the first answer common ratio is t2/t1=32/16
=2
I'm not sure of the rest
9514 1404 393
Answer:
Step-by-step explanation:
1 m is 100 cm, so the volume is ...
V = LWH
V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume
__
The mass is ...
(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg
The mass of the block is 54 kg.
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) =
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
Notice the corners; the corner on each triangle with one line is equivalent, and the same goes for the corner on each triangle with two lines, and the corner on each triangle with three lines. this is just a way to know which angles match up!
this means the answer would be:
D!
Answer:
x = 14
Step-by-step explanation:
For complementary angles, the sum of two angles is equal to 90 degrees.
We have,

ATQ,

Taking like terms together,
4x+x =90-30+10
5x = 70
x = 14
So, the value of x is 14.