The angle you want - call it <em>θ</em> - is such that
tan(<em>θ</em>) = FC / AC
Find the length of the diagonal AC, i.e. a diagonal of the rectangle ABCD. ABC forms a right triangle with legs AB = 70 and BC = 50, so
AC² = AB² + BC²
→ AC = √(70² + 50²) = 10 √74
Find FC using the given angle of the sloping face:
tan(30º) = FC / BC
→ 1/√3 = FC / 50
→ FC = 50/√3
Now solve for <em>θ</em> :
tan(<em>θ</em>) = (50/√3) / (10 √74)
→ tan(<em>θ</em>) = 5/√222
→ <em>θ</em> ≈ 18.6º
The sales taxes are $3 : $37,5 x 8/100
The total is 47,79 $ because you do 37,5x8/100+37,5 and this is 40,5$ and after you do 40,5$x18/100+40,5$ and taht makes 47,79$
Answer:
a= 40
Step-by-step explanation:
-5a + 7.5a - 25 = 53.2 + 21.8
add like terms on both sides: 2.5a - 25 = 75
add 25 on both sides: 2.5a = 100
divide both sides by 2.5: a = 40
The answer to this question is B
Question 1:
For this case we must rewrite the following equation:
If we add 3x to both sides of the equation we have:
Thus, we have that an equivalent expression is option C.
Answer:
Option C
Question 2:
For this case we must solve the following equation:
Subtracting 5 from both sides of the equation we have:
Dividing between -5 on both sides of the equation we have:
Answer:
Option B
