Answer:
Option (D)
Step-by-step explanation:
Pythagoras theorem states,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(13)² = (5)² + (12)²
By the converse of Pythagoras theorem,
If we draw two sides 5cm and 12cm of a triangles with a right angle between them, third side 13 cm will fit to form a right triangle.
Therefore, Option (D) will be the answer.
9514 1404 393
Answer:
C)
Step-by-step explanation:
The table that has a constant ratio between y and x values is the one that represents a proportional relationship.
A) 2/4 ≠ 4/16
B) 1/1 ≠ 4/16
C) 6/8 = 12/16 = 18/24 = 30/40, a proportional relationship
Answer:
2x + y = 16
Step-by-step explanation:
In rectangle side AB and side CD are parallel, so the slope of both the lines will be same it means that they are parallel to each other.
slope of line AB:
slope of line CD = slope of line AB = -2
∴ equation of line CD:
Answer:
Lacrosse = 62 students
Swimming = 62 students
Soccer = 124 students
Football = 186 students
Step-by-step explanation:
Based on the information, we can draw some equations
<em>1.</em> Lacrosse = Swimming
<em>2.</em> Soccer = 2 * Lacrosse
<em>3.</em> Football = 3 * Swimming
<em>4.</em> Football + Soccer + Swimming + Lacrosse = 434
Lets solve for once sport at a time, I will start with Football.
I will put equation 1, 2 and 3 into equation 4
3Sw + 2L + L + L = 434
We can now again put equation 1 into the new equation 4
3L + 2L + L + L = 434
Simplify
7L = 434
L = 434 ÷ 7
L = 62 students
Since L = Sw, 62 students did swimming also
We can put L into equation 2 to solve for So
So = 2 * 62
So = 124 students
And now we can put Sw into equation 3 to solve for F
F = 3 * 62
F = 186 students
Answer:
The ML draw up = 1.2 ML
Step-by-step explanation:
we are told that concentration of Ceftriaxone = 1g/ 9.6ML
This means that:
9.6 ML contains 1g ceftriaxone
1g = 9.6 ML
note also that 1g = 1000mg
∴ 1000mg = 9.6 ML
∴ 1mg = (9.6 ÷ 1000) ML
1mg = 0.0096 ML
∴ 125 mg = 125 × 0.0096 = 1.2 ML
Therefore, 1.2 ML will be drawn up
