Answer:
a=21
b=69
c=42
d=138
Step-by-step explanation:
c is supplementary to d (which is 138), so c=180-138= 42.
angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.
angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.
Answer:
2/3
Step-by-step explanation:
Y varies directly as x
Y =kx
Y=6 when x = 72
First find the relationship between y and x.
i.e find the value of k
Substitute the value of x and y
6 = k *72
Make k the subject of the formula
K = 6/72
K= 1/12
:. The rlationship between x and y is
Y = 1/12x
When x is 8
Y = 1/12 * 8
Y = 8/12
Y = 2/3 and that is the answer
Hope it helped you
The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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The three inside angles of a triangle need to equal 180 degrees.
To find X subtract the two known angles from 180.
X = 180 - 45 - 70
X = 65 degrees.
