I think the answer to this is 18.
Step-by-step explanation:
in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C.
the side opposite of B is CA.
so, we have
220² = 100² + 160² - 2×100×160×cos(B)
48,400 = 10,000 + 25,600 - 32,000×cos(B)
12,800 = -32,000×cos(B)
cos(B) = -12,800/32,000 = -0.4
B = 113.5781785...° ≈ 114°
Answer:
Zero
Step-by-step explanation:
Simplifying
12x + 1 = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(1 + 4x) + -2
1 + 12x = (1 * 3 + 4x * 3) + -2
1 + 12x = (3 + 12x) + -2
Reorder the terms:
1 + 12x = 3 + -2 + 12x
Combine like terms: 3 + -2 = 1
1 + 12x = 1 + 12x
Add '-1' to each side of the equation.
1 + -1 + 12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
0 + 12x = 1 + -1 + 12x
12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
12x = 0 + 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer
Length measured using Ruler A= 1.17 dm
Length measured using Ruler B=1.18 dm
Step by Step Explanation:
I have added the missing photograph which shows the length of pencil being measured with two rulers.
Ruler A has marking separated by 1 dm
Ruler B has marking separated by 0.1 dm
Length measured using Ruler A= 1.17 dm
(As we can see I have added the middle markers, we can see the tip of pencil is somewhere between 1 and 1.25, it is more than 1.125 but lesser than 1.25, it is somewhere around 1.2 and 1.125 dm, approximately equal to one half of 1.25 which is 1.125 with addition of one of the three halves of half of 1.125 which is 1.125+0.045 dm hence 1.17dm)
Length measured using Ruler B=1.18 dm
(we can see the tip of pencil is just before 1.2 dm, it is clear that the value is precisely 1.18 and not 1.19 dm)
<u><em>Tip:Always measure one more decimal than given by the ruler when unsure about the exact value</em></u>
Answer:
c
Step-by-step explanation: