Perimeter of a rectangle = 2(l + w)
l = length.
w = width
In this problem,
Perimeter = 40
w = 6
l = ?
Plug our numbers in.
40 = 2(l + 6).
Divide each side by 2.
20 = l + 6.
Subtract 6 from both sides.
14 = l
The length is 14 inches
Answer:
pastel de manzana: 32
pastel de calabaza: 48
Step-by-step explanation:
pastel de manzana: x
pastel de calabaza: 80 -x
7 x + 6 (80 - x) = 512
7x + 480 - 6x = 512
pastel de manzana: x = 512 - 480 = 32
pastel de calabaza: 80 - 32 = 48
cheque: 7 x 32 + 6 x 48 = 512
Answer:
Step-by-step explanation:
Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.
Answer:
<em>3 seconds</em>
Step-by-step explanation:
Complete question:
<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>
<em></em>
Given the height of an object modelled by the expression;
<em>h(t)=144-16t²</em>
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>
SinФ=-12/13
cosФ=Base/hypotenus
(hy)^2-(perpendicular)^2=(base)^2=13^2-12^2=5
cosФ=-5/13
