Step-by-step explanation:
If the triangle is a right triangle, it will satisfy Pythagorean theorem.
c² = a² + b²
25² = 7² + 24²
625 = 49 + 576
625 = 625
Yes, the triangle is a right triangle.
Point slope form is
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.
Plugging in the given values:-
y - 1.4 = 1.8(x - (-4.5))
y - 1.4 = 1.8(x + 4.5) So the correct choice is A.
What is the number? With out the number, I don’t know
Answer:
The area of the shaded region is about 38.1 square centimeters.
Step-by-step explanation:
We want to find the area of the shaded region.
To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.
The given circle has a radius of 6 cm.
And the given sector has a central angle of 150°.
The area for a sector is given by the formula:
In this case, r = 6 and θ = 150°. Hence, the area of the sector is:
Now, we can find the area of the triangle. We can use an alternative formula:
Where a and b are the side lengths, and C is the angle between them.
Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.
And the angle C is 150°. Hence, the area of the triangle is:
The area of the shaded region is equivalent to the sector minus the triangle:
Therefore:
Use a calculator:
The area of the shaded region is about 38.1 square centimeters.
Answer:
Step-by-step explanation:
<em>See comment for complete question.</em>
The given information is represented in the attached figure.
First convert 22°8'6'' and 30° 40’ 30” to degrees
Considering Jason's position:
Where x = distance between the tree and Alison
Make H the subject
Considering Alison's position
Make H the subject
Open bracket
Collect Like Terms
Make x the subject
Substitute 104.76 for x in
The above represents the height of the tree.
The height of the owl is: