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3 years ago

Answer the question

Mathematics

1 answer:

Mandarinka [93]3 years ago

3 0

Answer:36

Step-by-step explanation:

6 x 12 = 72, then halved, which leaves you with 36

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Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4

Mama L [17]

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is <em>a</em> years and the age of his father is<em> b</em> years. Now Harry is one third as old as his father, thus

$a=\dfrac{1}{3}b$

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

$a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4$

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$ $\sqrt{3}x+4$

Learn more about the algebraic expression here;

brainly.com/question/2164351

7 0

2 years ago

On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphe

Verizon [17]

Answer:

{3,-2}

Step-by-step explanation:

ITS CORRECT

7 0

3 years ago

Read 2 more answers

A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.

melisa1 [442]

Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus

First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°.

Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.

For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.

$\overline{OB}:\overline{AB} = 1:2$
$\overline {OB}:10 = 1:2$
$\overline{OB} = \frac{1}{2}(10) = 5$

Similarly, we have

$\overline{AO}:\overline{AB} = \sqrt{3}:2$
$\overline {AO}:10 = \sqrt{3}:2$
$\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}$

Now, to find the lengths of the diagonals,

$\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}$
$\overline{BC} = 2(\overline{OB}) = 10$

So, the lengths of the diagonals are 10 and 10√3.

Answer: 10 and 10√3 units

8 0

3 years ago

Cedric and Insha solved the same equation using the calculations below.

Mariulka [41]

The first working out is correct, z = 3

3 0

3 years ago

I will give you brainliest! A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the p

Leviafan [203]

180 degree rotation negates both coordinates, and takes a point from quadrant 2 to quadrant 4.

Answer: 4

We can also rotate 180 degrees clockwise, or 540 degrees counterclockwise and end up in the same place.

Combining transformations, we can reflect in the x axis and then in the y axis, also negating both coordinates so equivalent to 180 degree rotation.

7 0

3 years ago