Answer:
30
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
cos theta = adjacent/ hypotenuse
cos ? = 52/ 60
Take the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 52/60)
? =29.92643487
To the nearest degree
? = 30
Answer:
x=7
Step-by-step explanation:
4(2x-3) = 6x+2
8x-12 = 6x+2
2x = 14
x=7
Answer:
56 is: The sum of the first six triangular numbers (making it a tetrahedral number). The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. The sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17)
Step-by-step explanation:
hope this helps:) mark me brainliest if you want !!
Answer:
33 1/3 percent smaller
Step-by-step explanation:
The number a exceeds the number b by 50 percent.
a = b + b*.5
a = b(1.5)
Divide by 1.5
a/1.5 = b
2/3a =b
We want to find (a-b)/a to find the percent decrease
(a-2/3a)/a *100percent
(1/3a)/a* 100 percent
1/3 * 100 percent
33 1/3 percent smaller
Answer:
Mr. Winking 87.9%
Ms. Sand 88.55%
Ms. Sand's class is better
Step-by-step explanation:
Step 1: Average in Mr. Winking's Class 87.9%
Convert each weight factor to a decimal.
Homework 10% = 0.1
Quiz 25% = 0.25
Test 45% = 0.45
Exam 20% = 0.2
Multiply your grades by the weight factors:
Homework 0.1 X 95% = 9.5%
Quiz 0.25 X 85% = 21.25%
Test 0.45 X 87% = 39.15%
Exam 0.2 X 90% = 18%
Add all of these values:
9.5% + 21.25% + 39.15% + 18%
= 87.9%
Step 2: Average in Ms. Sand’s Class 88.55%
Convert each weight factor to a decimal.
Homework 15% = 0.15
Quiz 20% = 0.2
Test 40% = 0.4
Exam 25% = 0.25
Multiply the weight factors by your grades:
Homework 0.15 X 95% = 14.25
Quiz 0.2 X 85% = 17
Test 0.4 X 87% = 34.8
Exam 0.25 X 90% = 22.5
All all these values:
14.25 + 17 + 34.8 + 22.5
= 88.55%
Step 3:
I would rather be in Ms. Sand's class. My average in her class would be 88.55%, whereas in Mr.Winking's Class, my average would be 87.9%. 88.55% is a higher mark than 87.9% and I want higher marks. Therefore, I would get higher marks in Ms. Sand's class.