Answer:
1240.4 mm²
Step-by-step explanation:
SA of Pentagonal pyramid:
(as)(5/2) + (sl)(5/2)
↑ ↑
base area lateral area
_____________________
a: apothem (in-radius) length, s: side length.
l: slant height.
______________________
Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²
Answer:
y > x + 1 ; y ≤ 10 ; x ≥ 0
Step-by-step explanation:
First, we need to get the equation of the straight line. The equation of the straight line is expressed as y = mx+c
m is the slope
c is the y-intercept
Using the coordinate points (0, 1) and (1,2)
m = (2-1)/(1-0)
m = 1/1 = 1
y-intercept c = 1 (the point where the line cuts the y-axis)
Substitute;
Since y = mx+c, then y = 1x + 1
y = x+1
Since the line is a broken line and shaded above, then y > x+1
Also, the point shaded on the graph indicates y ≤ 10 ; x ≥ 0
Answer:
X11 = 300
Step-by-step explanation:
X11 = 10 × 3(11 - 1)
X11 = 10 × 3(10)
X11 = 10 × 30
X11 = 300
Question 1:
Here's an interesting property of trapezoids:
Since this is a trapezoid, we know the following:
a+36 = 180
b+113 = 180
We only want to solve for a
a + 36 = 180
Subtract both sides by 36
a = 144
Your answer is the second choice.
Question 2:
Since LM is the midsegment, the length of LM is the average of the length of AB and DC.
(AB + DC) / 2 = LM
(46 + 125) / 2
= 171 / 2
= 85.5
The last choice is your answer.
Have an awesome day! :)
From the order you gave me in the question the answer is equation number
4 1 3 2 6 5
Those are the equation numbers in ascending order based on their radius lengths
