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3 years ago

Find the distance between the points (1, 5) and (1, -4). 3 √(41) 9

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Answer:

The distance between the givens points is 9 unit

Step-by-step explanation:

Given points are as :

A = ( 1 , 5 )

B = ( 1 , - 4 )

So, The Distance between points A and B = AB

Now, From Distance formula

AB = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Or, AB = $\sqrt{(1 - 1)^{2}+( - 4 - 5)^{2}}$

Or, AB = $\sqrt{0 +81}$

Or, AB = $\sqrt{81}$ = 9

Hence The distance between the givens points is 9 unit Answer

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A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

ahrayia [7]

Triangle Area = .5 * (base * height)
36 = (base * height) / 2
So let's say base = 9 height 8
If base and height are scaled by a factor if 5 than
base = 45 height 40 and
area = .5 * (45 * 40)
area = 900

Basically, the area increases by a factor of 25.
The base increases by 5 and the height increases by 5 so the area increases by 5*5 = 25

4 0

3 years ago

Harry is riding a train that goes 70 miles an hour. How far will he travel is 3.5 hours?

alexdok [17]

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

4 0

2 years ago

Read 2 more answers

A salesperson earns $450.20 per week plus 15% of her weekly sales. Which of the following describes the sales necessary for the

lapo4ka [179]

First we must construct an equation to model the problem. (In this case we will use an inequality instead) This is what I came up with:
450.20+0.15s>=600.10

This equation shows how if her base earnings ($450.20) are added to 15% of her sales, represented by s, then the total will be greater than or equal to $600.10
Next, we simply solve for s. (steps shown below)

1) 450.20+0.15s>=600.10 (simply restating the inequality)
2) 0.15s>=149.90 (here I isolated the variable)
3)0.15s/0.15>=149.90/0.15 (Finally I solve for s by dividing both sides by 0.15, this will isolate s on the left and leave the answer on the right)
4) s>=999.33... (here I found the total sales the salesperson would need to reach his/her goal of earning a minimum of $600.10; the 3's after the decimal are repeating so in the next step I will round up to the nearest hundredth (b/c this is what money is rounded to and if I round down he/she would make less than her goal. This means i must round up.))
5) s>=999.34 (simple rounding; once again I rounded up b/c rounding down would slightly bring the total earnings to less than the goal)

Therefore, the salesperson would need his/her sales to be $999.34 in order for his/her total earnings for the week to be at least $600.10 (greater than or equal to $600.10)

Hope this helped!

4 0

3 years ago

If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.

Alexandra [31]

Answer:

240

Step-by-step explanation:

We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.

Hope I helped

4 0

3 years ago

Read 2 more answers

Need some help with this

kramer

Answer:

Step-by-step explanation:

The total number of outcomes the two fair number cubes are thrown is 36. This can be seen by counting the outcomes shown on the table.

a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3

Therefore, the probability of getting a sum of 4 will be

3/36 = 1/12

b) for a sum of 5, there are only 4 possible outcomes. They are 4,1 3,2 2,3 and 1,4

Therefore, the probability of getting a sum of 4 will be

4/36 = 1/9

c)for a sum of 6, there are only 5 possible outcomes. They are 5,1 4,2 3,3 2,4 and 1,5

Therefore, the probability of getting a sum of 6 will be

5/36 = 5/36

The probability that the sum of the results of the throw is 4,5 or 6 would be

1/12 + 1/9 + 5/36 = (3 + 4 + 5)/36 = 12/36 = 1/3

7 0

3 years ago