You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
Another way of finding Surface Area is
- SA= 2LW+2LH+2HW
L= Length
W= Width
H= Height
the answer, and explained, would be this
2. SA= 2(12)(10)+2(12)(16)+2 (10)(16)
(<em>multiply</em>)
3. SA= 240 + 384 + 320
(<em>add</em>)
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em>.</em><em>.</em><em> </em>
<em><u>SA</u></em><em><u>=</u></em><em><u>944ft3</u></em><em><u> </u></em>
Answer:
3•(10•12)=3•(12•10) = 360 = True
Step-by-step explanation:
left-hand side Simplify the following:
3×10×12
10×12 = 120:
3×120
3×120 = 360:
Answer: 360
______________________
Right-hand side:
Simplify the following:
3×12×10
Hint: | Multiply 12 and 10 together.
12×10 = 120:
3×120
Hint: | Multiply 3 and 120 together.
3×120 = 360:
Answer: 360
Answer:
x = 8
Step-by-step explanation:
2x + 46 = 7x + 6
Add -2x and -6 on both sides.
46 - 6 = 7x - 2x
40 = 5x
Divide 5 into both sides.
40/5 = x
8 = x
