For this problem, we are going to use the <em>law of sines</em>, which states:
In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, 
. Then, we can find the third side. Using the law of sines, we can find:
We can use this to solve for :
Now, we can find 
:
Using this, we can find 
:
c is approximately 17.5.
Answer:
1) 22.5 A
2) 112 B
3) 430 L
4) 576 P
5) 486 L
6) 624 S
Code is A B L P L S
Step-by-step explanation:
1) Area of a triangle = 1/2 * base * height = 1/2 *5*9 = 22.5
2) Area of a parallelogram = base x height = 14 x 8 = 112
3) Area of a rectangular prism = 2(length * width) + 2*(length + height) + 2 *(length *height)
= 2(15x7 + 15*5 + 7*5)
= 2(105 + 75 + 35)
= 2 * 215
= 430
4) Volume of a triangular prism = 1/2 * base * length * height
= 1/2 * 8 * 16 * 9
= 576
5) A cube has six surfaces. Each surface has an area of s x s where s is the length of each side. In this case, each side has area of 9x9 = 81. Total surface area = 6 x 81 = 486 and that is the paper required
6) The trailer is a rectangular prism so its volume = length x width x height = 13 6 x 8 = 624
Now you have to look at each value and see which letter it corresponds to. For example answer 1) is 22.5 which lies between 0-100 so it gets letter A, answer (2) is 112 which lies in the range 101-200 so it gets the letter B and so on
Answer:
a.p→¬q
b.¬p→¬q
c.q→¬p
Step-by-step explanation:
p:You drive over 65 miles per hour
¬p: <em>You do not drive over 65 miles per hour</em>
q:You get a speeding ticket
¬q:<em>You do not get a speeding ticket</em>
(a) You drive over 65 miles per hour, but <em>you do not get a speeding ticket</em>
the first sentence is p and because the consequence is the opposite of q then is no q
p→¬q
(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket
The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q
¬p→¬q
(c) You get a speeding ticket, but you did not drive over 65 miles per hour.
The first one is q, and the second one is the opposite of p so
q→¬p
Answer:
y = 28°
Step-by-step explanation:
The triangle is a right triangle which has 90 degrees.
The 3x falls under 90 degrees.
So:
→ 2y + 90° + 34° = 180°
→ 2y = 180° - 124°
→ 2y = 56°
→ y = 28°
