Answer:
answer 90
Step-by-step explanation:
since the sum of the external angles
triangle is 180
internal equal to 90
Answer:
272 cm²
Step-by-step explanation:
Step 1
We have to find the scale factor
When given the volume of two solids, the formula for the scale factor is
V1/V2 = (Scale factor)³
The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³
V1 = Pyramid A
V2 = Pyramid B
704/297 = (scale factor)³
We simplify the left hand side to simplest fraction
The greatest common factor of 704 and 297 = 11
704÷11/297÷11 = (scale factor)³
64/27 = (scale factor)³
We cube root both sides
cube root(scale factor)³ = cube root (64/27)
scale factor = (4/3)
Step 2
(Scale factor)² = S1/S2
S1 = Surface area of Pyramid A =?
S2 = Surface area of Pyramid B = 153 cm²
Hence,
(4/3)² = S1/153
16/9 = S1/153
Cross Multiply
S1 × 9 = 16 × 153
S1 = 16 × 153/9
S1 = 272 cm²
Therefore, the Surface Area of Pyramid A = 272 cm²
Answer:
The distance between foci is 60 feet
Step-by-step explanation:
we are given
a pond has a major axis of 68 feet
so, 
a minor axis of 32 feet
so, 
now, we know ellipse formula

where
c is the distance between center and focus
so, we can plug it and find c


Distance between foci is



Subtract 1/9 - 9 to isolate the x term on the left side