Answer:
She will have 12 sections per fabric and 36 sections in all
Step-by-step explanation:
Betty buy 3 fabrics of 30 ft²
If she cut each to 2/5 of 1 ft²
The she will have
30 × 2/5
= 6 × 2
= 12
She will have 12 for each fabric and for the 3 fabrics, she will have
12 × 3 = 36
Answer:
6 feet = 1 inch
Step-by-step explanation:
The actual length of the room = 24 feets
The new scaled lengtb of the room = 4 inches
The scale of a drawing = actual length / scaled or model length
Hence, scale used = 24 feet / 4 inch = 6 feet / 1 inch
The scale of the new drawing :
6 feet : 1 inch
6 feet length of actual room length is equivalent to 1 inch length on the drawing
The line x = 2 is perpendicular to the x-axis.
That is to say it is vertical and it’s slope is undefined.
Line l must be horizontal so it has a slope of 0
Answer:
(A) dependent variable
(B) Dependent variable
(C) independent variable
(D) independent variable
Step-by-step explanation:
F(x) is equivalent to y, so the first two equations are saying y+3 and y-3
The last two equations are saying y=x+3 and y=x-3
Find the intercepts for both planes.
Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:
Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:
Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.
Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.
So the volume of the region is
