Answer:
7√2
Step-by-step explanation:
Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7, you can find the length of b with:
7 / b = sin(π / 4)
7 / (sin(π / 4)) = b
b = 7 / (1 / √2)
b =7√2
A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:
a² + 7² = b²
Since we know a = 7,
7² + 7² = b²
b = √(2 * 49)
b = 7√2
Answer:
The value of X<em> </em>is 6.
Step-by-step explanation:
5 + 3 + 7 + 9 = 24
30 - 24 = 6
X = 6
The difference is 6.
For number 19:
"at least 150" means either 150 ≤ ? or ? ≥ 150
plus 3 so +3x
The answer would be 150 ≤ 100 + 3x
Number 20:
A is at -2.5. The inverse is the opposite so 2.5
Answer:
y=-2x-13
Step-by-step explanation:
y-y1=m(x-x1)
y-(-13)=-2(x-0)
y+13=-2x
y=-2x-13
Answer:
P(B and B) = 1/9
Step-by-step explanation:
There are 4+3+5 = 12 tiles in total
The probability of selecting a B would be 4/12=1/3
When you are replacing a B tile, planning to pick a B tile again, the total tile count doesn't change. Therefore, because the two events are independent, their probabilities are multiplied and so P(B and B) = P(B) * P(B) = 1/3 * 1/3 = 1/9
