Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
Answer:
0
Step-by-step explanation:
=>sec A cosec A - tan A - cot A
=>(1/sinAcosA)-(sinA/cosA)-(cosA/sinA)
You get the LCM as sinAcosA then it becomes
=>(1-sin^2(A)-cos^2(A)) /sinAcosA [1-sin^2(A)=cos^2(A)]
=>(cos^2(A)-cos^2(A))/sinAcosA
=>0/sinAcosA
=>0
The 2 is in the ten million’s place
35 necklaces multiplied by 4 weeks is 140. Multiply 140 by 15, representing the amount of money each necklace costs and you get 2,100. That is the total amount sold, but because the 6 costumers brought their necklaces back, you have to take 6 times 15 to see how much the total returned necklaces cost. That would be $210, so you take $2,100 and subtract $210, and your answer is $1,180. That is the final answer.
Answer:
- 18x - 9 = 72
- 3(6x - 3) = 72
- x = 45
Step-by-step explanation:
Apply the distributed property:
- Apply the distributed property: 3/5 × 30x = 18x, 3/5 × 15 = 9
- Re-write the equation: 18x - 9 = 72
- 18x - 9 = 72 is an option listed, so that's one of the answers.
See the other options:
- Another option that looks like it could be the answer is 3(6x - 3) = 72
- Apply the distributed property like we did above, so it now looks like this: 18x - 9 = 72
- This is the same as what we got above, so it is also an answer.
Solve:
- Add 9 to each side, so it now looks like this: 18x = 81
- Divide each side by 18 to cancel out the 18 next to x. It should now look like this: x = 4.5
- x = 45 is an option listed, so that's one of the answers.
I hope this helps!
