Answer:
the roots are {-4/3, 4/3}
Step-by-step explanation:
Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:
11=6|-2z| -5 becomes 16 = 6|-2z|.
Dividing both sides by 12 yields
16/12 = |-z|
There are two cases here: first, that one in which z is positive and second the one in which z is negative.
If z is positive, 4/3 = -z, and so z = -4/3, and:
If z is negative, 4/3 = z
Thus the roots are {-4/3, 4/3}
The arc length formed by the 2 radio is 15.24 yards
Step-by-step explanation:
Angle between the 2 radio = 45°
Radius = 64 yards
Arc length = (45/360) (2π) (64)
= (1/8) (2π) (64
= 16π
= 16(3.14)
=15.24 yards
The arc length formed by the 2 radio is 15.24 yards
Answer:
- The limits are 908.6 cm^3 and 1417cm^3
- 1337.0cm^3 is in between the limits
Step-by-step explanation:
To determine the limit by taking into account the range rule of thumb, you use the fact that the limits are given by the mean plus and minus twice the standard deviation, that is:
(1)
: mean of brain volume = 1162.8 cm^3
σ: standard deviation = 127.1 cm^3
You replace the values of the parameters in the equation (1):
Limits = (1417 , 908.6)
The limits are 908.6 cm^3 and 1417cm^3
1337.0cm^3 is in between the limits calculated above.
Answer:
x = 42.9 m
Step-by-step explanation:
Corresponding sides of similar triangles MAB and MNP are proportional. This means ...
x/MP = MA/MN
However, we don't have a number for MA yet, so we need to find it.
MA +AN = MN
MA = MN - AN subtract AN
MA = 67.2 m - 32 m = 35.2 m
Now, we can use this to find x.
x = MP · (MA/MN) = (81.9 m) · 35.2/67.2
x = 42.9 m
The correct answer is A) 2:3 because 4/6 simplified is 2/3
