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3 years ago

A tree measured 12 1/2

Mathematics

1 answer:

maxonik [38]3 years ago

3 0

Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)

Step-by-step explanation:

It's 12.5 feet the first year

51 feet 5 years later

If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft

12.5x4.08 is 51 feet.

So the tree grows approximately 1 and 5/8 feet a year

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Un terreno de 4200 metros cuadrados de superficie se quiere dividir en dos lotes de manera que el lote menor sea tres cuartas pa

lions [1.4K]

Answer:

El lote menor tendrá 1800 m^2

El lote mayor tendrá 2400 m^2

Step-by-step explanation:

Definamos las variables:

M = superficie del lote mayor

m = superficie del lote menor.

Sabemos que el terreno tiene en total 4200 m^2

Entonces:

M + m = 4200 m^2.

Y queremos que el lote menor sea 3/4 del lote mayor, entonces:

m = (3/4)*M

Podemos reemplazar esto en la ecuación de arriba para obtener:

M + ( (3/4)*M) = 4200 m^2.

Y ahora podemos resolver esto para M

M + (3/4)*M = 4200m^2

M*(1 + 3/4) = 4200m^2

M*(4/4 + 3/4) = 4200 m^2

M*(7/4) = 4200m^2

M = (4/7)*(4200m^2) = 2400m^2

Esto significa que la superficie del mayor lote es 2400 m^2

Y la superficie del menor se puede obtener con la ecuación:

m = (3/4)*M

m = (3/4)*2400m^2 = 1800m^2

La superficie del lote menor es 1800m^2

4 0

3 years ago

If you were using a buy one, get one type of discount?

Gelneren [198K]

if you can plz rewrite this that way i can help

8 0

3 years ago

To increase an amount by 3% what single multiplier would you use? thanks :)

KATRIN_1 [288]

X - an amount

$x+3\%x=x+0.03x=1.03x$

To increase an amount by 3% you can multiply the amount by 1.03.

4 0

3 years ago

Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the $2$ main diagonals

Mariulka [41]

The property of equality of the rows, columns, and diagonals in the magic

square can be used to find the value of n.

The value of n is 6

Reasons:

The magic square can be presented as follows;

$\begin{array}{|c|c|c|}n-2&3&n + 2\\n + 3&n - 1&1\\2&2 \cdot n - 5&n\end{array}\right]$

Given that the sum of the numbers in each row and in each column and in

each of the two diagonals are equal, to find the value of n, two rows having

different number of the variable n can be equated as follows;

The top row = n - 2 + 3 + n + 2 = The bottom row = 2 + 2·n - 5 + n

n - 2 + 3 + n + 2 = 2 + 2·n - 5 + n

2·n + 3 = 3·n - 3

3·n - 3 = 2·n + 3 (symmetric property)

3·n - 2·n = 3 + 3

n = 6

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4 0

3 years ago

Given:

lys-0071 [83]

Answer:

$PS=13\text{ units}$

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

$(PQ)^2+(QR)^2=(PR)^2$

We know that PR is 20.

QR is the combined length of QS+SR, so QR is 5+11 or 16.

So, substitute:

$(PQ)^2+(16)^2=(20)^2$

Solve for PQ. Square:

$(PQ)^2+256=400$

Subtract 256 from both sides:

$(PQ)^2=144$

Take the square root of both sides:

$PQ=12$

So, the side length of PQ is 12.

Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:

$(PQ)^2+(QS)^2=(PS)^2$

We already know that QS is 5. We also just determined that PQ is 12. Substitute:

$(12)^2+(5)^2=(PS)^2$

Square:

$144+25=(PS)^2$

Add:

$169=(PS)^2$

Take the square root of both sides:

$PS=13$

Therefore, the length of PS is 13 units.

And we're done!

7 0

3 years ago