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maks197457 [2]
3 years ago
7

Point D(-3, 5) is a vertex triangle of d e f. After a rotation of the triangle about the origin, D is located (3,-5). Which of t

he following was the rotation of the triangle?
A. 90-degree clockwise
B. 90° counterclockwise
C. 180 degrees
D. 360 degrees
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
Answer- 180 degree rotation.

Basically how I remember it is by 90 degree clockwise is switch x,y and change the sign of the x—> y,-x. 90 degree counterclockwise is switch x,y and change the sign of the y —> -y, x. 180 degree is changing both signs with no switch. 360 stays the same.
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vlada-n [284]

Answer:

2:3

Step-by-step explanation:

Simplica Los dos numeros

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On a circle of radius 10 feet, what angle would subtend an arc of length 1 feet?
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\bf s=\cfrac{r\theta \pi }{180}\quad 
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--------------\\
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3 years ago
How to solve for x in math
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valkas [14]
 <span>h=Vi*t - 16t^2=> 1st derivative of position(in this case h) with respect to time= velocity 
dh/dt = Vi - 32t => max height is reached when velocity = 0 
1500 - 32t = 0 
t=1500/32 = 375/8 sec, time to reach max h. => sub. in the h equation to find max h 
h = 1500*(375/8) - 16 (375/8)^2 
h=35,156.25 ft => max h 

The ascending and descending time are equal but let's prove it: set the h = 0 
1500t - 16t^2 = 0 => solve the quadratic 
t = 0 => reject 
t = 375/4 seconds => time to hit the ground, notice that this is twice the time to reach max h 

d = vt 
t = d/v 
= 50,000/880 
≈ 56.8 sec to reach the flare but the flare reached max h at 375/8 ≈ 46.9 sec, so it won't hit the plane going up, but will it hit the plane on its way down from 35,156.25 ft which is 5,156.25 ft above the plane altitude? lol, I'll leave this one for you to think about. 



part 2 
Well the answer is a square. The side is 30 feet so the little goats will have 900 square feet in which to run. This is more than some people have to run in who are not very privileged. 

To figure out it is a square, make the sides be H and L so you have 2H + 2L = 120 and A = H L 

Then write the area in terms of a single variable, A = H (120 - 2H ) / 2 = 60 H - H^2 since L = (120 - 2H ) / 2 

Then take the derivative, dA/dH = 60 - 2H 
Set it to zero to find the critical points 
60 - 2H = 0 
Solve for H 
H=30 </span>
3 0
3 years ago
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