For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a
BC is the short leg of ∆ABC
Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3
For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3
CD = a = √3
AD = a√3 = 3
For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1
DB = a = 1
1.50d is the right answer since we don't know how many drinks there are
Answer:
33 in
Step-by-step explanation:
The Pythagorean theorem tells you ...
diagonal² = length² +width²
diagonal² = (16 in)² +(28.5 in)² = 1068.25 in²
diagonal = √(1068.25 in²) ≈ 32.684 in
The diagonal of the television is about 33 inches.
In the given question, it is given that ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is:
tanB=8/15
And that's the required missing ratio for tan B.
Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9)
.
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- For the subtraction function, we simply subtract both functions, thus:
- It is positive if f is greater than g, that is: f(x) > g(x).
- It is a linear function, so one function is greater before the equality, one after.
- They are equal at x = 9.
- If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:
(–∞, 9)
A similar problem is given at brainly.com/question/24610273
