Answer:
B. A = 119.1 in.²
Step-by-step explanation:
A = area of trapezoid - area of circle
A = ½(b1 + b2)h - πr²
A = [½(27 + 12)(14) - 3.14159(7²)] in.²
A = 119.1 in.²
The solution is x = 7 and y= 3
<em><u>Solution:</u></em>
Given pairs of equation are:
x = 1 + 2y ------- eqn 1
2x + y = 17 ------- eqn 2
We have to use algebraic method
Algebraic method involves substitution and elimination method
Let us use the substitution method
From equation 1, we can see that x is equal to 1 + 2y. If we substitute this for y in equation 2, we have:
2(1 + 2y) + y = 17
Solve for brackets
2 + 4y + y = 17
Combine the like terms which has same variable
2 + 5y = 17
5y = 17 - 2
5y = 15
Divide both sides of equation by 5
y = 3
So the value of y is 3. This value of y can be substituted into either equation 1 or 2 to find the value of x
Substitute y = 3 in eqn 1
x = 1 + 2(3)
x = 1 + 6
x = 7
So the solution is x = 7 and y = 3
Answer:

Step-by-step explanation:
Para resolver este problea podemos comenzar con las identidades pares e impares, las cuales nos dicen que:
sen(-u)=-sen(u)
por lo que podemos reescribir nuestro problema como:
sen(-45°)=-sen(45°)
Luego podemos tomar los triángulos comunes (ver imagen adjunta).
y calcular la razón de seno en donde:

para obtener:

ahora podemos racionalizar la fracción para obtener:


Answer:
v=206ft/s , a=120ft/s
Step-by-step explanation:
We are given the equation of displacement
upon differentiating the given equation
ds/dt = 
upon substituting t = 3
v = 206ft/s
a= dv/dt
upon differentiating
dv/dt = 36t + 12
put t= 3
a=120ft/s
-3x(-7) = -3(-2)(-7) ⇒ -42
-42 would be the answer.