<span>Using the Triangle Inequality Theorem
</span><span>The sum of two side lengths of a triangle is always greater than the third side
</span>
first one: 6, 22 , 10
6 + 22 > 10 : yes
22 + 10 > 6 : yes
6 + 10 > 22 : No because 16 < 22
These 3 lengths could NOT be lengths of sides of a triangle
second one: 8 , 15 , 22
8 + 15 > 22 : yes
15 + 22 > 8 : yes
8 + 22 > 15 : yes
These 3 lengths could be lengths of sides of a triangle
Answer:
Second option
8 cm, 15 cm, 22 cm
Answer: y = -(9/5)x - 1
Step-by-step explanation:
Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]
A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:
y = -(9/5)x + b
We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.
8 = -(9/5)*(-5) + b
8 = (9) + b
b = -1
The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is
y = -(9/5)x - 1
Answer:
a 166 67/100
b 20 1/4
c 829 77/100
d 664 47/50
e 208 4/25
Step-by-step explanation:
you need to find the common denominator (the number on the bottom) so for the first one when can 10 = 100 if you multiply 10 x 10 you get 100 so multiply the entire fraction by 10 and you will get 10/100 so the equation would be 381 10/100 - 214 43/100 which equals 166 67/100 then just do the same thing for the rest of them
Answer:
total surface area = 76 sq.cm
Step-by-step explanation:
total surface area of cuboid = 2 ( lb + lh + bh )
( where l is length , b is width and h is height )
so, surface area :
= 2[ (5×4) + (5×2) + (2×4) ]
= 2 [ 20 + 10 + 8 ]
= 2 × 38
= 76 sq.cm
