Answer:
C
Step-by-step explanation:
Use the pythagorean theorom
a^2 + b^2 = C^2
convert so it goes to the problem
c^2 - a^2 =b^2
10^2 - 5^ = 100 - 25 = 75
srt. 75 = 5 sqrt.3
Answer:
The hypotenuse = leg 1 + leg 2
Hypotenuse = 10
Leg 1 = 5
Leg 2 = ?
10^2 - 5^2 = x
100 - 25 = 75
Answer = sqrt of 75
Y=x+10
Solve the system of equations below
The equations are as follows where x represents the number of minutes the cell phone is used.
For plan one: Total cost = $20 + $0.15x
For plan two: Total cost = $35 + $0.10x
For both the costs to be the same, we need to use the cell phone for
300 minutes.
Equations are relations showing the value of one quantity related to another quantity when it can change. The changing value is the variable.
We are informed that one cell phone plan charges $20 per month plus $0.15 per minute used. A second cell phone plan charges $35 per month plus $0.10 per minute used.
We are asked to write and solve an equation to find the number of minutes you must talk to have the same cost for both calling plans.
Let the number of minutes the cell phone is used be x minutes.
Now we solve for equations for both plans in the following way:-
Plan one:
Charges $20 per month plus $0.15 per minute used.
When the use is for x minutes, the additional charge = $0.15*x = $0.15x
∴ Total cost = Fixed cost + Additional cost
or, Total cost = $20 + $0.15x.
Plan two:
Charges $35 per month plus $0.10 per minute used.
When the use is for x minutes, the additional charge = $0.10*x = $0.10x
∴ Total cost = Fixed cost + Additional cost
or, Total cost = $35 + $0.10x.
We are asked to find the number of minutes used so that the costs in both the plans are equal. To find this we equate the equation of total costs in both the cases to get:
$20 + $0.15x = $35 + $0.10x.
Subtracting ($20 + $0.10x) from both sides of the equation, we get
$20 + $0.15x - ($20 + $0.10x) = $35 + $0.10x - ($20 + $0.10x).
or, $20 + $0.15x - $20 - $0.10x = $35 + $0.10x - $20 - $0.10x.
or, $0.05x = $15
Dividing both sides of the equation by $0.05, we get
$0.05x/$0.05 = $10/$0.05
or, x = 300.
∴ We must talk for 300 minutes for both the plans to cost the same to us.
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A. 5/7
B. 1/12
C. 1/30
D. 2/7
The probability that the marble drawn will not be orange is option(A)
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given,
Number of red marbles = 7 marbles
Number of orange marble =12 marbles
Number of yellow marble = 18 marbles
Number of purple marbles = 5 marbles
Total marbles = 7+12+18+5 = 42 marbles
Total marbles without orange marble = 7+18+5 =30 marbles
Probability = Number of favorable outcome / Number of total outcome
Probability that the marble drawn will not be orange =
Hence, the probability that the marble drawn will not be orange is option(A)
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this is a two question i am asking