Answer:
Please check the explanation.
Step-by-step explanation:
Let suppose we have a point P(x, y) if we rotate our point 90 degrees counterclockwise about the origin, the new coordinates of the image of the point P can be obtained by switching 'x' and 'y' and making 'y' negative.
In other words,
P(x, y) → P'(-y, x)
From the given triangle ΔRST,
The coordinates of the point S is:
According to the rule, if we have a point S(10, 1), after rotations of 90 degrees counterclockwise about the origin, the new coordinates of the image of the point S(10, 1) will be:
S(10, 1) → S'(-1, 10)
Here,
S'(-1, 10) is the image of the original point or pre-image point S(10, 1).
Therefore, the y-coordinate of the point S' is: 10
Answer: 13
Step-by-step explanation:
If the prior population proportion is unavailable then the formula to find the sample size is given by :-
, where z* = Critical z-value
E = margin of error
Let p be the proportion of Americans who support the gun control in 2018.
As per given , we have
Confidence level = 99%
The critical z-value for 99% confidence interval is 2.576 ( BY z-table)
Margin of error : E= 0.36
Since there no prior information about the proportion of Americans who support the gun control in 2018.
So , the required sample size to estimate 99% confidence interval would be:
Hence, 13 Americans should be surveyed.
It’s equal to 1/2 in simplest form
First do 3x3, which is 6.
Then do 1/2 x 1/2. Convert the 1/2's to .50's
Do .50 x .50. Start with 5 x 5, and get 25. Then move decimal 2 places over.
Now that you have 6 and .25, add them and get 6.25.
.25 as a fraction is, of course, 1/4
Your final answer should be 6 1/4
Answer:
we know that
[the lateral area of a right circular cone]=pi*r*l
where
r--------------> the radius of the circle part of the cone
l--------------> the side (slant height) of the cone
r=6 ft
h=8 ft
Step 1
find the slant height of the cone
which is determined by using Pythagoras, since the cross section is a right triangle.
l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft
Step 2
find the lateral area
[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²
the answer is 188.4 ft²
