Answer:
102°
Step-by-step explanation:
As the vertically opposite angles are equal,

Now let's solve for x now






Now let's find the value of KNL

Hope this helps you.
Let me know if you have any other questions ;-)
Answer:
$24,498,509.74
Step-by-step explanation:
The formula for the value as a function of time is ...
V(t) = P·e^(rt)
Filling in the numbers and doing the arithmetic, we have ...
V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74
Compounded continuously for 35 years, the investment will be worth $24,498,509.74.
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so
therefore
Molly needs to paint 228 square inches
<em>i hope this helps you</em>
Answer:
6
Step-by-step explanation:
Inverse proportion.
z = k/w
z = 3, w = 4
Solve for k constant.
3 = k/4
(4)3 = (4)k/4
12=k
The value of k constant is 12.
z = k/w
Put w as 2 and k as 12 and solve for z.
z = 12/2
z = 6
The value of z when w equals 2 is 6.
Answer:
there you go
Step-by-step explanation: