The answer is: " 27 " .
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3⁵ / 3² = 3⁽⁵⁻²⁾ = 3³ = 3 * 3 * 3 = 9 * 3 = 27 .
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-Edit -- Note the following property of exponents : "quotient rule" of exponents:
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Given that "a" and "b" are positive integers; and that "x" is a real number greater than "zero";
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If a <span>≥ b , then:
x</span>ᵃ /xᵇ = x⁽ᵃ ⁻ ᵇ⁾ ;
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If a <span>< b , then:
</span>
xᵃ /xᵇ = x⁽ᵇ ⁻ ᵃ⁾
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The length of the hypotenuse equals to the square root of the sum of the square of the other two sides.
12x12+16x16=144+256=400
The square root of 400 is 20.
By the same way, you can find the length of the hypotenuse of the reduced triangle
9x9+12x12=81+144=225
The square root of 225 is 15
The length of the hypotenuse is 15
The perimeter =12+9+15
The perimeter=36
Answer:
2 outcomes on a coin, and 6 on a dice. Added together you get 8 outcomes possible.
Step-by-step explanation:
there are 2 sides on a coin, so 2 outcomes possible.
there are 6 sides on a dice so 6 outcomes are possible.
Answer:
40 km on the highway
30 km on the city roads
Step-by-step explanation:
Let x = highway
Let y = city road
The time formula: time = distance / speed.
1) Since we do not know the distance travelled on the highway and city roads but we do know the total time taken, we can say x + y = 70. Set the distances x and y and all equated to 2 hours, since we do not know them, nor do we know the time. This is called a system of equations.
x + y = 70
x/80 + y/20 = 2
2) Solve the system of equations using substitution.
x = 70 - y
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70 - y/80 + y/20 = 2
70 + 3y/80 = 2
y = 30
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x + 30 = 70
x = 70 - 30
x = 40
Therefore, the delivery truck travelled 40 km on the highway and 30 km on the city roads.
