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ZanzabumX [31]
3 years ago
15

Please help me with this question!!

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

Please find attached pdf

Step-by-step explanation:

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Betty is making a quilt made of various patterns. She buys 3 sheets of fabric that each have an area of 30 square feet. She cuts
qwelly [4]

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

3 0
4 years ago
In a new scale drawing of the same room, the length of the room measures 4 inches. What is the scale of the new drawing?
nirvana33 [79]

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

6 0
3 years ago
Line l in the xy-plane is perpendicular to the line
jeka57 [31]
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
6 0
3 years ago
1. Label the following as transformations on the independent variable or the
Ad libitum [116K]

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

7 0
4 years ago
Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant
Alex787 [66]

Find the intercepts for both planes.

Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:

y=z=0\implies x=2\implies (2,0,0)

x=z=0\implies y=2\implies(0,2,0)

x=y=0\implies 2z=2\implies z=1\implies(0,0,1)

Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:

y=z=0\implies4x=8\implies x=2\implies(2,0,0)

x=z=0\implies4y=8\impliesy=2\implies(0,2,0)

x=y=0\implies z=8\implies(0,0,8)

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

\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx

=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx

=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}

3 0
3 years ago
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