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3 years ago

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Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 feet of ribbon. At the fabric store, ribbon is sold by t

he foot. If Jeanne wants to make 84 bows, how many feet of ribbon must she buy

1 answer:

Dovator [93]3 years ago

6 0

Answer:

126

Step-by-step explanation:

That might be the answer sorry if im wrong

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Let R = [ 0 , 1 ] × [ 0 , 1 ] R=[0,1]×[0,1]. Find the volume of the region above R R and below the plane which passes through th

Bond [772]

The three vectors $\langle0,0,1\rangle$ , $\langle1,0,8\rangle$ , and $\langle0,1,9\rangle$ each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

$\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle$

$\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle$

Then the cross product of these two results is normal to the plane:

$\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle$

Let $(x,y,z)$ be a point on the plane. Then the vector connecting $(x,y,z)$ to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

$\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0$

which reduces to the equation of the plane,

$-7x-8y+z-1=0\implies z=7x+8y+1$

Let $z=f(x,y)$ . Then the volume of the region above $R$ and below the plane is

$\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}$

6 0

3 years ago

Susan tossed a die 996 times. which of the following would be a good estimate of the number of times she got the number 3 on the

nignag [31]

Answer:

i believe the answer is 332

Step-by-step explanation:

basically what i did was divide 3 and 996. when you do that it will let you know the estimate number of the number times she got number 3 on the die.

5 0

3 years ago

HELP PLEASE!!!! What is the formula to this......dry beans, cereal, popcorn, rice, or other small grain (about 4 cups)  heavywe

topjm [15]

Answer:

9101

Step-by-step explanation:

do the math

3 0

3 years ago

I need help to see if their equivalent help fast pls

Taya2010 [7]

They are <em><u>not</u></em><u> </u>equivalent. When you <em>distribute the 1/4</em>, the <em><u>expressions are different</u></em>.

8 0

3 years ago

At the beginning of the fall, the water level of a lake is 12

spayn [35]

x = normal water level

x - 12 - 13 = x - 25

so it is 25 feet below the normal water level

6 0

3 years ago