The angle the radius makes with AB is a right angle, so the Pythagorean theorem applies.
r² = 17.4² - 7² = 253.76
r = √253.76 ≈ 15.9
The length of radius r is about 15.9.
<h3>Answer:</h3>
a) l = 5 + 2w
b) P = 2(l +w) = 2(5 +2w +w)
c) w = 8 cm, l = 21 cm
<h3>Explanation:</h3>
a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:
... l = 5 + 2w
b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.
... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)
c) Substituting the given perimeter, we have ...
... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses
... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10
... 8 = w . . . . . . . . divide by 6
... l = 5 + 2·8 = 21 . . . . . find length using the formula for it
Dimensions are in centimeters, so we can write the solution as ...
- width = 8 cm
- length = 21 cm
Answer:
y=6-3x
Step-by-step explanation:
factor out common terms 2(3x+y)=12divide both sides by 2
3x+y=
simplify 3x+y=6 subtract 3 from both sides
y=6-3x
Well CD and CB are both equal to each other because they’re the same angles , it’s a reflection
Answer:
Step-by-step explanation:
AThe shortest column of the line plot
BThe shortest bar of the bar graph
CThe column farthest to the left on the line plot
DThe average bar height of the bar graph