Answer:
x < -11 or x ∈ (-∞, -11)
Step-by-step explanation:
4x + 6 < 3x - 5
<=> 4x - 3x < -5 - 6
<=> x < -11
Answer: $60.00
Step-by-step explanation: First the solution: (Start form the end!!) $40.00 (the ending total) minus the $10.00 he added on, $40-$10=$30 which is half of the original total so now you have to multiply by two to get the starting balance ($60.00)!
Now for the inequality, since we don't know the beginning balance of the gift card that will be our variable.
g
Then, since he spent half of this buying coffee we would have to split our variable in half.
g/2
After that, Peter added an additional $10.00 to said gift card.
g/2 + 10 = 40
Going off of that the final inequality would be $60.00 = g/2 + 10 = 40
BAMM!! GOOD LUCK IN MATH CLASS!!!
Answer:
105 = 100,000 x 6.78 = 678,000
Step-by-step explanation:
The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.
Which vertex will be in the top position of the regular decagon?
A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.
Now, the smallest angle of rotation will be the angle between the two sides of the decagon.
In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction, point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)
Learn more about decagon here:
brainly.com/question/27314677
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Answer:
surface area of the triangular prism
(8×6)+(15×10)+(15×6)+(8×15)
48+150+90+120
408 m²