Answer: 7 2/3
Step-by-step explanation: got it wrong and it showed me the right answer on khan academy
Answer:
x = 6
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular end and l is its length )
A =
bh = 0.5 × 9 × 4 = 18 cm² , then
V = 18 × 12 = 216 cm³
The volume of a cube is
V = s³ ( s is the side length ) , so
s³ = x³ = 216 ( take the cube root of both sides )
x =
= 6
Answer:
64.4
Step-by-step explanation:
In one of the trig formulas, it states sin <a/A = sin<b/B = sin<c/C
So we have in this case:
sin(70)/12 = sin x/14 Note: x is just a variable for the angle <ABC
14(sin70)/12 = sin x
sin^-1(14(sin70)/12) = x
x=64.4
Your welcome, and comment if you have any questions! :D
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS