V = pi*r^2*h
V = 490
h = 10
490 = pi*r^2*10
r = 3.95
Answer:
y = 3/2x by making use of angle relationships in triangles
Step-by-step explanation:
Here's one way to solve it.
∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:
∠ADE = 2x° +y°
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If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:
∠AGE = ∠GAD +∠GDA
3y° = x° +(2x° +y°)
2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °
y = (3/2)x . . . . . . . . divide by 2
In the point-slope form of a line, (y-y1)=m(x-x1)
'm' represents the slope of the line.
(x1,y1) represents a given point on the line.
(x,y) represents any point on the line.
The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.
A straight line is represented using its slope and a point on the line using point slope form. This means that the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1,y1).
The point slope form's equation is (y-y1)=m(x-x1), where (x, y) is a randomly chosen point on the line and m is the slope.
Learn more about point-slope form here:
brainly.com/question/6497976
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These are
five questions and five answers:
<span>I attache a
pdf file with drawings for each question showing the answer and below the explanation for each drawing.
1. Suppose that a triangle and a rectangle lie in a plane. What is the greatest number of points at which they can intersect?Answer: 6.Because one line of the triangle can intersect maximum two lines of the rectangle, which makes two intersection points.
So, the maximum number of possible intersections is when you arrange the triangles so that its three lines intersect three different lines each.
See the attached picture.
2. Suppose that a circle and a square lie in a plane. What is the greatest number of points at which they can intersect?Answer: 8.The attached figure shows a circle and a square with 8 intersection points.
That is the maximum number of points at which a circle and a square in a plane can intersect: each line of the square intersect two different points of the circle.
3. Suppose two distinct triangles lie in a plane. What is the greatest number of points at which they can intersect?Answer: 6See the image attached.
Each line of a triangle intersect one different line of the other triangle in two different points.
4. Suppose that a circle and a triangle lie in a plane. What is the least number of points at which they can intersect?Answer: 0You can draw two figures that do not intersect each other. See the picture attached.
5. Suppose two distinct squares lie in a plane. What is the least number of points at which they can intersect?
Answer: 0As you can see the figure attached you can draw two different squares which to not intersect each other.
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