tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.
so a 57" TV has a 57" diagonal.
Check the picture below.
![\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Blength%7D%7B4%5Cleft%28%20%5Ccfrac%7B57%7D%7B5%7D%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B228%7D%7B5%7D%5Cimplies%2045%5Cfrac%7B3%7D%7B5%7D~%5Chfill%20%5Cstackrel%7Bwidth%7D%7B3%5Cleft%28%20%5Ccfrac%7B57%7D%7B5%7D%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B171%7D%7B5%7D%5Cimplies%2034%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7BArea%7D%7B%5Ccfrac%7B228%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B171%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B38988%7D%7B25%7D%5Cimplies%201559%5Cfrac%7B13%7D%7B25%7D)
The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
The volume is area of the base times height, and the base is a triangle.
Find the area of the triangle and multiply by the height of the prism.
V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle
V = AH
V = (1/2)bhH
V = (1/2) * 9 ft * 7 ft * 15 ft
V = 472.5 ft^3
Answer:
70°
Step-by-step explanation:
Since ∠BCA is supplementary with the 110° angle shown on the other side, ∠BCA = 180° (The measurement of a straight line) - 110° = 70°.
~Hope this helps!~
Given:
The angle of H=90°, HF=91 feet, and GH = 50 feet.
The objective is to find the measure of angle<em> F.</em>
In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.
The trigonometry formula which relates with the opposite and adjacent side is,

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

Hence, the value of angle <em>F</em> is 29 degree.
Answer:
The correct answer is D. 3x² - x + 3
Step-by-step explanation:
4x² - x + 6 - (x² + 3)
= 4x² - x² - x + 6 - 3
= 3x² - x + 3