Answer:
$838.50
Step-by-step explanation:
10% of 1290 is 129 making 5% 64.5
35%= 129+129+129+64.5=451.5
1290-451.5=838.50
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
Answer:
(-6,4)
Step-by-step explanation:
You started at (-4,2) The first number in the ordered pair moves the number left and right and the second number moved the point up and down.
We are first told to move the point 2 units to the left. -4 is my left right number. If I am at -4 and I go to unites to the left, I will be at -6. My new point is now (-6,2). Next we are told to go up 2. The 2 number in my ordered pair tells me that I am 2 above the x axis. Now I am going to go two more units up. I am now at 4, so my new ordered pair after the translation is (-6,4)
Answer:
A. y = -x -2
Step-by-step explanation:
thanks for the questions.
Answer:
d
Step-by-step explanation: