The TV is 45 inches tall.
Step-by-step explanation:
The diagonal length of television = 53 inches
Width of TV = 28 inches
As TV is in rectangular or square shape, a diagonal will form a right triangle
Where,
Diagonal = hypotenuse = c = 53 inches
Width = base = b = 28 inches
Length = perpendicular = a
we will use pythagorean theorem to find the length.

Taking square root on both sides

The TV is 45 inches tall.
Keywords: triangle, square root
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Answer:
48
Step-by-step explanation:
5 60
-- = ----
4 x
5x= 240
--- ------
5 5
x=48
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer: 2.5 mL
Step-by-step explanation:
Given : A patient is given a solution containing 0.625 g of calcium carbonate.
i.e. Patient required calcium carbonate = 625 mg [∵ 1 g = 1000 mg]
Let x be the amount of solution ( in millimeters) given to the patients.
Ratio of amount of calcium carbonate (mg) to amount of solution (ml) =
If the calcium carbonate solution contains 1250 mg per 5 mL,
Then, Ratio of amount of calcium carbonate to amount of solution =
By using proportion we have :-

Hence, 2.5 mL solution were given to the patient.
It would be between 2 and 3 on the number line