Answer:
694 ft²
Step-by-step explanation:
Calculate the area of all 6 walls, noting that the front and back faces are congruent as are the 2 side faces and top/bottom faces
area = 2(13 × 8.5) + 2(11 × 8.5) + 2(13 × 11)
= 221 + 187 + 286 = 694 ft²
Option C: 90° is the value of x.
Explanation:
The given expression is
for 
We need to solve the expression.
Thus, we have,

Subtracting both sides by 4, we have,

Adding both sides by 8 sin x, we get,

Dividing both sides by 10, we have,

Taking
on both sides of the equation, we get,


Thus, the value of x is 90°
Hence, Option C is the correct answer.
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 =
--------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = 
b =
= 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
Answer:
24 and 66degrees
Step-by-step explanation:
Given the equation
cos(8x+18)=sin(−2x+36)
In trigonometry identity, cos theta = sin (90- theta)
The given expression becomes;
sin (90 - (8x+18)) = sin(−2x+36)
sin will cancel out to have;
90 - (8x+18) = (−2x+36)
90-8x-18 = -2x+36
-8x +72 = -2x+36
-8x + 2x = 36 - 72
-6x = -36
x = 36/6
x = 6
Hence the value of x is 6
cos(8x+18) = cos(8(6)+18)
= cos 66
Also
sin(−2x+36)
= sin(−2(6)+36)
= sin(−12+36)
= sin 24
Hence both angles are 24 and 66degrees