Felix has 2 yards of ribbon. he needs 1/4 yard to make a bow. how many bows can he make?

The length of ZX is 2 units. What is the perimeter of triangle XYZ?

dezoksy [38]

Keywords

triangle,perimeter,distance, length, side, points

we know that

The perimeter of a triangle is the sum of the three length side

To find the length side calculate the distance between two points

The formula to calculate the distance between to points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step 1

Find the distance ZY

$Z(1,0)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-0)^{2}+(3-1)^{2}}$

$dZY=\sqrt{5}\ units$

Step 2

Find the distance XY

$X(-1,4)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-4)^{2}+(3+1)^{2}}$

$dXY=\sqrt{25}=5\ units$

Step 3

Find the perimeter of the triangle

$P=ZX+ZY+XY$

we have

$dZX=2\sqrt{5}\ units$

$dZY=\sqrt{5}\ units$

$dXY=5\ units$

Substitute

$P=(2\sqrt{5}+\sqrt{5}+5)\ units$

therefore

the answer is

$P=(3\sqrt{5}+5)\ units$

4 0

3 years ago

Read 2 more answers

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 7% interest.

anyanavicka [17]

9514 1404 393

Answer:

loan: $157,823
repaid: $378,000
interest: $220,177

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

$1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

$157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

$378,000 -157,823 = $220,177

8 0

3 years ago

Write the equation of the line in slope-intercept form of the statement

Law Incorporation [45]

Answer:

Y= -2x +40

Step-by-step explanation:

6 0

3 years ago

Change 3/4 to decimal

vodomira [7]

Answer:

0.75

Step-by-step explanation:

Since we use the base 10 decimal system, first convert 3/4 to out of 100:

3/4 = 75/100

We divide 75 by 100 to get 0.75

5 0

3 years ago

3 people divide $30 charge. They get refund of 1 dollar each and cashier keeps 2 dollars. When cross checking you multiply 9x3=2

Inessa [10]

Answer:

First, 3 people divide $30, then each one of them pays:

$30/3 = $10.

Each one of them gets $1 in refound.

Then at the moment, each one of them paid $9, and there are 3 friends, so the total amount is 3*$9 = $27.

We also know that the cashier keeps $2, but these $2 must come from the $27 that the friends paid.

Then we will have $27 = $25 + $2.

This means that the total cost was $25, and the cashier kept $2 as a tip.

Now, in your problem, you add the $2 that the cashier kept to the $27 that the friends paid. While those $2 actually are already counted in the $27 that the friends paid.

7 0

3 years ago