Answer:
<em>∠I ≈ 53.13°</em>
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Step-by-step explanation:
It can be seen from the figure that IP is perpendicular to KP
=> So that IPK is the right-angled triangle with angel IPK equal to 90°
In a right-angled triangle, there is a formula as following:
<em>+) sin of an acute angel = length of opposite side/ length of hypotenuse</em>
In triangle IPK, ∠I is an acute angel, its opposite side is KP.
The hypotenuse of triangle IPK is IK
So that, we have:
<em>+) sin ∠I = KP/ IK = 8/10 = 0.8 </em>
<em>=> ∠I ≈ 53.13°</em>
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Answer:
108
Step-by-step explanation:
Answer: The correct equation is r + 4 = 12 and the correct answer is, r = 8
Step-by-step explanation:
Here r represents the remaining roses she has when she lost 4 flowers,
Thus, the total number of flower she has = r + 4
But, the initial number of roses = 12
Therefore, r + 4 = 12
Which is the required equation for finding the remaining flowers.
Also,
⇒
⇒
Which is the required number of the remaining flowers.
⇒ Second Option is correct.
Answer:
.
Step-by-step explanation:
A line that goes through and where would have a slope of .
The slope of the line that goes through and would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is .
Thus, if and denote the slope of the first and second lines in this question, since the two lines are perpendicular to one another. Since , the slope of the first line would be:
.
Given that the first line goes through the point , the point-slope equation of that line would be:
.
.
Substitute in to find the -coordinate of the point in question:
.