Answer:
96 one bedroom homes
64 two bedroom homes
32 three bedroom homes
Step-by-step explanation:
If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:
x + y + z = 192
x = y + z
x = 3z
Solve the system of equations using substitution or elimination. Using substitution:
x + x = 192
2x = 192
x = 96
z = x / 3
z = 32
y = x − z
y = 64
Since the triangles are similar the ratios of the lengths of corresponding sides are equal.
tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4
The answer is true. A conditional probability is a measure
of the probability of an event given that (by assumption, presumption,
assertion or evidence) another event has occurred. If the event of interest is
A and the event B is known or assumed to have occurred, "the conditional
probability of A given B", or "the probability of A in the condition
B", is usually written as P (A|B). The conditional probability of A given
B is well-defined as the quotient of the probability of the joint of events A
and B, and the probability of B.
Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure
.
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
we substitute as follows and solve:
Answer: 8.4 cm
