Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Answer:
a) Discrete Variable
b) Continuous Variable
Step-by-step explanation:
We are given the following in the question:
Discrete and Continuous:
- Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
- Discrete variables are usually counted than measured.
- Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
- Continuous variables are usually measured than counted.
(a) The number of free dash throw attempts before the first shot is made.
Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.
(b) The distance a baseball travels in the air after being hit.
The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.
100 = x + x/2
3x/2 = 100
x = 200/3
if there was 50% discount:
buying 1 would be $33.33
buying 2 would be $66.67
The algebra tiles show two equal factors. They are (x + 4).
Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).
That is (x + 4)^2.
Then develop that perfect square to find the constant term.
(x + 4)^2 = x^2 + 8x + 16.
That means that the constant term needed to complete the trinomial is 16.
Answer: 16
Step-by-step explanation:
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