Answer:
The answer to your question is the height of the lamp is 18.2 ft
Step-by-step explanation:
Data
Street lamp shadow = 31.5 ft
Street sign height = 8 ft
Street sign shadow = 14 ft
Street lamp height = x
Process
1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.
Street lamp height/street lamp shadow = street sign height/street sign
shadow
Substitution
x / 31.5 = 8 / 14
Solve for x
x = (31.5)(8) / 14
Simplification
x = 254.4 / 14
Result
x = 18.2 ft
Answer:
- 4
- 25
Step-by-step explanation:
A calculator is your friend for such problems.
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Evaluating these by hand, the <em>Order of Operations</em> applies. First you do what's in parentheses, then you do multiplication, then addition/subtraction.
1. (3/4)·(12·4 -16) -20 = (3/4)(48 -16) -20 = (3/4)·32 -20 = 24 -20 = 4
2. (5/9)·(12·6 -42 +15) = (5/9)·(72 -42 +15) = (5/9)·(30 +15) = (5/9)·45 = 25
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Of course, the <em>Order of Operations</em> applies within each level of parentheses.
Adding the opposite of a number is the same as subtraction. Likewise, subtracting the opposite of a number is the same as adding the number. The usual associative and commutative properties of addition and multiplication apply. Among other things, that means you can compute the product of an integer and a fraction in any convenient way:
(3/4)·32 = 3·(32/4) = 3·8 = 24
(5/9)·45 = 5·(45/9) = 5·5 = 25
Answer:
option A
Step-by-step explanation:
given,
sample of tritium, ³H
contents present of ³H = 5.25 mol
content of ³He = 6.35 mol
reaction
A₀ is the initial concentration
At is the concentration after time t
A₀ = 5.25 + 6.35 = 11.6 mol
At = 5.25
now,
k = 0.0563 /year
t = 14.1 yr
hence, the correct answer is option A
Answer:
10063571 out of 593750689 or 1.69491525424%
Step-by-step explanation:
To find probability when all variables are known, you can just multiply the numbers you need. In this case we multiply 59 * 59 * 59 *49 since these are the balls we are picking from. We can find the chance of the top prize by multiplying all the numbers. 59 * 59 * 59 * 59 * 49
The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.
The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:
A = s²
36 sq. units = s²
√(36 sq. units) = √s²
6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)
Therefore, ...
P = 4s
P = 4(6 units)
P = 24 units is the perimeter of a square whose area is 36 square units
