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Leya [2.2K]
3 years ago
13

V, N, and K are collinear with K between N and V. If NV= -11x+220, VK= 3x+6, and KN= 18x-10, solve for x

Mathematics
1 answer:
wolverine [178]3 years ago
6 0
NV=VK + KN \\  -11x+220= 3x+6+ 18x-10 \\ -11x + 220 = 21x - 4 \\ 220 = 32x - 4 \\ 32x = 224  \\ \\ \boxed { x = 7}
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The ratio
vaieri [72.5K]
1 : 100,000
Because there are 100cm in a m and 1000m in a km
100 x 1000 = 100,000
3 0
2 years ago
Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D
Ivahew [28]
Check the picture below.

\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D

\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D

7 0
3 years ago
A​ whale-watching tour boat cannot operate if the total passenger weight is more than 3 comma 150 comma 000 grams. What is the m
Andru [333]

Answer:

45

Step-by-step explanation:

7 0
3 years ago
11. A regular polygon has an interior angle sum of 1260°. Solve for n, the number of sides of the polygon.
bagirrra123 [75]

Answer:

Given sum of interior angles = 1260. n = 13.

Step-by-step explanation:

Therefore the number of sides = 13.

8 0
3 years ago
describe how to find the price of a blender 3 years from now the inflation is constant at 4% and the the blender costs 38$ today
Ludmilka [50]
FV =  PV / (1 +r)^n

Where FV = Future Value,  PV = Present Value, r = inflation rate in %,
n = number of years.

PV = $38, r = 4%, n = 3 years.

FV =    38 / (1 + 4%)^3

      =   38 / (1 + 0.04)^3

      =     38 / (1.04)^3 =    33.782

Hence the value 3 years from now = $33.78    
5 0
3 years ago
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