Answer:
The correct answer is first option
X = 34.61
Step-by-step explanation:
<u>Points to remember</u>
<u>Trigonometric ratios</u>
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we can see that a right angled triangle with base x and hypotenuse = 81.9.
One angle = 65°
To find the value of x
We have Cos θ = Adjacent side/Hypotenuse
Cos 65 = X/81.9
X = 81.9 * Cos 65
= 81.9 * 0.4226
= 34.61
Therefore X = 34.61
The correct answer is first option
Answer:
between 8 and 9
Step-by-step explanation:
The square of 8 is 64, which is less than 78.
The square of 9 is 81, which is more than 78.
The square root of 78 will lie between 8 and 9 on the number line.
_____
√78 is near 8.832
Answer:
45
Step-by-step explanation:
we know the number is two digits.
we know that the sum of the digits is 9
therefore, the only possible numebrs are:
18, 81
27, 72
36, 63
45, 54
we also know that the inverse of the digits is the original number plus nine
therefore, 18 and 81 are out
27 and 72 are out
36 and 63 are out
the only numbers left are 45 and 54.
since 45+9=54, the number is 45.
The common difference if there is one is the constant difference that occurs between any term and the term before it.... in this case:
There is no common difference,
dx=18,20,16,18 the difference or velocity is not constant...
d2x=2, -4,2 the acceleration is not constant...
d3x=-6,6 the thrust is not constant
Now we might be tempted to say that:
d4x=12 and say that that is constant and we COULD make a quartic equation fit all the data points, but without further data points in the sequence there is no mathematical proof that the quartic equation would produce accurate data points outside of the range given...
And solving a system of five equations for five unknowns is tedious for such a problem...a^4+bx^3+cx^2+dx+e=y