75/10 is 7.5 as a fraction
See the picture to better understand the problem
we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft
the answer is181.14 ft
Correct answer: A) A = the card is red, B = the card is black
Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.
Each die has six numbers, the total number of possible combinations is 6 * 6 = 36
The combinations in which you can get a sum of 5 are: 1 &4, 2 & 3, 4 &1, 3 &2
There are 4 different combinations of getting a sum of 5.
The probability would be 4/36, which reduces to 1/9
#25.
Convert the fractional numbers into decimals for easier comparison.
3 2/3 is approximately 3.66
-4 2/5 is approximately -4.4
We now have: 3, 3.66, -4.2, -4.4
In order: -4 2/5, -4.2, 3, 3 2/3
#26.
All positive numbers are greater than negative numbers.
When comparing two negative numbers, the one with the larger absolute value, will be less.
So (G) is correct
#27.
25 = m + 6.3
25 - 6.3 = m + 6.3 - 6.3
m = 18.7
#28.
h = 3.2-1.6 = 1.6
#29.
x = 15.6 - 9.8 = 5.8
#30
p = 17 - 4.5 = 12.5
