Answer:

Step-by-step explanation:
We have two coordinate points and are asked to find a slope.
When finding slope, we can use the formula listed :

To understand what the variables are, you can take this :


Substitute the points :


Now substitute it into the formula :



Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Answer:
Kerry should pay = 155520
Step-by-step explanation:
Total amount paid = 14,4000 + 8% of 14,4000
It is given that,
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax
<u>To find the 8% of 14,4000</u>
8% of 14,4000 = (8*144000)/100 = 11520
<u>To find total amount paid</u>
Total amount paid = 14,4000 + 8% of 14,4000
= 14,4000 + 11520 =155520
Therefore Kerry should pay = 155520
Answer:
a. Yes, it will float in oil since it is less dense than oil.
b. No, it won't float in oil since it is more dense than the oil itself.
c. Yes, it will float in water since, the water is more dense than the object itself.