Answer:
The correct range is thus;
(-6,-12,-9)
Step-by-step explanation:
Here, we want to get the range given the domain
we simply make a substitution of the domain in the equation so as to get the range
So let us substitute the value of the domain one after the other
f(3) is 3-9 = -6
f(-3) = -3-9 = -12
f(0) = 0-9 = -9
Answer:
14.4 fl ounces
Step-by-step explanation:
60% of 24 is 14.4
Pythagorean theorem
The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).<span>GeometryProjecting a sphere to a plane.<span>OutlineHistory</span>Branches[show]<span>ConceptsFeatures</span>[hide]DimensionCompass-and-straightedge constructions<span>AngleCurveDiagonal<span>Orthogonal(Perpendicular)</span>ParallelVertex</span><span>CongruenceSimilaritySymmetry</span>Zero / One-dimensional[show]Two-dimensional[show]Three-dimensional[show]Four- / other-dimensional[show]Geometersby name[show]by period[show]<span> Geometry portal</span><span>vte</span></span>
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":<span>[1] Google says</span>
Answer:
The "width of the rectangular window" of the Jim's bedroom is closest to the height of the window
Step-by-step explanation:
Given:
Width of the rectangular window in Jim's bedroom = 36 inches
diagonal of the window in Jim's bedroom = 44 inches
To Find:
Measurement is closest to the height of the window = ?
Solution:
Let us consider one half of the reactangle. refer the diagram.
Now we can use Pythagorean theorem to find the third sde of the triangle
![a^2 +b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2Bb%5E2%20%3D%20c%5E2)
here
a= 36
b = x
c = 44
![(36)^2 +x^2 = (44)^2](https://tex.z-dn.net/?f=%2836%29%5E2%20%2Bx%5E2%20%3D%20%2844%29%5E2)
![x^2 = (44)^2 -(36)^2](https://tex.z-dn.net/?f=x%5E2%20%3D%20%2844%29%5E2%20-%2836%29%5E2)
![x = \sqrt{1936-1296}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B1936-1296%7D)
![x = \sqrt{640}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B640%7D)
x = 25.29
x= 25.3 (approx)
Height of the rectangle is 25.3 inches.
Step-by-step explanation:
4 x 6 = 24 (side1)
8 x 4 = 32 (side2)
6 × 8 = 24 (side3)
6 x 8 = 24 (side4)
![{6}^{2} + {8}^{2} = 100](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%7B8%7D%5E%7B2%7D%20%20%3D%20100)
![\sqrt{100} = 10](https://tex.z-dn.net/?f=%20%5Csqrt%7B100%7D%20%20%3D%2010)
4 x 10 = 40 (side5)
surface area = 24 + 32 + 24 + 24 + 40 = 144ft squared