Remember: Please Excuse My Dear Aunt Sally (PEMDAS)
In solving algebraic expressions, there is an order in which to solve it.
<span>1) perform the operation inside the </span>parenthesis<span> first </span>
<span>2) then perform the operation with the </span>exponents
<span>3) apply </span>multiplication<span> and </span>division<span> from left to right of the equation.</span>
<span>4) apply </span>addition<span> and </span>subtraction<span> from left to right of the equation.</span>
Answer:
the numbers are 85 and -31.
Step-by-step explanation:
first, let the numbers be x and y.
so by question we have,
x+y=54.......(I)
x-y=116......(I I)
now, solve it through elimination method,
x+y=54
x-y=116
here, y and y cancelled out and we get,
or, x+x=54+116
or, 2x=170
or, x=170/2
therefore, x=85
now put value of x in any equation. let's put in eqn (I), we get,
or, x+y=54
or,85+y=54
or, y=54-85
so, y= -31
therefore, the numbers are 85 and - 31.
1) x=
square root ({15}^{2} - {9}^{2} )
all the others are the same method, just remember
the horizontal line^2 + the vertical line ^2 is equals to the line opposite the right angle^2
If two angles are supplementary, then they add up to 180.
Angle 1 = twenty less than four times the other angle
Angle 2 = the other angle
Angle 2 = 1x
Angle 1 = 4x - 20
Next, we can add up angles 1 and 2 and set the sum equal to 180.
x + 4x - 20 = 180
5x - 20 = 180
5x = 200
x = 40
Now that we know x, we can find the values of our angles.
Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees
Angle 2 = 40 degrees
Hope this helps!! :)
1. 864 mm^3
2.1640 cm^3
3. 4.0 cm
4. 150pi ft^3
