Answer:
7.32 x 0.04 = 0.2928
Step-by-step explanation:
Dakota runs every 6 weeks......so he runs at 6 weeks, 12 weeks, 18 weeks, 24 weeks, 30 weeks
Madison runs every 15 weeks...so she runs at 15 weeks, 30 weeks, 45 weeks
so they will both be running a half-marathon at 30 weeks <==
Answer:
Option C. 12 by 15
Step-by-step explanation:
Let the length be L
Let the width be w
Area of rectangle = L x w
Perimeter of rectangular = 2 (L + w)
From the question given,
A = 180
P = 54
180 = L x w (1)
54 = 2(L + w) (2)
From equation (2),
54 = 2(L + w)
Divide both side by the 2
54/2 = L + w
27 = L + w
L = 27 — w (3)
Substituting the value of L into equation (1), we have:
180 = L x w
180 = w(27 — w)
180 = 27w — w^2
Rearrange the expression
w^2 — 27w + 180 = 0 (4)
Solving by factorization method:
Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.
Now, substitute these factors (—12w and —15w) into equation (4)
w^2 — 27w + 180 = 0
w^2 — 12w —15w + 180 = 0
w(w — 12) — 15(w — 12) =0
(w — 12) (w — 15) = 0
w = 12 or w = 15.
Substituting the value of w into equation (3)
L = 27 — w
When w = 12
L = 27 — 12 = 15
When w = 15
L = 27 — 15 = 12
Since the length is longer than the width, the length is 15 and the width is 12.
Therefore the dimensions is 12 x 15
Circumference = 2 x radius x pie (3.14)
<span>82.896 = 2 x 3.14 x r </span>
<span>82.896 = 6.28 x r </span>
<span>r = 82.896 / 6.28 </span>
<span>r = 13.2
hoepfully this answer helps you</span>
Answer:
y = -3x + 4
Step-by-step explanation:
slope-intercept form: y = mx + b
Note that: m = slope
y- intercept = b
m = slope = -3
y-intercept = b = 4
Plug in the corresponding number to the corresponding variables:
y = mx + b
y = -3x + 4 is your answer.
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