Answer:
Se pueden formar 9 números pares.
Step-by-step explanation:
Dado que con cuatro cartas se pueden formar diferentes números, como por ejemplo 8232 o 3822, para determinar cuántos números pares de cuatro dígitos y diferentes puedes formar con estas cuatro cartas se debe realizar la siguiente tabla:
8232 - 8322 - 8223 = 2 pares 1 impar
2832 - 2823 - 2382 - 2328 - 2283 - 2238 = 4 pares 2 impares
3822 - 3282 - 3228 = 3 pares
Por lo tanto, se pueden formar 9 números pares.
(6 × 10⁷)/(5 × 10⁴)
We could simplify the exponential number of 10 by substracting the exponent number, it could be written as
= 6/5 × 10⁷⁻⁴
= 6/5 × 10³
= 1.2 × 10³
(This is the final answer)
Answer:
50 minutes.
Step-by-step explanation:
We solve this question by proportions, using rule of three.
One hour is 60 minutes.
5/6 hour
This is:
50 minutes.
The rule is "whatever the input is, multiply it by 5, then subtract 2"
For example, if the input is 4 then 4*5 = 20 and 20-2 = 18
So in short, the input 4 leads to the output 18 as shown in the top row of the diagram.
The answer is the box on the bottom row, right hand side where it says "x 5" and "-2" in the two bubbles.
Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545
