Answer:
The relationships are correct and valid
Step-by-step explanation:
The correct question is as follows;
Verify the following
i.[ -3/4]^3 = -27/64
ii. [-2/3]^6 = 64/ 729
We have the solution as follows;
i) we have;
(-3/4)^3
That means ;
-3^3 = -3^3 = -27
4^3 = 64
so;
(-3/4)^3 = -27/64
ii) (-2/3)^6
(-2)^6 = 64
3^6 = 729
Thus;
(-2/3)^6 = 64/729
Answer:19,20,21 and 22
Step-by-step explanation: if this is for a test your welcome bud.
Answer:
551.8 feet
Step-by-step explanation:
We are given
Adjacent = 1300 feet
Opposite = x
Angle = 23°
We solve using the trigonometric function Tangent
tan θ = Opposite/Adjacent
tan 23 = x/1300 feet
Cross Multiply
x = tan 23 × 1300 feet
x = 551.81726107 feet
Approximately = 551.8 feet
The Length of the building = 551.8 feet
Yes seth your answers are all corret i seen them i did that paper too
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
