Answer: Length of his shadow is 18 feet.
Step-by-step explanation:
Since we have given that
Length of tall monument = 64 foot
Length of shadow = 16 feet
Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches
So, we need to find the length of its shadow.
So, according to question, we get that
Hence, length of his shadow is 18 feet.
Answer:
Variable- it doesnt really matter. Im just going to use X.
Equation- $16.35 + x = $39.75.
The solution is $23.40
Step-by-step explanation: Basically you reverse the equation so it says $39.75 - $16.35 = x . Then you just subtract.
The origin is at the point (0,0). Therefore, the y-intercept will be 0. For two points to be perpendicular, the slopes must be opposite reciprocals of each other. .5 can be seen as 1/2, so the reciprocal is 2, and it is positive, making that 2 negative. Your equation would be y = -2x.
Answer:
Step-by-step explanation:
A system of linear equations is one which may be written in the form
a11x1 + a12x2 + · · · + a1nxn = b1 (1)
a21x1 + a22x2 + · · · + a2nxn = b2 (2)
.
am1x1 + am2x2 + · · · + amnxn = bm (m)
Here, all of the coefficients aij and all of the right hand sides bi are assumed to be known constants. All of the
xi
’s are assumed to be unknowns, that we are to solve for. Note that every left hand side is a sum of terms of
the form constant × x
Solving Linear Systems of Equations
We now introduce, by way of several examples, the systematic procedure for solving systems of linear
equations.
Here is a system of three equations in three unknowns.
x1+ x2 + x3 = 4 (1)
x1+ 2x2 + 3x3 = 9 (2)
2x1+ 3x2 + x3 = 7 (3)
We can reduce the system down to two equations in two unknowns by using the first equation to solve for x1
in terms of x2 and x3
x1 = 4 − x2 − x3 (1’)
1
and substituting this solution into the remaining two equations
(2) (4 − x2 − x3) + 2x2+3x3 = 9 =⇒ x2+2x3 = 5
(3) 2(4 − x2 − x3) + 3x2+ x3 = 7 =⇒ x2− x3 = −1
Step-by-step explanation:
I think what is meant in the triangle ABC we have the three angles.
the sum of all angles in a triangle is airways 180 degrees.
so,
180 = A + B + C
180 = 42 + B + C
now, we know also that
B = 5×C
so, we can use that above
180 = 42 + 5×C + C
138 = 6×C
C = 138/6 = 23 degrees
B = 5×C = 5×23 = 115 degrees
