Answer:
351.9 cm³
Step-by-step explanation:
The ratio of the areas of two similar solids is equal to the square of the ratio of the lengths.
A₂ / A₁ = (s₂ / s₁)²
The ratio of the volumes of two similar solids is equal to the cube of the ratio of the lengths.
V₂ / V₁ = (s₂ / s₁)³
Therefore, we can say:
V₂ / V₁ = (A₂ / A₁)^(3/2)
Plugging in values:
V / 8 cm³ = (324 cm² / 26 cm²)^(3/2)
V = 351.9 cm³
Right angles are usually always 90 degrees, then if you are looking at right triangles, you have 45,45,90 degree triangles and 30,60,90 triangles
Answer:
n = 6
Step-by-step explanation:
Givens
r = 4
a = 2
Sum = 2730
Equation
Sum = a(1 - r^n)/(1 - r)
Solution
2730 = 2 (1 - 4^n) / (1 - 4) Reduce the denominator
2730 = 2(1 - 4^n)/-3 Multiply both sides by -3
2730*-3 = 2(1 - 4^n) Simplify the left
-8190 = 2(1 - 4^n) Divide by 2
-8190/2 = 1 - 4^n Simplify
-4095 = 1 - 4^n Subtract 1 from both sides.
-4096 = - 4^n Divide by - 1
4096 = 4^n This looks like n is fairly large. You could use logs. Try n = 6.
4^6 does equal 4096 So your answer is 6.
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Let's try it with logs. Ignore this if you don't know how to do this.
log(4096) = log(4)^n
log(4096) = n*log(4) Divide by log 4
log(4096)/log(4) = n
3.6124 / 0.6021 = n
n = 6
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The hint is very helpful. Make sure you can follow it through
Answer:
Step-by-step explanation:
As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.
∠C = ∠A = 56°
B = 180 - 2(56) = 68°
Answer:
16!
Step-by-step explanation:
10 for a day, 2 per hour x3 bc she had it for 3 hours so 16
