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alekssr [168]
3 years ago
5

△ABC is a 30-60-90 triangle where m∠B=90° . The length of the shorter leg is 11 units.

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0
Start with where the shorter leg is. It must be opposite the smallest angle.

In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it. 

That being said, if the shortest side is x, the hypotenuse will be 2x.

Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22

22 <<<<<< answer.

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The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
dimaraw [331]

Answer:

v(0) = 32,000 . . . dollars

v(13) = 16,427 . . . dollars

Step-by-step explanation:

The initial value is the value of the function for t=0. Put that into the formula and evaluate.

v(0) = 32,000(0.95^0) = 32,000 . . . . dollars

__

The value after 13 years is the function value for t=13. Put that into the formula and evaluate.

v(13) = 32,000(0.95^13) ≈ 32,000·0.513342 ≈ 16,427 . . . . dollars

5 0
3 years ago
I'm so confused,can someone please explain how to do this,I've watched countless things and can't seem to catch on. Thanks!(:
avanturin [10]

Answer:

40cm

Step-by-step explanation:

5 0
3 years ago
Which of the following is a solution to this inequality? y&gt;1/2x+2
Travka [436]

I need help with this asw

5 0
3 years ago
Consider the function and its inverse.
Ber [7]

Answer:

The domain of f(x) is restricted to x\leq 0, and the domain of f^{-1}(x) is restricted to x\geq 4.

Step-by-step explanation:

From Function Theory we know that domain of a function is the set of values such that an image exist. Let f(x) = x^{2}+4 and f^{-1}(x) = \sqrt{x-4} the function and its inverse, respectively.

At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.

But domain of its inverse is restricted to every value of x so that x-4 \geq 0, which means that x\geq 4.

Finally, we concluded that following answer offers the best approximation to our result:

The domain of f(x) is restricted to x\leq 0, and the domain of f^{-1}(x) is restricted to x\geq 4.

6 0
3 years ago
Your brother has $2000 saved for vacation his airplane ticket is $637 Write and solve an inequality to find out how much he can
goldfiish [28.3K]
An inequality for the poroblem is 2000 - 637 and to turn that into algebraic expression it would be 2000 - 637 = 1363
7 0
3 years ago
Read 2 more answers
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