Step-by-step explanation:
<h2>We first find the area of a trapezium and rectangular face</h2><h2>Fourmula to find the are of a trapezium is:</h2><h3>Area=1/2*(B+b)*h</h3><h3> =1/2*3.7*1.9</h3><h3> =3.515m²</h3><h2 /><h2>Since every rectangular face is different we gotta find each of them</h2>
<h3>Area1=4.8*2.1</h3><h3> =10.08 m²</h3><h3>Area2=4.8*1.4=6.72m²</h3><h3>Area3=4.8*2.3=11.05m²</h3><h3>Area4=4.8*1.9=9.12m²</h3>
<h3 /><h3>Now we find the area of the whole prism</h3><h3>Area=3.515*2+10.08+6.72+11.05+9.12</h3><h3>Area=44m²</h3>
<h2>Sorry my wireless went down!!!</h2><h2>Hope this helps and you already know what I would like to get</h2>
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions
Answer:
B) 5 + 17i is your answer.
Step-by-step explanation:
In order to write this equation as a complex number in standard form, you must first simplify each term.
<em>Apple the distributive property.</em>
21 - 4i - 1 * 16 - (7i) + 28i
<em>Multiply -1 by 16.</em>
21 - 4i -16 - (7i) + 28i
<em>Multiply 7 by -1.</em>
21 - 4i - 16 - 7i + 28i
<em>Now simplify by adding terms :)</em>
<em>Subtract 16 from 21.</em>
5 - 4i - 7i + 28i
<em>Subtract 7i from -4i.</em>
5 - 11i + 28i
<em>Add -11i and 28i.</em>
= 5 + 17i
Angle EGF = x
Sin x = 12/18.6
Sinx ≈ 0.6452
x ≈ Sin⁻¹(0.6452). Use a calculator.
x ≈ 40.18°
x ≈ 40.2°
Second option.
