Answer:
the answer is 11
Step-by-step explanation:
dont know
This question is incomplete.
Complete Question
A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*
Answer:
42°
Step-by-step explanation:
From the question, the diagram that is formed is a right angle triangle.
To solve for this, we would be using the trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse
From the question, we are told that:
12 foot ladder is leaning against a wall = Hypotenuse
The ladder reaches 8ft high on the wall = Opposite side.
Hence,
sin θ = 8ft/12ft
θ = arc sin (8ft/12ft)
= 41.810314896
Approximately to the nearest degree
θ = 42°
Therefore, the angle the ladder forms with the ground to the nearest degree is 42°
The answer would be 4,069.40
7/9 = 42/54...when 42/54 reduces, it becomes 7/9...so this is proportional because proportions are nothing but equivalent fractions.
u could also check it this way...
12/21 = 15/24
cross multiply
(21)(15) = (12)(24)
315 = 288.....these do not equal and are therefore, not proportionate
440/4 = 300/3
110 = 100....not equal, so not proportionate
120/5 = 88/4
24 = 22.....not proportionate
66/82 = 99/123
0.804 = 0.804.......these are proportional
68/172 = 43/123
0.395 = 0.349......nope, not proportional
Answer:
B) 
Step-by-step explanation:
- To start things off, lets convert any <em>mixed numbers</em> like
into <em>improper fractions</em>. In this case as an improper fraction is 
.
- Now let's multiply
by . When multiplying fractions, all you need to do is multiply the numerators and denominators separately. Your final answer should be 
. - *Note: a <em>negative </em>times a <em>negative </em>is a <em>positive</em>, so that's why we now have an even number in front of
instead of a negative number.
- Now we want to isolate , so we'll have to divide
by 
, but dividing these two fractions seems like a pain. To make things a bit easier, let's turn our improper fraction into a whole number. To change this improper fraction into a whole number, we should ask ourselves what times 
is equal to 
? In this case, the answer is 3, so is actually the same thing as the whole number 
. - *Note: In general, keeping fractions as either improper fractions or whole numbers will make doing math easier. Avoid mixed numbers like when trying to do math and simply change improper fractions into mixed numbers once you have your final solution.
- Now divide by . Think of it as multiplying the denominator of by .
