Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
C
Step-by-step explanation:
there is the ground line of about -5.5 to +5.5 = 11 ft.
then the 2 walls of 7 ft height = 14 ft.
that is already 25 ft.
the 2 roof sides are both a little bit longer than the corresponding ground line of 5.5ft.
so, estimated about 6ft per roof side. that adds 12 ft.
so, we are at about 37 ft.
and the closest answer is C. 36 ft.
in actual numbers a roof side is (using Pythagoras) :
roof side² = 2.5² + 5.5² = 6.25 + 30.25 = 36.5
roof side = 6.041522987... ft
so, the actual perimeter is
25 + 2×6.041522987... = 37.08304597... ft
Answer:
7. y=1/4x
8. 3 3/4
Hope this helps!
Step-by-step explanation:
Answer:
0.7325 to 5.6675 ug/dl
Step-by-step explanation:
The middle 90% will be 45% above the mean and 45% below the mean. This means
0.5-0.45 = 0.05 and
0.5+0.45 = 0.95
We use a z table. Look in the cells; find the values as close to 0.05 and 0.95 as we can get.
For 0.05, we have 0.0505 and 0.0495; since these are equidistant from 0.05, we use the value between them. 0.0505 is z=-1.64 and 0.0495 is z=1.65; this gives us z=-1.645.
For 0.95, we have 0.9495 and 0.9505; since these are equidistant from 0.95, we use the value between them. 0.9495 is z = 1.64 and 0.9505 is z=1.65; this gives us z = 1.645.
Now we use our z score formula,
Our two z scores are 1.645 and -1.645; our mean, μ, is 3.2; and our standard deviation, σ, is 1.5:
Multiply both sides by 1.5:
Add 3.2 to each side:
2.4675+3.2 = X-3.2+3.2
5.6675 = X
Multiply both sides by 1.5:
Add 3.2 to each side:
-2.4675+3.2 = X-3.2+3.2
0.7325 = X
Our range is from 0.7325 to 5.6675.
Answer:
∠AEC = 105°
Step-by-step explanation:
If two chords intersect each other in a circle then the vertical angles formed are equal.
In this question two chords AB and CD intersect each other at point E then ∠DEB and ∠AEC are vertical angles which are equal.
Therefore ∠DEB = ∠AEC
Here m∠DEB = 105°
Then m∠AEC = 105° ( by Theorem)
Therefore the correct answer is ∠AEC = 105°
