Check the picture below.
since, we know that for the circle, the perimeter is s+s+s+s or 4s, then 4s = x and so on.
now, for the circle, the perimeter is just the circumference, circumference of a circle is 2πr, thus 2πr = 5-x and so on.
anyway... so... the equation of the area made by those two in x-terms, is just their sum... so let's do that then
now, you can expand the squared binomial on the numerator, but there will not be any like-terms to simplify, so, it won't make much difference, so.... you can expand it or not.
Answer: The height of the taller building is 320 meters
Step-by-step explanation: Please refer to the attached picture for details.
The two buildings have been illustrated in the picture attached as points A and E. The distance between them is line BE which is 24.5 m.
The height of the shorter building which is ED and also equal to BC is given as 40 m.
Looking up at the top of the taller building which is point A an observer forms an angle of elevation of 85 degrees which is angle AEB.
We shall begin by solving for distance AB in triangle ABE. The line AB also marked as e is the opposite, while the line BE which is 24.5 is the adjacent. Hence;
Tan 85 = Opposite/Adjacent
Tan 85 = e/24.5
Tan 85 * 24.5 = e
11.43 x 24.5 = e
280.035 = e
e ≈ 280
Our result shows that from the top of building E, building A measures approximately 280 metres. Having in mind that the taller building (line AC) includes the height (line BC) of the shorter building, building A now becomes,
AC = Line BC + Line AB (that is e)
AC = 40 + 280
C = 320 meters
Therefore the height of the taller building is 320 meters
0.04, or 4 hundredths is 10 percent of 0.40
10 times 0.04 gives you 0.40
Answer:
Question 3: 20/2 or 10
Question 4: 504/48 or 10 1/2
Step-by-step explanation:
Question 3: first, turn 2 1/2 into an improper fraction (5/2). Next, divide 5/2 by 1/4, or multiply 5/2 by 4/1. Simplify
Question 4: First make the denominators the same number. 7/8= 21/24 1/12= 2/24 next divide 21/24 by 2/24, or multiply 21/24 by 24/2. This gives yiu 504/48. Simplify
Hope this helped!
Answer:
(a) Step 2. 9x -12 = 13 +2x
Step-by-step explanation:
The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.
In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.
Correct Step 2: 9x -12 = 13 +2x
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The rest of the solution should be ...
Step 3: 9x -2x = 13 +12
Step 4: 7x = 25
Step 5: x = 25/7
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<em>Check</em>
3(3(25/7) -4) = 8 + 2(25/7) +5
3((75 -28)/7) = 13 +50/7
141/7 = 141/7 . . . . . answer checks OK
