Enter a number. Angle 2 is equal to angle

suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh

sveta [45]

If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the legs of a right triangle and its hypotenuse, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we do know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of increasing the angle between a and b. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be obtuse, which is to say: yes, there's an angle in it larger than 90°.

3 0

3 years ago

Unit 6 lesson 9: linear functions sample work

loris [4]

Answer:

Initially, you have 2573 pieces.

You use 5 pieces each minute.

Right when you start, you have 2573 pieces.

One minute after that, you have 2573 - 5 pieces.

Another minute after, you have 2573 - 2*5 pieces.

Another minute after, you have 2573 - 3*5 pieces.

And so on.

You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.

Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:

f(t) = 2573 - 5*t

That represents the number of pieces that you have after t minutes.

4 0

3 years ago

Sally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of four di

galben [10]

Answer:

She can visit the cities in 192 ways

Step-by-step explanation:

If Sally starts from city A and after going to 4 cities she returns to home,

then that can be in 4! = 24 ways. (permutation of 4 distinct objects)

If between the time she visits cities, she comes home once,

then cities can be visited in,

$4! \times 3_{C_{1}}$ = 72 ways. (permutation of 4 distinct objects and choosing 1 gap among the 3 )

If between the time she visits cities, she comes home twice,

then cities can be visited in,

$4! \times 3_{C_{2}}$ =72 ways. (permutation of 4 distinct objects and finding 2 gaps among the 3)

If between the time she visits cities, she comes home thrice,

then cities can be visited in,

$4! \times 3_{C_{3}}$ = 24 ways. (permutation of 4 distinct objects and choosing 3 gaps among the 3)

Now, she can't come home more than thrice in between the time she visits cities (since there are 4 cities to visit only)

So, the number of ways she can visit cities = (24+ 72 + 72 + 24)

= 192

6 0

3 years ago

You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Final

coldgirl [10]

Sooo.. your balance is -12 $$$$$

5 0

3 years ago

Read 2 more answers

Can someone help me !!

svetoff [14.1K]

Answer:

x = 15

Step-by-step explanation:

Create the proportion: 5/7 = x/21

Multiply both sides by 21: 15 = x

3 0

3 years ago