Blanche scale or just a scale of some sort
Answer:
1.4 cm²
Step-by-step explanation:
For this question, we can use formula - πr²(m/360). Here we are given m as 82 and r as 1.4cm. We can substitute values to get the area of the sector as approximately 1.4 cm²
Answer:
2.27%
Step-by-step explanation:
Lets start by making the names letters, J C and A respectively.
The total is 44 dollars. J paid 34%, which would be 14.96. He pays a total of $15. C paid 50%, which is 22 dollars. A pays 17%, which would be 7.48. She pays a total of $8.
15 + 8 + 22 = $45, meaning they paid an extra 1 dollar. One dollar is 1/44th of $44, or 2.27%.
Note: 2.27% is 2.272727272727 repeated, do what you will with that information, every site is different.
Draw a number line!
<________|_______________|_______|___________>
-5 0 2
The ones on the right are larger than the ones on the left. The two is the rightmost number, so it is the largest. Your inequality reads "-5 is less than 2" which is true. Therefore, you have a true inequality.
Well, to find the vertex of a quadratic, we have a few options. we can either complete the square, or solve for the x value of the vertex using a nifty equation. I'm gonna go that route, but if your interested in the complete the square thing I can show you.
Anyway, the x value of a vertex equals
x = -b/2a
assuming
f (x) = ax^2 + bx + c.
so b is the coefficient in front of just x and a the coefficient in front of x^2 and so on. let's solve for x in your problem.
y = 4x^2 + bx + c
so, our x value has to be
x = -b/2 (4) right? so how do we solve for b, which is what we wanna know, from that? well, we KNOW the x value is supposed to be -7 in this case. so that means...
-7 = -b/2 (4) now just solve for b.
b = 56 if you need the work I can show you in comments.
Anyway, now we know b. how do we solve for c? well, let's fill in our old equation with our new info.
y = 4x^2 + 56x + c
what do we know? well, we know the vertex of this line is (-7,6). what does this tell us? well, the vertex is a point on our line, so that means I could plug in my point, right?
6 = 4 (-7)^2 + 56 (-7) + c
if (-7,6) is a point on my line, ^^^ that will be true. now all you gotta do is solve for c. if you need the work, I can show ya in the comments.
c = -196
hope this helps!