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e-lub [12.9K]
3 years ago
11

harold serves himself 1 1/2 ounces serving of cereal each morning. How many servings does he get from a box of his favorite cere

al?
Mathematics
1 answer:
Naily [24]3 years ago
7 0
He gets 5 1/2 servings from the box of his favorite cereal.


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Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Gi
Reptile [31]

Answer:

  angle of intersection: 5.2°

Step-by-step explanation:

The direction vector normal to the plane is ...

  n = (1, 1, 3)

The direction vector of the line is ...

  m = (1, -3, 1)

Then the angle θ between them can be found from the dot product:

  n•m = |n|·|m|·cos(θ)

  (1·1 +1(-3) +3·1) = 1 -3 +3 = 1 = √(1²+1²+3²)·√(1²+(-3)²+1²)·cos(θ)

  1 = 11·cos(θ)

  θ = arccos(1/11) ≈ 84.8°

This is the angle between the line and the normal to the plane, so the angle between the line and the plane will be the complement of this. Since this angle is not 90°, <em>the line and plane must intersect</em>.

  acute angle = 90° -84.8° = 5.2°

_____

The attached graph shows the line and plane meet at a shallow angle, consistent with the above answer.

8 0
3 years ago
A number x is more than -6 and at most 8. Write it in a inequality
geniusboy [140]
-6<x≤8 would be the inequality
5 0
3 years ago
Santa llike cookies he has 100 how many do he get merry xmas points away
tensa zangetsu [6.8K]

Answer:

Merry early Christmas to you too,have a great night!

Step-by-step explanation:

7 0
3 years ago
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Three shirts and two pairs of pants cost $40. Four shirts and one pair of pants cost $37.50. How much does one shirt cost?
taurus [48]

Answer:

d, 700

Step-by-step explanation:

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3 years ago
1)<br> I<br> I<br> ? 20-<br> A) 999<br> C) 1219<br> B) 39°<br> D) 1020
WITCHER [35]

Answer:

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\angle{VUW} = 180 - 141 = 39

\angle{WVU} = 180 - (20 + 39) = 121

Answer: 121

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