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faltersainse [42]
3 years ago
5

What is (2a) to the 4th power without exponents?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0
(2a)⁴ = (2⁴).(a⁴) = 16.a⁴ or:

2.2.2.2.a.a.a.a = 2⁴.a⁴

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Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?
BartSMP [9]

Answer:

   

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

c^{2} =a^{2} + b^{2}

Donde c es la hipotenusa y a  y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

15^{2} =12^{2} +b^{2}

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b

Por lo tanto, la longitud del otro cateto es 9 cm

3 0
3 years ago
In the United States, a person eats more than 40,000 pounds of bread in a lifetime if she or he lives to be 80 years old. Does t
Shalnov [3]
Look at some shorter periods of time to decide whether their reasonable. Do that by simplifying the fraction. . . . . 40,000 pounds / 80 years = 4,000 pounds / 8 years = 2,000 pounds (1 ton) / 4 years = 1,000 pounds / 2 years (have you decided yet ? Well, simplify it some more) 1,000 pounds / 2 years = 500 pounds per year = almost 1 and 1/2 pounds of bread every day of your life. NOW what do you think ? Make sense ?
8 0
3 years ago
Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do
grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}

Since triangle WXY is Isosceles, \angle XYW=45^\circ

\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7

3 0
3 years ago
Help! Have no clue how to do. Will give Brainly thing if someone helps
stiv31 [10]

Answer:

h = 18( I might be wrong though)

Step-by-step explanation:

If BE and ED are perpendicular, that means this angle is supplementary.

BEF = 3h-12

FED = 2h - 23

BEF + FED = 90

3h-12 + 2h - 23 = 90

5h - 35 = 90

5h = 90

h = 18 degrees

5 0
3 years ago
Read 2 more answers
a pair of basketball shoes was originally priced at $80, but was marked up 37.5%. what was the retail price of the shoes
Galina-37 [17]
37.5% of $80 = $30
Since it is marked up, you add $30 to the current price. 
$80 + $30 = $110.
5 0
3 years ago
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