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malfutka [58]
3 years ago
5

Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Descri

be your solution
Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

A triangle with angles:

"45°, 45°, 90°"

Is a triangle rectangle, with two catheti of equal length.

Now, there is a lot of problems that you can solve with this:

"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"

Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)

And because the catheti are equal, then the angles are 45°, 45° and 90°.

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lesya [120]

A = 2(lw+hl+hw)

A = 366

4 0
3 years ago
Read 2 more answers
Any help?? I’ve tried this for a hour and couldn’t figure anything out
Effectus [21]

Answer:

3. PR=51

4. FE=28

Step-by-step explanation:

3. since the two triangles are similar, set up a proportion:

x+8/3x-9=24/28

*cross multiply*:

28(x+8)=24(3x-9)

28x+224=72x-216

44x=440

x=20

to find PR:

PR=3x-9

PR=3(20)-9

PR=51

4. same here:

39/4x+2=42/5x-2

39(5x-2)=42(4x+2)

195x-78=168x+84

27x=162

x=6

to find FE:

FE=5x-2

FE=5(6)-2

FE=28

6 0
2 years ago
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e
Anarel [89]

Answer:

the answer is 299 books

7 0
2 years ago
the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Pl
agasfer [191]

Answer:

y=50+12x y=100+9x

Step-by-step explanation:

3 0
3 years ago
The numbers 1, 2, 3, 4, 5, 6, 7, and 8 are arranged to form four two-digit numbers. What is the largest amount of primes that co
artcher [175]
<h3>Answer:  3 primes</h3>

==========================================================

Reason:

The only even prime number is 2. The other primes are odd.

The list of the first few primes are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43

A prime is any number that has factors of 1 and itself, and nothing else.

For instance, 13 is prime because 1 and 13 are the only factors.

-----------

As you can see, if we want a two digit prime number, then the units digit must be odd. Otherwise, 2 is a factor making it not prime (aka composite).

So far we see that the units digit is 1, 3, 5, 7, or 9. But wait, if 5 is the units digit then 5 is a factor. Eg: 5 is a factor of 35 since 5*7 = 35. Refer to the divisibility by 5 rule.

So we reduce the list of choices to 1, 3, 7, 9 for the units digit.

Unfortunately 9 is not in the list of original numbers given, so we can't use it. We really have 1, 3, or 7 as our choices to form the units digit of the two-digit number.

-----------

Let's try to build some primes.

Pick the smallest odd number 1 as the units digit. Then pick 2 as the tens digit. The number 21 is composite because 21 = 7*3, so we rule it out.

On the other hand, 31 is prime since only 1 and 31 are factors.

The problem is that now "3" is tied up and cannot be used for another prime. The good news is that 41 is prime and that's what I'll go with.

Cross 1 and 4 off the list.

The next odd number is 3 which is our units digit. The value 23 is prime.

So far we have 41 and 23 as our two primes.

Like mentioned earlier, we cannot use 5 as the units digit. The number 57 is not prime because 57 = 19*3. So we'll skip over 5.

The number 67 is prime for similar reasoning mentioned earlier.

------------

We have these primes: 41, 23, 67

The next number either 58 or 85 isn't prime

This is one way to show an example of why we're only able to get 3 primes out of this.

4 0
2 years ago
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