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AlladinOne [14]
2 years ago
6

If a window is 10 in + 14 in + 4 in what is the area of the window

Mathematics
1 answer:
lesya [120]2 years ago
3 0

Answer:

10 x 14 x 4 = 560

Step-by-step explanation:

You have to multiple all the numbers to get the area of a surface. Dont forget to include your measurements

Hope this helps

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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
Select all expressions that are equivalent to 5n-30
mamaluj [8]

Answer: everything EXCEPT 5(n-30)

Step-by-step explanation:

8 0
2 years ago
PLS HELP MEE ASAP 1 MIN LEFT HELPP!!!!!!!!!
artcher [175]

Answer: BC = 5.83

Step-by-step explanation:

Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:

AB = 5

AC = 3

BC = ?

To find BC, we can simply use the Pythagorean Theorem:

a^{2}+b^{2}=c^{2}

5^2 + 3^2 = c^2

25 + 9 = c^2

34 = c^2

Now square root to find c, or BC.

\sqrt{34}=\sqrt{c^{2} }

c = 5.83 (rounded by nearest hundredth)

4 0
2 years ago
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How
NISA [10]

Answer: h < 7 or h> 9

Step-by-step explanation:

just did the test

4 0
2 years ago
Line A is defined by the equation y=-3x-2
const2013 [10]
THE ANSWER IS: D. y=-3x+11

when two lines are parallel, they share the same slope, which is -3

then plug in the given point into slope intercept form then solve for standard form

4 0
2 years ago
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