Answer:
Yes, the sides form a right triangle.
Step-by-step explanation:
<u>Pythagorean Theorem:</u>
a² + b² = c²
↓
20² + 21² = 29²
║a² = 20² = 400
║b² = 21² = 441
║c² = 29² = 841
↓
400 + 441 = 841
║This equation is true.
↓
Yes, the sides form a right triangle.
Using a graphic tool.
<span>see attached graphic</span>
<span>
the solutions are
x1=-2
x2=0.811
</span>check
for x=-2
x^4+3x^3+3x2-3x-4
(-2) ^4+3(-2) ^3+3(-2) ^2-4=16+(-24)+12-4=0 ok
For x=0.811
(0.811) ^4+3(0.811) ^3+3(0.811) ^2-4=0.4326+(1.6002)+1.9731-4=0 ok
Answer:
Class width = 9
Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.
Step-by-step explanation:
We are given;
Highest value = 82
Lowest value = 20
Frequency = 7
Formula for class width is;
Class width = (Highest Value - Lowest Value)/number of classes
Class width = (82 - 20)/7
Class width = 8.8 ≈ 9
Now,since class width is 9, limits between 20 and 82 would be done at intervals of 9.
Thus;
Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.
Answer:
The discount would be 25%
Step-by-step explanation:
24 and 18 are both divisible by 6
24 is just 4×6
18 is just 3×6
This means that 18/24 is the same as 3/4
We calculate the discount by subtracting the percentage of the sale price from the original price.
3/4 is the same as 75% of 100% meaning the discount percentage is 100-75, which gives us 25%
