For this item, I will assume that we are required to give the area of the dilated triangle. By dilated we mean to say that the dimensions of the second triangle is 6 times that of the first. We square 6 and them multiply this to the area of the original triangle to get the area of the second. That is,
area of second triangle = (2/3 cm²)(6²) = 24 cm²
Thus, the area of the new triangle is equal to 24 cm².
We need to find out how much is worth one yard in both fabrics, so we divide $15.00 by 2 and $37.50 by 5:
$15.00 ÷ 2 = $7.50 per yard
$37.50 ÷ 5 = $7.50 per yard
As both prices per yard are the same, the answer is: <span>Yes, these fabrics have the same unit cost.</span>
Answer:
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Step-by-step explanation:
Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>
Answer: y=-1/3x+1
Step-by-step explanation:
To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.
3=-1/3(-6)+b [multiply]
3=2+b [subtract both sides by 2]
b=1
Now that we know the y-intercept, we know that the equation is y=-1/3x+1.