Answer: 3.9ft²
Step-by-step explanation:
Find the area of the rectangle first:
= Length * Width
= 2 * 1.5
= 3 ft²
Find the area of the semi-circle by finding the area of a circle and dividing it by 2:
= πr²
= 3.14 * 1.5/2 * 1.5/2
= 1.76625ft²
Divide by 2:
= 1.76625/ 2
= 0.88 ft²
Add the area of the rectangle to the semi-circle:
= 3 + 0.88
= 3.9ft²
Answer:
The wide of the city is 10.7km
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 115 km²
s = side
a = s * s
now we replace with the known values
115 km² = s * s
115 km² = s²
√(115 km²) = s
10.724km = s
Round to the nearest tenth
s = 10.724km = 10.7km
The wide of the city is 10.7km
Answer:
Step-by-step explanation:
A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape. When you perform translations, you slide a figure left or right, up or down
basically, everything is just moving around same distance and same direction
Answer:
Step-by-step explanation:
Given is a system of equations as
We have 5 variables and 3 equations
a) coefficient matrix of this system is
1 -4 0 -1 0\\
0 1 0 -2 0\\
0 0 0 1 2\\
We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as
1 -4 -1 0\\
0 1 -2 0\\
0 0 1 2\\
b) Augmented matrix is
1 -4 -1 0\\ 7
0 1 -2 0\\
3
0 0 1 2\\3
c) For row operations to ehelon form
we can do R1+4R2 = R1
We get
1 0 -9 0 \\ 19
0 1 -2 0 \\ 3
0 0 1 2 \\ 3
Now let us do R1 = R1+9R3 and R2 = R2+2R3
1 0 0 0 \\ 46
0 1 0 0 \\ 9
0 0 1 2 \\ 3
d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation
e) x1 = 46, x2 = 9, x4+2x5 =3
Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution
Simply divdie
8. 2/5= .4
9. 2/4= .5 TIP( think of quarters, two quarters=.5 or 0 cents)
10.9/10= .9