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:
Your total purchase was $9.40
Step-by-step explanation:
6 x 0.49 = 2.94
1 x 3.48 = 3.48
2 x 1.49 = 2.98
2.94 + 3.48 + 2.98 = 9.4
Answer:
all real numbers greater than or equal to 2
which is [2, infinite)
Answer: $18.19
Step-by-step explanation:
The tax is applied after the discount so first find the discounted price:
= Price * ( 1 - discount rate)
= 20 * ( 1 - 15%)
= $17
The sales tax of 7% can then be applied:
= Price * ( 1 + tax rate)
= 17 * ( 1 + 7%)
= $18.19
