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3 years ago

5

Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools wil

l Frank need to purchase?

1 answer:

erastovalidia [21]3 years ago

3 0

Answer:a lot

Step-by-step explanation:

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(b)<br> Using the formula 2T = M + 3K, find the value of K when T = 11 and M = 4.

Sunny_sXe [5.5K]

Answer:

K = 6

Step-by-step explanation:

Plug in what the letter equals to

Equation will look like:

2(11) = 4 + 3k or 3k + 4 = 2(11)

multiple the 2 by 11 and get 22

3k + 4 = 22 subtract the 4 so it can leave the 3k alone

22 - 4 = 18 now divide 3 from k and do it in the other side

18/3 = 6

so K = 6

4 0

3 years ago

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

4 years ago

Help plz anybody ????????????

Kobotan [32]

Answer: 18 square ft.

Step-by-step explanation:

Surface area is length*width. 1*1= 1*6= 6

since there are three cubes, it is 6*3= 18 square ft total.

4 0

3 years ago

A fish tank that holds 80 gallons of water is 55% full. How many gallons are in the tank now? How many more gallons are needed t

stich3 [128]

Answer:

44 gallons of water.

Step-by-step explanation:

3 0

2 years ago

{8x [1+(20-6)]}÷ 1/2=

IceJOKER [234]

You would do 20-6 which = 14. + 1 =15. times 8= 120 then divide that by 1/2 = 240 if you do 120 divided by .5 in a calculator thats what you get. i hope that helps you

7 0

3 years ago