Answer: Sin N = 
Step-by-step explanation:
Since we have given that
In triangle MPN, ∠P=90°
As we know the formula for "Trigonometric Ratios":
By Pythagorus theorem , we get
So, we get,
Hence, Sin N =
(210+200+190+180+300+150+90+x)/8=200
(1320+x)/8=200 /*8
1320 +x=1600
X=1600-1320
X= 280
<h3>The base area of box 1 is
</h3>
<em><u>Solution:</u></em>
Given that,
The dimensions of the base of Box 1 are x by 3x
Length = x
Width = 3x
To find: base area of box 1
<em><u>The base area is given as:</u></em>
Thus base area of box 1 is
Answer:
<h2>
1,000,000 mm:1 km</h2>
Step-by-step explanation:
This problem bothers on the conversion of units
to get the scale we need to know how many millimetres are there in one km.
Hence the scale is 1,000,000 mm:1 km
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
_____
Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
