Answer:
A real number that is not rational is called irrational. Irrational numbers include √2, π, e, and φ. The decimal expansion of an irrational number continues without repeating. Since the set of rational numbers is countable, and the set of real numbers is uncountable, almost all real numbers are irrational.
Step-by-step explanation:
Answer:
The equation of the line is 7 x +5 y = 15.
Step-by-step explanation:
Here the given points are ( 5, -4) & ( -10, 17) -
Equation of a line whose points are given such that
(
) & (
)-
y -
=
( x -
)
i.e. <em>y - (-4)=
( x- 5)</em>
<em> y + 4 =
( x - 5)</em>
<em> y + 4 =
( x - 5 )</em>
<em> ( y + 4) =
( x - 5)</em>
<em> 5 (y + 4 ) = - 7 (x - 5 )</em>
<em> 5 y + 20 = -7 x + 35</em>
<em> 7 x + 5 y = 15</em>
Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17) is 7 x + 5 y = 15.
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
Answer:
74
Step-by-step explanation:
4(2) raise to power 4 - 2(7) raise to power 2 +40
4(16) - 2(49) +40
64-98+40
64- 138
74
The answer would be 2048/9555 using simplified fraction