Answer:
BD = 8.8
Step-by-step explanation:
You have a right triangle.
The hypotenuse is BD
The side opposite the 27o angle is 4
Sin(27) = opposite / hypotenuse.
Sin(27) = 0.45399
opposite = 4
hypotenuse = ?
0.45399 = 4/hypotenuse
BD = 4/0.45399
BD = 8.811
The answer is 8.8
It is called the hardy Ramanujan's number, named after the Indian mathematician, Srinivasa Ramanujan, and British Mathematician G. H Hardy.
Hardy went to visit Ramanujan while he was ill. He noticed that the number of the taxi he went in was 1729, which he thought was a dull number.
1729 = 12³ + 1³
1729 = 10³ + 9³
Fujiwara claimed that he proved there are only four numbers that have the property. Even though it seems to be true, he never has shown his proof. No other natural number, other than 1729, can be expressed as a sum of the cubes of two natural numbers in two different ways.
A=s+30
8a+4s=840
8(s+30)+4s=840
12s+240=840
12s=600
s=50
a=50+30=80
Check:
80(8)+50(4)=640+200=840 CHECKS.
80 Adults and 50 Students.
Answer:
Let's say you have the factored quadratic (x-5)^2=0. The root is just 5, because when you set x-5 to zero and solve for x you have 5. In the same way, we can factor the equation as (x-1/2)(x+1/3), because if you set x-1/2=0 the solution is 1/2. The x+1/3 can also be set to zero and you get -1/3 . Therefore the quadratic has to be (x-1/2)(x+1/3).Foiling this out you get x^2-1/6x-1/6. Note we have to set this equal to zero like the first equation, so the answer is x^2-1/6x-1/6=0
Answer: original angle = 75°
Its supplement 105°
Its complement = 15°
Step-by-step explanation:
We know that,
- Sum of supplementary angles is 180 degrees.
- Sum of complementary angles is 90 degrees.
Let x be the original angle , then its supplement = 180° - x
its complement = 90° - x
As per given,
180° - x = 7(90° - x)
⇒ 180° - x = 630° - 7x
⇒ 7x- x = 630° -180°
⇒ 6 x = 450°
⇒ x = 75° [divide both sides by 6]
So, original angle = 75°
Its supplement = 180° - 75° = 105°
Its complement = 90° -75° = 15°
Hence, original angle = 75°
Its supplement 105°
Its complement = 15°