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
Your answer would be F(0)=f(-1)
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
Answer:
the answer is 800in
Step-by-step explanation:
Answer:
26,250
Step-by-step explanation:
25,000 + 5% = 26,250
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