Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7
We are trying to find the number that when added to 19, gives us less than 42. We can set up this simple inequality:
19 + x < 42
Now, subtract 19 from both sides:
x < 23
Our number can be anything less than 23.
Answer:
484 feet maximum
Step-by-step explanation:
H(t)=-16t^2+112t+288
The maximum height occurs at the vertex of this graph.
Let us find the vertex.
vertex x-coordinate = -b/2a
x = -b/2a = -(112)/ (2*-16) = 7/2 sec.
H(7/2) = - 16 *(7/2)^2 + 112*(7/2) + 288
H(7/2) = -196 + 392 + 288 = 484 feet ..
Answer: 5/10
Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.
Step-by-step explanation:
Using Binomial Expansion,
(x + y)³
= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.
Therefore the coefficient of xy² is 3C2 = 3.
