Answer:
<u>77</u> is the quotient of 1,078 and 14.
Step-by-step explanation:
quotient is the answer to a division problem.
numerator/denominator = quotient
1,078/14 = quotient
1,078/14 = <u>77</u>
Have a nice day!
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ
We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6
From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
Answer:
k= 15 every two months
Step-by-step explanation: so you started with 3 and you gained fifth teen in two months so every two months you will gain fifth teen mice.
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:

To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute
and
into the equation above:
Since
= -2 and
= -8 , after simplification we have:
The solution of this system is:
The general term is :

Answer:
Perimeter=22 m
Step-by-step explanation:
Perimeter Of A Figure
Perimeter is the distance measured around a shape. If the figure is line-shaped, the perimeter can be obtained by adding the individual lengths of each segment around the shape.
The figure shown is surrounded by line segments. We only have to add them all to find the perimeter. But we don't need each individual length to do so. We may notice the following (given all angles are right):
The sum of HG+FE+DC equals AB. So the upper and lower lengths are twice AB, or equivalently: 2*7 1/2 m =15 m
It can also be noted that AH+GF=BC+DE=2 1/4+1 1/4 = 3 1/2 m. It means that the two lateral lengths are twice this value: 2* 3 1/2 = 7 m
Thus, the total perimeter is 15 m + 7 m = 22 m