5x-22=3x+10
2x-22=10
2x=32
X=16
Answer:
50 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find the diagonal (or the hypotenuse)
30²+40²=x²
900+1600=x²
√2500=√x
x=50 feet
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
Answer:
<h2>
<em>4</em><em>1</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>a</em><em>=</em><em>1</em><em>4</em>
<em>b</em><em>=</em><em>2</em><em>9</em>
<em>c</em><em>=</em><em>1</em>
<em>D=</em><em>1</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
Answer:
there is no solution
Step-by-step explanation:
y + 7 = 3x
6x - 2y = 6 which can be simplied to be 3x - y = 6 (divide by 2)
let y = 3x - 7
substitute: 3x -(3x - 7) = 6
3x - 3x + 7 = 6
7 ≠ 6 therefore, no solution