Answer:
27°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 63° = 180°
x + 153° = 180° ( subtract 153° from both sides )
x = 27°
Step-by-step explanation:
a. We have v as the amount of drug(mg) in the blood at time t (hrs)
b. Flow rate in = k litre/he
For a circulatory system we have the flow rate in and flow rate out to be the same
Therefore,
Flow rate out = k litre/hr
concentration of drug going in = 0mg/litre
Concentration of drug going out = v mg/litre
V(0) = 20mg since 20mg was taken at midnight
V(0) = 20
Half life t1/2 = 36 hours
V(36) = v(0)/2
= 20/2
= 10mg
C. 
d. solution
v(0) = 20
c = 20
so
e.
we take log
please check attachment for answer f
Answer:
60 degrees
Step-by-step explanation:
First find angle I by using the sum of the angles in a triangle is 180 degrees
59+61+I = 180
120 + I = 180
I = 180-120
I =60
<I = <x since they are corresponding angles
<x = 60 degrees
Answer:
d=0.031746
Step-by-step explanation:
1. Add 4d to both sides: 3.2=2.3d+3+4d
2. Simplify 2.3d +3+ 4d to 6.3d+3: 3.2=6.3d+3
3. Subtract 3 from both sides: 3.2-3=6.3d
4. Simplify 3.2-3 to 0.2: 0.2-6.3d
5. Divide both sides by 6.3: 0.2/6.3=d
6. Simplify 0.2/6.3 to 0.031746: 0.031746=d
7. Switch sides: d=0.031746
Hope this helped!
Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
