Answer:
0.25 pounds of candy
Step-by-step explanation:
3.5 divided by 14 is 0.25
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
The angle which is coterminal with -60 between 0 and 360 is; 300°.
<h3>Which angle is coterminal with -60?</h3>
Since, it follows that the representation of the angle -60 corresponds to 60° span in the clockwise direction.
Therefore, by going the conventional anticlockwise direction, the angle which is coterminal with -60 is; 300°.
Read more on coterminal angles;
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Answer:
1+7+8+8
Step-by-step explanation:
Answer:
m∠SRT = 33° ∵ m∠QRT = m∠SRT
Step-by-step explanation:
Given the diagram,
RT bisects ∠SRQ, and m∠QRT = 33°
RT bisecting ∠SRQ means RT will bisect ∠SRQ into two equal angles, which are:
m∠QRT = m∠SRT
as
m∠QRT = 33°
so
m∠SRT = 33° ∵ m∠QRT = m∠SRT