Kyle and Andrea were asked to make a list of prime numbers.

What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?

spayn [35]

Answer: 6,8 and 10

Step-by-step explanation:

To find the length , all we need to find is the distance between each point ,

the formula for calculating distance between two points is given by :

D = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

Let the points be :

A ( -5,-1)

B(-5,5)

C(3,-1)

Calculating the length AB , we have

D1 = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

D1 = $\sqrt{(-5+5)^{2}+(5+1)^{2}}$

D1 = $\sqrt{36}$

D1= 6

Calculating the length AC , we have

D2 = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

D2 = $\sqrt{(3+5)^{2}+(-1+1)^{2}}$

D2 = $\sqrt{64}$

D2 = 8

Calculating the length BC , we have

D3 = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

D3 = $\sqrt{(3+5)^{2}+(-1-5)^{2}}$

D3 = $\sqrt{100}$

D3 = 10

Therefore ,the length of the sides of the triangle are 6,8 and 10

3 0

3 years ago

If the hot dog eating champion's goal is to eat 1 hot dog every 13 seconds, how many whole hot dogs does he expect to eat in 12

sweet [91]

He wil eat a total of 55.2 hot dogs. there 60 seconds in a minute . he plans to eat 1 hotdog in every 13 seconds . you divide 60 by 13 . he will eat 4.6 hot dogs in a minute . then you multiply 4.6 by 12.

6 0

3 years ago

The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit

Sphinxa [80]

Answer:

24.2%

Explanation:

The percentage of people choosing strawberry can be calculated as follows:

$Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100$

We have:

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

Substitute in the above rule to get the percentage as follows:

$Percentage = \frac{15}{62}*100 = 24.19 = 24.2$ %

Hope this helps :)

3 0

3 years ago

works as a florist and worked 12 hours last week and earned $98. At that rate, how much will she earn this weekend if she works

kotykmax [81]

Answer:

$114.3

Step-by-step explanation:

Number of hours worked last week = 12hrs

Amount earned for her work hours = $98

The rate at which she earned = ?

Rate = $\frac{amount earned }{total work hour}$

Rate = $\frac{98}{12}$ = $8.17/hr

Now;

Since the total hours she worked during the weekend = 14hrs

Amount earned = $8.17/hr x 14hrs = $114.3

7 0

3 years ago

Markus is finding that it takes too long to track down all of the groceries he needs to buy from a given store. GroceryGrabbr to

swat32

Answer:

A. The grocery list the user input

Step-by-step explanation:

4 0

3 years ago