Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Vertical angles have the same measure
So, 2x will be equal to x+30
2x = x+30
x = 30
Answer:
56.52
Step-by-step explanation:
volume formula of cone-v=(1)/(3)\pi r^(2)h
v=(1)/(3) (3.14) (3)^(2) (6)
v=(1)/(3) (3.14) (9) (6)
v=(1)/(3) (169.56)
v=169.56 ÷ 3
v=56.52
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Answer:
Step-by-step explanation:
I think your question is missing key information and the one below is similar to yours. Hope it will find you well:
"Alex has a block of wood that is in the shape of a rectangular prism dimensions 70 cm by 50 cm by 30 cm. He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?
Here is my answer:
The volume of the rectangular prism: 70∗50∗30=105000 
The volume in the center (intersection of “square holes”): 10∗10∗10=1000
=> the volume of the remaining solid = The volume of the rectangular prism - The volume in the center = 105000 - 1000 = 104000
