(03.01 LC) What is the length of leg y of the right triangle? (1 point)

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

Step-by-step explanation:

The complete question is

What is the length of leg y of the right triangle?

A right triangle with hypotenuse 26 and legs 24 and y

We need to use the Pythagorean Theorem, where $h=26$ and $x=24$ ,

$h^{2} =x^{2} +y^{2}\\ 26^{2}=24^{2}+y^{2}\\y=\sqrt{26^{2}-24^{2}}\\ y=\sqrt{676-576}\\ y=\sqrt{100}\\ y=10$

Therefore, the right answer is A. The length of the missing leg is 10 units.

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.

Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

$x -0,3*x = x -24$

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

$x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x$

$24=x-0,7*x \rightarrow 24 = x*(1-0,7)$

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

And we find ourselves on the same conclusion.

Have a wonderful day :D

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3 years ago

How do you connect the ideas of congruency and rigid motion?

natta225 [31]

<span>Rigid motion does not change the shape of an object. if you move an object to another place, you can think of it as a new object (a copy) at the new position and it will be congruent to the object at the original position. or, if two objects are congruent, you can move one object so it lies on top of the other, showing they are congruent.</span>

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2 years ago

Read 2 more answers

Identify the domain and range of the inverse of f(x) = 0.5^x.

LekaFEV [45]

Answer:

Domain (0, ∞) and Range (-∞, ∞).

Step-by-step explanation:

The domain of f(x) = 0.5^x is all values of x and the range is f(x)>0 as 0.5^x cannot be negative or zero.

In interval form this is Domain is (-∞, ∞) and Range is (0, ∞).

So its inverse has Domain (0, ∞) and Range (-∞, ∞).

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