Answer:
52.6 mm
Step-by-step explanation:
split this figure and form one square and semi circle
for semicircle
radius = 4mm
find diameter
radius = diameter /2
4*2 = diameter
8 mm = diameter
now find perimeter of square
POS = 4l
=4*8
=32 mm
perimeter of semicircle= πr + 2r
=3.14^4 + 2*4
=12.56 + 8
=20.56 mm
area of the figure = perimeter of square + perimeter of semicircle
=32 + 20.56 mm
=52.56 mm
=52.6 mm
split ur figure as shown below
Answer:
The price of one cookie is $1.25 and the price of one cake is $15.
Step-by-step explanation:
Let $x be the price of one cookie and $y be the price of one cake.
1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,
2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,
3. Solve the system of two equations:
Multiply the first equation by 2 and the second equation by 5 and subtract them:
Then
Answer:
There is one extraneous solution at
The only solution is
Step-by-step explanation:
Given:
The equation to solve is given as:
In order to solve, we will first isolate the radical part.
<em>Adding -5 on both the sides, we get:</em>
<em>Now, squaring both the sides, we get:</em>
Now, let us check whether the calculated values satisfy the equations or not.
Plug in 4 and 7 for 'x' and check the value of the equation.
At ,
But, 6 is not equal to 4 and hence 4 is not a solution to the given equation. It is an extraneous solution for the given equation.
Now, at
Therefore, is a solution to the equation.
Hence, there is one extraneous solution at
The only solution is