Answer:
the unknown angle is 88°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the opposite interior angles. Therefore, in the tall triangle, 60 + 40 = 100, meaning the bottom left angle in the small triangle is 100-64=36. And b/c angle sum of a triangle is 180°, 180-36-56=88°
Answer:

Step-by-step explanation:
Let
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

So, the volume of the smaller cylinder is equal to
.
Answer:
Step-by-step explanation:
d + q = 94.....d = 94 - q
0.10d + 0.25q = 19.30
0.10(94 - q) + 0.25q = 19.30
9.4 - 0.10q + 0.25q = 19.30
-0.10q + 0.25q = 19.30 - 9.40
0.15q = 9.90
q = 9.90/0.15
q = 66 <===== there are 66 quarters
d + q = 94
d + 66 = 94
d = 94 - 66
d = 28 <==== there are 28 dimes
Answer:
13/7 - (14/21 + 15/21)
Step-by-step explanation:
= 13/7 - ( 29/21)
= 39/21 - 29/21 = 10/21 = 0.47
Answer:
a) find the value of y when x is equal to 4.
Step-by-step explanation: