Answer:
find b: since the triangle is right angle triangle apply the Pythagorean theorem
c²+b²=d²
b²=d²-c²
b²=16²-12²
b²=256-144
b²=112
<h2>b=√112 = 4√7</h2>
the sum of the angle of the triangle=180
( in top Δ abd ) sin Ф=opp/hyp
sinФ=b/d=4√7/16= √7/4 radian
convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees
<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>
find a=?? apply law of cosine
a²= d^2 + c^2 − 2dc cosA
a²=16² + 12²-2(16)(12)cos38
a =√(16² + 12²-2(16)(12)cos38)
<h2>a=9.87 rounded to the nearest hundredth</h2>
(i hope it is right )
1. The area is l * w, so just multiply 5x by 5x. Replacing x with 2.2 gets:
(5 * 2.2) * (5 * 2.2)
11 * 11
= 121
So, the area of the square when x = 2.2 centimeters is 121 sq cm.
2. The expression for this equation would be:
6(y + 4)
And using the distributive property on this to get the simplified expression, just multiply both y and 4 by 6.
6 * y + 6 * 4
6y + 24
So, your expression is 6y + 24.
3. For this one, let's make y's value 3.5 instead of 3 1/2 to make it easier to solve.
We just use the above expression to solve.
6 * 3.5 + 6 * 4
21 + 24
= 45
So, the area of the rectangle when y = 3 1/2 is 45 sq in.
4. For this last one, let's use the formula w = A/l to form an expression that will represent the width.
w = 8w + 18/2
Now, let's simplify it by dividing 8w and 18 by 2.
w = 8w/2 + 18/2
w = 4w + 9
So the expression to represent the width of the rectangle is 4w + 9.
Hope this helped!
Answer:
A prism has 5 sides, pyramids have 4 sides, the shapes of the sides of a pyramid are squares and triangles, the sides of a prism are rectangles and triangles, both are 3D
I hope this helps u pls give a brainliest and a thx ;)
1, 2, 3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30.
Answer:
Work done 
lb-ft
Step-by-step explanation:
The density of the chain in lb/ft is equal to
lb/ft
Total Work done is equal to the summation of work done up to the top of building.
We will use integration for this evaluation.
The mathematical relation is as follows
where "p" is the density
Substituting the given values, we get
Work done lb-ft
