To rotate the figure 180 degrees, you would make it so all the points are:
(x,y) to (-x,-y)
Basically, you would switch every sign on the point.
(1,-1) -> (-1,1)
(3,-2) -> (-3,2)
(3,-4) -> (-3,4)
Those new points would be P'Q'R'.
Then when you reflect over the x-axis, you would flip every y sign.
(-1,1) -> (-1,-1)
(-3,2) -> (-3,-2)
(3,-4) -> (3,4)
You would chart those points as P"Q" R".
I hope this helps! (review my answers)
Sorry this took so long!
Answer:
9/81 or 1/9 = .1111111111R
Step-by-step explanation:
It is that because that is the decimal and 9 goes into 9 once and 9 goes into 81 nine times
Answer:
1.646×10¹¹ km³.
Step-by-step explanation:
From the question given, we obtained the following information:
Radius (r) = 3400 km
Volume (V) =.?
The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:
Radius (r) = 3400 km
Pi (π) = 3.14
Volume (V) =.?
Volume of a sphere = 4/3 πr³
V = 4/3 × 3.14 × (3400)³
V = 4/3 × 3.14 × 3.9304×10¹⁰
V = 1.646×10¹¹ km³
From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³
Solutions
Annie puts $10 into a vacation jar each week and we need to find out <span>how much will she have saved by the end of the year. To solve the problem first we have to find out how many days there are in a year and convert them into weeks.
Days in a year = 365
To find weeks divide by 7 since a week consists of 7 days.
365 </span>÷ 7 = 52
<span>
1 year has 52 weeks
our next step is to multiply 52 by 10.
52 x 10 = 520
By the end of the year she would have saved 520 dollars. </span><span />
We have the perimeter of a base P = 20".
We have five congruent rectangles that together form a large rectangle
20" × 6".
The Lateral Area:
L.A. = 20 in · 6 in = 120 in²