Answer:
10
Step-by-step explanation:
The first thing to do would be to find how many 1/4 cups are in the 1 cup. Divide 1 by 1/4 and you'd get 4.
Just multiply 2 1/2 by 4 and you get 10
Answer:
41
Step-by-step explanation:
putting x into the eqn
Formula of the Volume of a hemisphere:
V =
r³
144
=
r³
Multiply by 3 to cancel fraction in the right side
144
× 3 = 2
r³
432
= 2
r³
Divide by 2
on either sides to isolate r³
=
r³
2
and
cancel out
216 = r³
Take cube root to find the radius
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20)
=
![\sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
6 = r
Radius is 6 unitsThe formula of the surface area of a hemisphere is:
S.A = 2
r² +
r²
=
(6)² +
(6)²
=2
× 36 + 36
= 72
+ 36
= 108
units² (in terms of
)
≈ 339.12 units²
Surface area = 108 units
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
Answer:
Y=5
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html?q=2(y%2B3)%3D16
