Pls help i forgot how to do this :)

an airplane at t(80,20) needs to fly both u(20,60) and v(110,85). what is the shortest possible distance for the trip? explain:

jekas [21]

We need to find the distances : TU, TV and VU.
TU = √ ( x 2 - x 1)² + ( y 2 - y 1 )²
TU = √ ( 60² + 40² ) = √ (3600 + 1600 ) = √5200 = 72.111
TV = √ ( 30² + 65² ) = √ ( 900 + 4225 ) = √5125 = 71.589
VU = √ ( 90² + 25² ) = √ ( 8100 + 625 ) = √8725 = 93.408
The shortest trip : T → V → U.
The shortest distance:
TV + VU = 71.589 + 93.408 = 164.997

6 0

3 years ago

A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a

Colt1911 [192]

Answer: OPTION B.

Step-by-step explanation:

For this exercise you need to find the Greatest Common Factor (GCF).

The steps are:

1. Descompose the given numbers into their prime factors.

2. Choose the common ones and multiply them.

Then, knowing that the florist has 72 red roses and 40 white roses, you get that the Greatest Common Factor is:

$72=2*2*2*3*3=2^3*3^2 \\\\40=2*2*2*5=2^3*5\\\\\\GCF=2^3=8$

In order to find the number of white roses in each bouquet, you need to divide the number of white roses the florirst has (40 roses) by the Greatest Common Factor.

Then, you get:

$\frac{40\ white\ roses}{8}=5\ white\ roses$

8 0

3 years ago

Read 2 more answers

A pyramid shaped building is 836 ft tall with a square base that is 156 ft on each side. What is the volume of the pyramid?

pishuonlain [190]

Answer:

6781632 ft ^ 3

Step-by-step explanation:

The first thing is to know the formula for the volume of a pyramid:

V = 1/3 * Ab * h

That is, it is one third of the product between the area of the base and the height.

The base area would be:

Ab = l ^ 2

the side equals 156 ft, replacing:

Ab = 156 ^ 2

Ab = 24336 ft ^ 2

now, replacing in the volume formula:

V = 1/3 * 24336 * 836

V = 6781632

Which means that the volume of the pyramid is 6781632 ft ^ 3

4 0

3 years ago

Find the zeros of the function <br> F(x)=x^2-5x+5

oee [108]

You would have to replace f(x) with zero and use quadratic formula

f(x)=x^2-5x+5
0=x^2-5x+5

=(-b+-√b^2-4ac)/2a
=(5+-√25-4(1)(5))/2
=(5+-√5)/2

x=(5+√5)/2 or x=(5-√5)/2

Both x values are completely applicable in the equation.

Hope I helped :)

6 0

4 years ago

The product of 3 and a number is the same as 10 less than twice the number

kicyunya [14]

Hello!

First, create a variable representing the number. In this case, let's just say n = the number.

Now, solve this by side. You can tell which is on which side of the equation by the words "is the same as". Anything before that is on one side, and anything after is on the other.

Left side: "The product of 3 and a number"

Here, we get our first side. The product means when two numbers are multiplied together. Thus, the product of 3 and a number would be 3 and a number multiplied together, or 3n.

Right side: "10 less than twice the number"

Finally, our last side. What we want to do first is "twice the number". This is because this happens first, even though the words are ordered differently. Twice the number means the number doubled, or *2. Therefore, multiply 2 and n together, to get 2n.

Next, add the "10 less" part. To do this, subtract 10 from 2n. We then get 2n - 10.

Finally, put the equation together. Take 3n and 2n-10, and create an equation. We get 3n = 2n-10.

Therefore, we have our final answer, or 3n = 2n - 10.

Hope this helps!

8 0

3 years ago