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2 years ago

What is John and Linda paid each hour

Mathematics

2 answers:

Lemur [1.5K]2 years ago

7 0

This question is out of context

zhannawk [14.2K]2 years ago

7 0

Where is the equation or question?

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Find the equation for the plane that contains the line x=−1+3t , y=1+2t, z=2+4t and is perpendicular to the plane containing the

Ivan

Let $L$ be the line given by the vector equation

$(-1,1,2) + \lambda(3,2,4) \ , \lambda \in \mathbb{R}$ .

First, we use the director vectors of the lines L1 and L2 to get the

vector equation of the plane containing them, which we denote by $\Pi_1$ . This is,

$\\\\\Pi_1 : (1,-1,5) + \alpha (2,-1,6) + \beta (1,1,-3) \ , \alpha, \beta \in \mathbb{R}\\\\\\$

We observe that $\vec{N} = (2,-1,6)\times(1,1,-3) = (-3,12,3) \ne (0,0,0)$ . Therefore, the vector equation of $\Pi_1$ defines a plane and $\vec{N}$ is a normal vector to $\Pi_1.$

Finally, the vector equation for the wanted plane, which we denote by $\Pi$ , is

$\Pi : (-1,1,2) + r(3,2,4) + s(-3,12,3), r,s \in \mathbb{R} \ .$

Thus, if $s = 0$ , then $L \subset \Pi$ and since $\vec{N}$ is parallel to $\Pi$ , then it is perpendicular to $\Pi_1$ .

8 0

3 years ago

Which is NOT always true?A rectangle is a parallelogramA square is a rhombusA rhombus is a rectangleA square is a rectangle

Lemur [1.5K]

EXPLANATION

-A rectangle is a parallelogram. True. Every rectangle is a parallelogram.

-A square is a rhombus. True. Every square is a rhombus.

Every rhombus is a rectangle-->This is NOT always true when the rhombus has not right angles.

-True --> A square is a special type of rectangle because it possesses all the properties of a rectangle.

4 0

1 year ago

Please help me with this!

Assoli18 [71]

Answer:

___________________________________________________

360 — A

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Step-by-step explanation:

This is a square based pyramid. Which means that all of the triangles have the same area. All you need to do is find the area of one triangle, multiply it by 4, and add that to the area of the square base.

___________________________________________________

Step 1) FIND THE AREA OF ONE TRIANGLE

Imagine the triangle as a flat 2D shape. The height of this shape would be 13km, that mush is given to us. The length is also given, 10km.

How to find the area of a triangle:

Multiply the height times the width and divide the result by 2.

1. 13 x 10 = 130

2. 130/2 = 65

The area of this triangle is 65km squared.

___________________________________________________

Step 2) MULTIPLY BY 4

65 x 4 = 260

___________________________________________________

Step 3) FIND THE AREA OF THE SQUARE

When you find the area of a square, all you need is the length of one edge. That is 10km in this case.

Multiply this length by itself,

10 x 10 = 100

___________________________________________________

GETTING THE FINAL ANSWER

Add all your results :

260 + 100 = 360

3 0

3 years ago

Michael can type 80 words in 2 minutes. How many words can he type in 60 minutes?

Contact [7]

Answer:

2,400 words

Step-by-step explanation:

2 times 30= 60

So 80 times 30= 2,400

6 0

3 years ago

Read 2 more answers

What is the measure of an angle whose complement and supplement equal 200?

dmitriy555 [2]

The complement is 90-n and the supplement is 180-n. If I understand your wording properly, we now know that 90-n + (180-n) = 200.

-2n + 90 + 180 = 200. Solve for n: 270-200 = 2n, so n = 35 degrees.

3 0

3 years ago

Read 2 more answers