Let
x-------> the first number
y-------> the second number
we know that
equation 1
equation 2
substitute the equation 1 in equation 2
![[-5-y]*y=-90 \\ -5y- y^{2} =-90 \\ y^{2} +5y-90=0](https://tex.z-dn.net/?f=%5B-5-y%5D%2Ay%3D-90%20%5C%5C%20-5y-%20y%5E%7B2%7D%20%3D-90%20%5C%5C%20y%5E%7B2%7D%20%2B5y-90%3D0)
using a graphical tool to resolve the second order equation
see the attached figure
the numbers are-12.3117.311
Answer:
(a) 3.8
Step-by-step explanation:
The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.
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<h3>compare angles</h3>
The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.
<h3>compare sides</h3>
Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.
EF > DE
EF > 3
Only one answer choice satisfies this inequality.
EF = 3.8
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<em>Additional comment</em>
If you want to do the actual computation, we have ...
EF/sin(D) = DE/sin(F)
EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828
EF ≈ 3.8
<span>250*(2*60)=30000
125*(3*60)=22500
22500+30000=52500
52500:((3+2)*60)=175 (</span><span>words per minute)</span>
Answer:
UV=142
Step-by-step explanation:
21x-13=10x+31
+13 +13
21x=10x+44
-10x=-10x
11x=44
÷11 ÷11
x=4
now substitute 4 in place of x (only have to solve one)
21(4)-13= 71
now multiply your answer by 2
71×2=142
Answer:
1/48
Step-by-step explanation:
1/4 of the cookies were Kim's
1/3 of that ( 1/3 x 1/4) were chocolate chips which is 1/12 of the total
1/4 of that ( 1/12 x 1/4) had nuts . which is 1/48 of the total
The fraction is 1/48
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-Chetan K
