The total area is:
A = Ab + Al
Where,
Ab: base area
Al: lateral area
We have then:
For the base area:
Ab = (2) * (2)
Ab = 4 units ^ 2
For the lateral area:
Al = (4) * (1/2) * (2) * (root ((1) ^ 2 + (3) ^ 2))
Al = (4) * (root (1 + 9))
Al = 4raiz (10) units ^ 2
Total area:
A = 4 + 4raiz (10)
Answer:
A = 4 + 4raiz (10)
1 1/4 + 1/2 + 3/4 =
5/4 + 1/2 + 3/4 =
5/4 + 2/4 + 3/4 =
10/4 = 2 1/2 (or 2.5) oz's <
100%=9.99
×%=6.75
9.99x=100×6.75
9.99X=675
X=675/9.99
67.567% or 67.57
you could also say:
6.75/9.99=0.67567
0.67567×100=67.57%
so the markup is 100%-67.57%=32.43%
32.43%off
<h3>
Answers:</h3>
angle FHG = 42 degrees
angle GHI = 100 degrees
=========================================================
Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
------------------
(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
------------------
Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
Answer: y=-4x+2
Why: Find slope— 2-14/0+3 = -12/3 = -4
First put it in slope point form
y-2=-4(x-0)
Simplify
y-2=-4x
So...
y=-4x+2
