The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters
<h3>How to determine the
lateral area?</h3>
The given parameters are:
- Base length (b) = 6
- Slant height (l) = 13
The lateral area is calculated using:
Lateral = 0.5 * (Perimeter of base) * Slant height
This gives
Lateral = 0.5 * (3 * 6) * 13
Evaluate
Lateral = 117
Hence, the lateral area is 117 square centimeters
<h3>How to determine the
surface area?</h3>
The surface area is calculated using:
Surface = l²√3
This gives
Surface = 13² * √3
Evaluate
Surface = 292.72
Hence, the surface area is 292.72 square centimeters
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Given :
A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall.
To Find :
How far out from the base of the wall should the ladder be placed.
Solution :
We know, the angle between floor and height is 90° .
Now, length of ladder, l = 2.8 m .
Height of wall, h = 2 m .
Let, distance between base of the wall and ladder is b .
Hence, this is the required solution.
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
_____
<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.
Answer:
-3
Step-by-step explanation:
if u need an explanation, reply and i'll give it to you. If not, have a good day :)
The coordinate grid of the ordered pair is gotten from the combination of the y and X axis of the graph.
<h3>Finding of the ordered pair</h3>
Using the coordinates, an ordered pair for the given point is:
- G = (4,3) because the 4 corresponds to the point in y axis and 3 on the X axis.
- H= (10,8) because the 10 corresponds to the point in y axis and 8 on the X axis.
- J= (6,4) because the 6 corresponds to the point in y axis and 4 on the X axis.
- K= ( 2,1) because the 2 corresponds to the point in y axis and 1 on the X axis.
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