x = 10 divided by cos(75) = 38.637
rounded to 38.6
last one is the answer
Sam would have to get a 97 on his next test in order to maintain his average score at an 85. This is because if you add up 63, 84, 96, and 97 you get 340. When you divide 340 by the 4 test scores you get an average of exactly 85
20 / 1000 = 0.02
0.02 x 100 = 2
The answer is 2 percent.
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since 
, the length of segment 
is determined by Pythagorean Theorem, that is:
The length of segment AC is approximately 5.831 centimeters.
b) Since 
, the length of segment 
is determined by this Pythagorean identity:
The angle ACD is determined by the following trigonometric expression:
The angle ACD is approximately 34.448º.
