240

The value 7.51 rounds to 8

Divide 240 over 8 and we get 240/8 = 30

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The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about th
AVprozaik [17]

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

d^2 = l^2 + l^2

d^2 = 2l^2

Take positive square root of both sides

d = \sqrt{2l^2}

Split:

d = \sqrt{2} * \sqrt{l^2}

d = \sqrt{2} *l

Recall that the side length (l) is rational.

However, \sqrt 2 is irrational.

So, the product of l and \sqrt 2 will be irrational

Hence:

The diagonal is irrational

8 0
3 years ago
Bojangles has a rectangle-shaped roof with a width of 6x^2 feet and a length 12x^3. What is the area of the roof?
emmainna [20.7K]

area of rectangle = length x width

this is the formula to find it.

now , put the values of length and width,

=> area= 12 x 3 x 6 x 2

=> area =  432 feet^2

Hope this helps!

8 0
3 years ago
Plz help me with this one..
Virty [35]

Answer:

The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same

The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line

Step-by-step explanation:

The given linear equations are;

3·x - 6·y = 9...(1)

x - 2·y = 3...(2)

The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs

Making 'y' the subject of both equations gives;

For equation (1);

3·x - 6·y = 9

3·x - 9 = 6·y

y = x/2 - 3/2

For equation (2);

x - 2·y = 3

x - 3 = 2·y

y = x/2 - 3/2

We observe that the two equations are the same and will have an infinite number of solutions

5 0
3 years ago
Write the equation of the line passing through the point (-3,-9) and perpendicular to the line x=-4
lisabon 2012 [21]

Answer:

y = -9

Step-by-step explanation:

8 0
3 years ago
Brian took eight years to pay off his $71,900 loan. The loan had an interest rate of 8.16%, compounded quarterly. If Brian paid
storchak [24]

$3,081.54 is the right answer

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3 years ago
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