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Deffense [45]
3 years ago
7

9n +1 < 37 and -9 - 4n < 27

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

Answer:

-9>n>4

Step-by-step explanation:

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The law of cosines can only be applied to right triangles ? True or false
LenaWriter [7]
False it can work with non right angles triangles too
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3 years ago
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Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x
alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0
3 years ago
(Geometry)<br> Could anyone help me with this please and thanks
Ket [755]

Answer:

z = 32/3

Step-by-step explanation:

Presuming all the horizontal lines are parallel, the ratios of lengths will be identical.

3/8 = 4/z

3z = 8(4)

z = 32/3

8 0
3 years ago
In the figure, b and c are parallel lines. Which of the following statements are true?
Helen [10]

Answer:

1. No, Joe is not correct

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Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. \angle 5

Solution:

1.

Sum of two angles that form a linear pair is equal to 180^{\circ}

\angle 3+72^{\circ}=180^{\circ} (linear pair)

\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

\angle 5=72^{\circ} (alternate interior angles)

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3 years ago
Grant can swim 4/10 lap per minute. At that rate how many laps can he swim in 1 hour
Amiraneli [1.4K]
24 laps

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