Answer:
r=4
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(r+2)=4(2−2r)
Step 1: Simplify both sides of the equation.
−4(r+2)=4(2−2r)
(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)
−4r+−8=8+−8r
−4r−8=−8r+8
Step 2: Add 8r to both sides.
−4r−8+8r=−8r+8+8r
4r−8=8
Step 3: Add 8 to both sides.
4r−8+8=8+8
4r=16
Step 4: Divide both sides by 4.
4r
4
=
16
4
r=4
Answer:
r=4
Because it is square, the distance from home to first base is the same as first base to second base.
Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.
Using the Pythagorean Theorem we can solve for the hypotenuse:
Let C = the hypotenuse:
90^2 + 90^2 = c^2
8100 + 8100 = c^2
16200 = c^2
c = √16200
c = 127.279 feet, round to 127 feet.
Answer:
Part 1 : 
Part 2 :
w=6
l = 10
Step-by-step explanation:
Part 1:
Let the width of the rectangle = w
Length of the rectangle = w + 4
Area of the rectangle is given as
60 Sq Yrds
Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.
Part 2:
(w+10)(w-6)= 0
either (w+10) = 0
or
(w-6)=0
or both are zero
(w+10) = 0 ⇒ w = -10
not possible as the dimension can not be 0
(w-6)=0 ⇒ w=6
Hence the width is 6 yards
And thus the length will be 6+4 = 10 yards
Answer:
(a) 0.0001 or 0.01%
(b) 0.01 or 1%
Step-by-step explanation:
Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.
The probability that if you forget your PIN, then you can guess the correct sequence
(a) at random:
(b) when you recall the first two digits.
Write out the problem. ...Simplify the first fraction. ...Simplify the second fraction. ...Multiply the numerators of both fractions. ...Multiply the denominators of both fractions. ...Place the new numerator over the new denominator.
