Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
Rank Ordered Matching
Step-by-step explanation:
75^2+30^2=C^2
75^2=5625 30^2=900
5625+900=6525
6525 square root is 80.77 answer is #2
<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
Answer:
x > 8/15
Step-by-step explanation:
x -1/2x + 1/3 > 3/5
Combine like terms
2/2x - 1/2x +1/3 > 3/5
1/2x + 1/3 > 3/5
Subtract 1/3 from each side
1/2x + 1/3 -1/3 > 3/5 -1/3
1/2x > 3/5 -1/3
Get a common denominator
1/2x > 9/15 - 5/15
1/2x > 4/15
Multiply each side by 2
2 * 1/2x > 4/15 * 2
x > 8/15
