Answer:
506.7 cm²
Step-by-step explanation:
The amount of cardboard needed would be the surface area of the cone,
S= pi(r)(l+r) where r is the radius and l is the slant height.
You can find l using the Pythagorean theorem. l²=r²+h² which is l²=6²+20² and you get l = √436.
Plug r and l into the equation: S = 6pi(√436 + 6) = 506.7 cm²
Let me know if you have any questions about my steps!
Answer:
1626.24
Step-by-step explanation:
You need to take the sample(2541) and divide it by the percentage so you would do 2541 x .64 =1626.24
Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.
If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.
Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).
If RT is 4, then RQ must also be 4.
Answer: x = 4
Hope this helps!
6 math books would be 126
5 English books would be 150
126+150=276
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: 
.
Here, when we use the Law of Sines, we have: 
.
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin (
):
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
