The sum of the three angles of a triangle is always 180°. Tha is
(first measure) + (second measure) + (third measure) = 180°
Subtract the first two terms of this equation and you have
(third measure) = 180° - (first measure) - (second measure)
a. third measure = 180° - 45° - 55° = 80°
b. third measure = 180° - 50° - 40° = 90°
c. third measure = 180° - 110° - 35° = 35°
Answer:
1/221
Step-by-step explanation:
There are 4 kings in a standard deck of cards
P( one king) = number of kings/ number of cards
4/52
= 1/13
Then we do not put the card back. Now we have 3 kings and 51 cards
P(2nd king) = number of kings/ number of cards
=3/51
=1/17
We need to multiply these together
P( one king, 2nd king without replacement) = 1/13*1/17 = 1/221
Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
Answer:
11(9 - 2) - 3
Step-by-step explanation:
This is how you write the expression.
Three less means we have a -3.
11 times the sum of 9 - 2 means we have 11(9 - 2)
We put these together to get:
-3 + 11(9 - 2)
Or we can simplify it to:
11(9 - 2) - 3
Answer:
$40
Step-by-step explanation:
100% just means the whole, so 100% of $40 is $40.
