Answer : The correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
Step-by-step explanation :
As we know that there are three types of triangle.
(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.
(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.
(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.
Now we have to determine the length DF.
using Pythagoras theorem:
The length DF = 8.06 unit
So, we can say that:
DE + EF > DF
Hence, from the given options we conclude that, the correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
Cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
Answer:
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.
Step-by-step explanation:
1. The closed dot means the number is equal to and the open dot means the number is less/ greater than
2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8
3. The line goes left from the 11 with an open dot, making x less than ll
4. This means the number must be equal to or greater than 8, and less than 11
The scientist that made a more concentrated salt solution is scientist A.
<h3>How to compute the value?</h3>
Since Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. The concentration will be:
= 1/3 = 0.33
Scientist B dissolved 2.0 pounds of salt into 7.0 pints of water. The concentration will be:
= 2/7
= 0.285
Therefore, the scientist that made a more concentrated salt solution is scientist A.
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Answer:
m = 3/2
Step-by-step explanation:
Use the slope formula: (y2 - y1) / (x2 - x1)
