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frozen [14]
3 years ago
12

Hey school cafeteria make cheese sauce for macaroni using 15 cups of swiss cheese and 17 cups of cheddar cheese perry tries to m

ake the sauce for a family party using 5 cups of swiss and 7 cups of cheddar is perry using the correct ratio
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0
He would be using the right ratio because a facility would be small compared to a evoke school with around 400 kids.
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Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

------------------------

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0
3 years ago
A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain you
atroni [7]
A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain your reasoning. 

<span>p - as "x" never changes with the value of "y", so no matter what y is, x is always "p", so when y is 0, x = p </span>

<span>slope of the line </span>
<span>change in y over the change in x </span>
<span>(-a - a) / (p - p) = infinity - or a vertical line </span>
<span>equation of the line </span>
<span>y = p </span>
<span>slope of a line perpendicular to the given line </span>
<span>inverse of the orig slope or (p - p)/(-a - a) = 0</span>
6 0
3 years ago
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11. What geometric shape is a roll of paper towels?<br> (98)
Rus_ich [418]

Answer:

cylinder

Step-by-step explanation:

5 0
3 years ago
What is the surface area of the cylinder?
guajiro [1.7K]

Answer:

i think it is C 80π ft^2

that is because 10*8=80

6 0
3 years ago
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3/5, 1/2,5/7 as a common
miskamm [114]

a common what? denominator?


4 0
3 years ago
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