Answer:
53 1/3% for the first answer, and 33 1/3% increase for the second answer
Step-by-step explanation:
Ok, lets start up witht eh first question.
We need to find the percentage of studens that find math the be their favorite subject in elementary school.
We know that there are 15 kids in total.
We specificly see that 8 of those kids like math the most.
To find percentage, divide 8 by 15.
Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.
Next we need to find the percentag eof change that history is over elementary school to high school.
This might sound confusing, but this is basically just a change of 3 students to 4 students.
To find percentage, just divide 3 by 4:
This gets you 33 1/3%
Hope this helps!
K is equal to three because it shifted three units up from the parent function
Step-by-step explanation:
Lets assume that angle of right angle trangles are <a,<b and <c
here one of the angle is 90°
so, <a=90°
now,
By the question
<c=3×<b+14
again,
<a+<b+<c=180° (being sum of interior angles of trangles)
90°+<b+(3×<b+14)=180° ( including the value of <a and <c)
90°+<b+3<b+14=180°
4<b=180-90-14
<b=86/4
<b=19°
<c=3×<b+14
=3×19+14
<c=71
smallest angle is 19°
and another small angle is 71°
Answer:
Step-by-step explanation:
Hope this helps!
Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
