Answer:
13 + 4(2) - 5(13) + 3
<em>multiply the numbers</em>
13 + 8 - 65 + 3
<em>calculate the sum or difference </em>
= -41
Step-by-step explanation:
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
-2, 6
Step-by-step explanation:
(x - 6)(x + 2) = 0
x - 6 = 0 x+ 2 = 0
x = 6 x = -2
The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.
Answer:
2y + ( x- 20)= 500
y= 520-x/2
Step-by-step explanation:
Let the weight of George be x and the weight of the suspect be y .
The swing can hold a maximum of 500 pounds .
Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.
2y + ( x- 20)= 500
or
2y+x- 20 = 500
adding 20 to both sides
2y+x -20 +20= 500+ 20
or
2y +x = 520
Subtracting x from both sides
2y+ x-x = 520-x
or
2y = 520-x
Dividing by 2 on both sides
y= 520-x/2
The suspect's weight is y= 520-x/2
