Answer:
in given triangle
applying Pythagoras theorem
(29)^2= (12)^2 + (x)^2
= 841= 144 + x^2
841-144 = x^2
697= x^2
x = square root of 697
x= 26.4
The answer you are looking for is:
+
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Answer:
Step-by-step explanation:
If there are options, please share them.
Subtract 7 from both sides. We obtain: -2x^2 + 3x - 3. The coefficients of this quadratic are a = -2, b = 3 and c = -3. Thus, the discriminant is
b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15. Because the discriminant is negative, this quadratic has two complex roots which differ:
-3 ± i√15
x = -----------------
-4
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.
<h3>What is the volume of a rectangular prism?
</h3>
The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:
V = lwh.
In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:
V = 3 x 4 x 14 x 8 = 1,344 in³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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