the surface area of the prism is 
.
<u>Step-by-step explanation:</u>
Here we have , A right rectangular prism has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters. We need to find What is the surface area of the prism . Let's find out:
We know that surface area of the prism = 
. According to question we have following parameters as :
Putting these values to find area of prism we get:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the surface area of the prism is .
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
Um for what test?
Step-by-step explanation:
1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
Answer:
Step-by-step explanation:
<u>Plug in x = -4 and find the value:</u>
- f(-4) = 3*(-4)² - 7(-4) - 32
- f(-4) = 48 + 28 - 32
- f(-4) = 44
