since the triangles are similar
angle DEC = 60 degrees
3 angles inside a triangle equal 180 degrees
BAC = DCE = 64
CBA = EDC = 56
DEC = 180 -56 -64 = 60 degrees
used angle-angle theorem
Answer:
Step-by-step explanation:
Horizontal cross-section of a cylinder is a circle with same dimension as its base
<u>Given diameter </u>
<u>Area formula</u>
<u>So the area of cross section is: </u>
- A = 3.14*12²/4 = 113.04 square inches
Answer:
n= 21
c= 3x
Step-by-step explanation:
The expression is given as;
(3x⁷)⁴
Apply the brackets law of indices which states that :
If a term with a power is itself raised to a power then the powers are multiplied together
(xᵃ)ᵇ = xᵃˣᵇ
Applying the same;
(3x⁷)⁴ = 3x²¹
If 3x²¹ = c^n
Then n = 21
and
c= 3x
Answer:
Therefore the probability that the card is not brown is
.
Step-by-step explanation:
Probability: Probability is the ratio of the favorable outcome to the total outcome.

Given that, a box contains 2 cards blue in color , 4 cards brown in color and 6 cards yellow in color.
Total number of cards= (2+4+6)=12
∴P(getting a brown card)



∴P(not getting a brown card)
=1 - P(getting a brown card)


Therefore the probability that the card is not brown is
.
Answer:
Chess
Step-by-step explanation:
white shapes and black shapes are used in a CHESS game.