Answer: The numbers are -3 and 2
Step-by-step explanation: Let x be the first number and y be the second number
then according to given statements the linear equations will be:
"Four times a number minus twice another number is -16"
"The sum of the two numbers is -1"
From equation 2:
Putting y = -x-1 in equation 1
Subtracting 2 from both sides
Dividing both sides by 6
Putting x = -3 in equation 2:
Hence,
The numbers are -3 and 2
Answer:
- EF = 4.1
- DE = 9.1
- m∠F = 66°
Step-by-step explanation:
The hypotenuse and one acute angle are given. The relevant relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
For the given triangle, these tell us ...
sin(24°) = EF/DF = EF/10
EF = 10·sin(24°) ≈ 4.1
and ...
cos(24°) = DE/DF = DE/10
DE = 10·cos(24°) ≈ 9.1
The remaining acute angle is the complement of the given one:
F = 90° -D = 90° -24°
∠F = 66°
The volume of a rectangular prism is given by the multiplication of its three dimensions: if 
are the width, height and length of the prism, the volume is
So, in your case, you have
<span>2 13/20, that should work</span>
