Answer:
A could be a possible answer actually
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
Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
A circle with a radius of 3 cm sits inside of a circle with a radius of 5 cm. What is the area of the Shaded Region?
The shaded region is the area outside the smaller circle and inside the larger circle
we know that
The area of the shaded region is equal to subtract the area of the smaller circle from the area of the larger circle
Remember that
The area of the circle is equal to
so
The area of the shaded region is
![A=\pi [r_1^2-r_2^2]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Br_1%5E2-r_2%5E2%5D)
where
substitute
![A=\pi [5^2-3^2]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B5%5E2-3%5E2%5D)
![A=\pi [16]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B16%5D)
assume
substitute
Answer:
14
Step-by-step explanation:
we can use sin(30⁰) to solve this and the units will be 14
Answer:
184 square inches
Step-by-step explanation:
Bases: 4 in × 5 in × 2 bases = 40 in²
Smaller pair of lateral faces: 4 in × 8 in × 2 faces = 64 in²
Larger pair of lateral faces: 5 in × 8 in × 2 faces = 80 in²
40+64+80=184 in²
The surface area of the box is 184 in² or 184 square inches.
