So, an isosceles triangle has 2 equal sides, we will call them x.
The base can be modeled by 3+x
So, the perimeter is equal to x + 3+x + x
So
15.6 = 3x + 3
12.6 = 3x
4.2 = x
So, the lengths of the sides are 4.2, 4.2, 7.2
<h3>Simplifying
</h3>
5.5 + -1x = -4.5 + -1x
<h3>
Add 'x' to each side of the equation.
</h3>
5.5 + -1x + x = -4.5 + -1x + x
<h3>
Combine like terms: </h3>
-1x + x = 0
5.5 + 0 = -4.5 + -1x + x
5.5 = -4.5 + -1x + x
<h3>
Combine like terms:</h3>
-1x + x = 0
5.5 = -4.5 + 0
5.5 = -4.5
<h3>
Solving:
</h3>
5.5 = -4.5
<h3>
This equation is invalid, the left and right sides are not equal, therefore there is no solution.</h3><h3 />
Hope this helps!
You fill the 3 gallon jug up completely, then you pour that into the 5 gallon bucket. Then you fill up the 3 gallon jug again, and pour as much as you can into the 5 gallon bucket until it is full. You should then have 1 gallon of liquid left in the 3 gallon jug, and the 5 gallon bucket would be full. I hope that makes sense!
Answer:
Figure 1's surface area: 550 
Figure 2's surface area: 530 
Figure 3's surface area: 790 
So, the order of the figures' surface areas is: Figure 2 < Figure 1 < Figure 3.
Step-by-step explanation:
Bearing in mind that the surface area of a 3D object is the total area of its surface (that is the sum of the areas of its faces), we can count the number of distinct shapes in each figure, calculate their areas and add them up. Be careful not to add the faces that are "inside".
<u>Figure 1</u>
Its surface area consists of 13 squares of 5x5
and 3 rectangles of 15x5
. So, its surface area is (13x25 + 3x75)
<u />
<u>Figure 2</u>
Its surface area consists of 6 squares of 5x5
, 3 rectangles of 17x5
, 1 rectangle of 13x5
and 2 triangles of base 12 feet and height 5 feet. So, its surface area is (17x5x3+6x5x5+13x5+12x5x2:2)
<u />
<u>Figure 3</u>
Its surface area consists of 2 rectangles of 12.5x5
, 1 rectangle of 11x5
, 2 triangles of base 12 feet and height 5 feet, 1 rectangle of 11x13
, 2 rectangles of 12.5x11
and 1 rectangle of 12x11
.
So, its surface area is (2x12.5x5+11x5+2x12x5:2+11x13+2x12.5x11+12x11)
<u />
<u />
<u />
Answer:

Step-by-step explanation:
The area of a circle is given by :

Where
r is the radius of the circle.
If we talk about the area of half of the circle, it means we have to half the area such that,

Hence, this is the required solution.