Answer:
169 m
Step-by-step explanation:
See the image below.
Line AB represents the monument and line BC its shadow
Line DB represents the man and Line BE it shadow.
The Sun’s rays are parallel, so AC||DE.
Then ∆ABC ~ ∆DBE
AB:BC::DB:BE
x/65.8 = 1.8/0.7 Multiply both sides by 65.8
x = 65.6 × 1.8/0.7
x = 65.6 × 2.571
x = 169 m
The height of the Washington monument is 169 m.
For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.
put g(x) in place of x in the function f(x). Then we have
f [g(x)] = 10(x + 9) + 8
f [g(x)] = 10x + 90 + 8
f [g(x)] = 10x + 98
Put x = 10, then we have
f [g(10)] = 10(10) + 98
f [g(10)] = 100 + 98
f [g(10)] = 198
Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.
More about the function link is given below.
brainly.com/question/5245372
5 - 10 x = 3
10 x = 5 - 3
10 x = 2
x = 10 : 5
x = 0.2
The rate is : 0.2 gallons / minute
5 - t * 0.2 = 0
t * 0.2 = 5
t = 5 : 0.2
t = 25 min
Answer: After 25 minutes the container will be empty.
72 because right number on the top of the bar is six, and 12•6=72
The answer is D because if you get the same answers from each shape that is congruent
