Answer:
11.31
Step-by-step explanation:
<h3>given:</h3>
The diameter of the circle is 3.6 units.
<h3>to find:</h3>
Value of "a"
<h3>steps</h3>
Circumference of a circle in terms of radius:
Circumference = 2 · π · r = 2 · 3.14 · 1.8 = 11.31 (*)
In terms of diameter:
Circumference = π · d = 3.14 · 3.6 = 11.3 (*)
In terms of area:
Circumference C = √4·π·A = √4·π·10.18 = 11.31 (*)
Answer:
Quantity of solution B required is 300 ml
Step-by-step explanation:
Let "a" be quantity of solution A required
Let "b" be quantity of solution B required
We are given Solution A is 19% alcohol and Solution B is 14% alcohol and that the resulting mixture has 156 milliliters of pure alcohol
Thus;
0.19a + 0.14b = 156 - - - (eq 1)
Also, He uses twice as much Solution A as Solution B.
Thus;
a = 2b
Putting 2b for a in eq 1 gives;
0.19(2b) + 0.14b = 156
0.38b + 0.14b = 156
0.52b = 156
b = 156/0.52
b = 300 ml
Quantity of solution B required is 300 ml
We will say that d = 1 dozen. and y = cost
we know that 3 dozen is 48. so
3d = 48.
to get the cost of 1d, we have to get the 3 to change into a 1. the only way to do this is to divide 3 by 3. if we divided the left side by 3 we must also do the right so:
3d = 48
1d = 16
so 1 dozen = 16
to change 3d into 9d we have to multiply by 3. we again have to do this to both sides. so:
3d = 48
9d = 144
Answer:
8/12 or about 66%
Step-by-step explanation:
Total movies = 12
Comedies = 4
8/12
9514 1404 393
Answer:
∠KXN and ∠QXT
Step-by-step explanation:
The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.
Here, we'll refer to angle aXb as "ab".
NP = 95 -35 = 60
PQ = 35 -20 = 15 . . . not complementary to NP
__
KN = 165 -95 = 70
QT = 20 -0 = 20 . . . complementary to KN ⇒ your answer
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JK = 180 -165 = 15
PQ = 35 -20 = 15 . . . not complementary to JK
__
JK = 15
NK = KN = 70 . . . not complementary to JK
