What would be the orientation of the figure out after a translation of eight units to the right and three units up

You are looking down at a map. A vector u with |u| = 6 points north and a vector v with |v| = 5 points northeast. The crossprodu

lina2011 [118]

Answer: Hi!

First, UxV = sin(a)*IUI*IVI

where a is the angle between U and V, in this case 45°.

First, the cross product of UxV points:

Here you can use the right hand method,

Put your hand flat, so the point of your fingers point in the same direction that the first vector, in this case U, so your fingers will point to the north.

Now roll your fingers in the direction of the second vector, so here you will roll your fingers in the northeast direction. Now you will see that your thumb is pointing down, so the cross product of UxV points down.

And the magnitude is 6*5*sin(45) = 21.213

6 0

3 years ago

The graph shows the cost of ice cream. If a teacher wants to buy 20 cones, how much will it cost ?

Volgvan

Answer:

you cannot see the graph. So I cannot answer this question

Step-by-step explanation:

if you add the graph maybe I can help :D

6 0

2 years ago

You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per h

ch4aika [34]

Answer:

$319.43

Step-by-step explanation:

Monday= 4 * $11.52= $46.08

Tuesday= 4.5 * $11.52= $51.84

Thursday= 7.25 * $11.52= $83.27

Saturday= 12 * $11.52= $138.24

When you add all of those together you get $319.43

hope this helped (:

(this took so long so this better be right...<3)

6 0

2 years ago

Anyone knows how to do questions 7 and 8? 15 pts!!

Oksi-84 [34.3K]

7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is: $2x^2-4x+5$ . With this consideration, we can continue.

(i) Let E the expression that we are analyzing:

$E=2x^2-4x+5\\\\ E=2x^2-4x+2-2+5\\\\ E=2(x^2-2x+1)-2+5\\\\ E=2(x-1)^2+3$

Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.

(ii) Manipulating the expression:

$2x^2+5=4x\\\\ 2x^2-4x+5=0$

So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.

8) Let E the expression that we want to calculate:

$E=(2+1)(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)+1\\\\ E-1=(2+1)(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)$

Multiplying by (2-1) in the both sides:

$(2-1)(E-1)=(2-1)(2+1)(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)\\\\ (E-1)=\underbrace{(2-1)(2+1)}_{2^2-1}(2^2+1)(2^4+1)\cdot ...\cdot(2^{32}+1)\\\\ (E-1)=\underbrace{(2^2-1)(2^2+1)}_{2^4-1}(2^4+1)\cdot ...\cdot(2^{32}+1)\\\\ ...$ Repeating the process, we obtain: $...\\\\ E-1=(2^{32}-1)(2^{32}+1)\\\\ E-1=2^{64}-1\\\\ \boxed{E=2^{64}}$

3 0

3 years ago

Read 2 more answers

What is the area of the triangle in centimeters squared?

vekshin1

112 centimeters squared

Explanation:
The formula for area of a triangle is:
1/2 • base • height

REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong

Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112

FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared

Have a nice day, hope this helps!

5 0

2 years ago