Answer:
16 and 40
Step-by-step explanation:
Greater than 8,
The highest common factor is 8, the lowest common multiple is 80.
So, the two numbers are greater than 8, divisible by 8 ( highest common factor.)
The two numbers are 16 and 40.
Hope this helps plz mark brainliest :D
Answer:
FOR REGULAR PYRAMID with those dimension.
L.A = 96
FOR HEXAGONAL PYRAMID with those dimension
L.A = 171.71
Step-by-step explanation:
Please the question asked for L.A of a REGULAR PYRAMID, but the figure is a HEXAGON PYRAMID.
Hence I solved for both:
FOR REGULAR PYRAMID
Lateral Area (L.A) = 1/2* p * l
Where p = Perimeter of base
P = 4s
P = 4 * 6
P = 24cm
l = slanted height
l = 8cm
L.A = 1/2 * 24 * 8
L.A = 1/2 ( 192)
L.A = 96cm ^ 2
FOR AN HEXAGONAL PYRAMID
Lateral Area = 3a √ h^2 + (3a^2) / 4
Where:
a = Base Edge = 6
h = Height = 8
L.A = 3*6 √ 8^2 + ( 3*6^2) / 4
L.A = 18 √ 64 + ( 3 * 36) / 4
L.A = 18 √ 64 + 108/4
L.A = 18 √ 64+27
L.A = 18 √ 91
L.A = 18 * 9.539
L.A = 171.71
Answer:
Step-by-step explanation:
<em>Refer to attached picture</em>
Given rectangle ABCD. Its folded shape is given as well.
It has sides a and b and diagonal d, with the angle BCD marked as α.
We need to find the value of angle AOC or BOD.
This is going to be 2α, which is easy to find out. BOD is cut by the angle bisector, each of the angles is α.
Let the area of the rectangle is A, then the folded shape has area 2/3A.
<u>The area of rectangle ABCD:</u>
<u>From the triangle CBD we get:</u>
- a/d = sin α ⇒ a = d sin α
- b/d = cos α ⇒ b = d cos α
<u>Then</u>
- A = d sin α * d cos α = d²sin α cos α
Now, lets find the area of the folded shape.
It is the area of the rectangle minus the area of the triangle CMB as this part is lost as part of overlap.
<u>Area of the triangle:</u>
<u>Since h/(d/2) = tan α ⇒ h = 1/2d tan α, the area is:</u>
- A = 1/2d*1/2d tan α = 1/4d² tan α
<u>We have the difference of the areas which is 1/3 of the area of the rectangle:</u>
- 1/3(d²sin α cos α) = 1/4d² tan α
- sin α cos α = 3/4 tan α
- sin α cos α = 3/4 sin α / cos α
- cos² α = 3/4
- cos α = √(3/4)
- cos α = √3/2
- α = arccos (√3/2)
- α = 30°
<u>The acute angle formed by the two diagonals of the rectangle is:</u>
1.) - sqrt. 2 (which, in decimal, is about -1.4142…) , 0, sqrt. 5 (which, in decimal, is about 2.2360…) , 13/4
2.) -1.5, 3/4 (which, in decimal, is 0.75) , 3, sqrt 10 (which, in decimal, is about 3.1622…)
3.) -3/2 (which, in decimal, is -1.5), -3/7 (which, in decimal, is about -0.4285…) , 0.75, 2
Answer:
good luck tho oh and dont forget to tell me the answer
Step-by-step explanation: