Answer:
17. Scale Factor is 3:1
18. Scale Factor is 1:3
Step-by-step explanation:
Scale Factor: In two similar shapes, the ratio of their corresponding sides is called scale factor.
17. Give the scale factor of Figure A to Figure B
Figure A has sides:
Hypotenuse = 15
Perpendicular = 12
Base = 9
Figure B has sides:
Hypotenuse = 5
Perpendicular = 4
Base = 3
So, if we divide all sides of figure A by 3 we get Figure B
So, Figure A : Figure B
3:1
18. Give the scale factor of Figure B to Figure A
Figure B has sides:
Hypotenuse = 5
Perpendicular = 4
Base = 3
Figure A has sides:
Hypotenuse = 15
Perpendicular = 12
Base = 9
If we multiply 3 with the sides of Figure B we can get the sides of Figure A.
So scale factor is 3.
So, Figure B : Figure A
1:3
Let's start with saying he earned 2766.79. He he also earns 9% of his sales.
9% of something is just .09 multiplied by that something. So if he earns 9% of 3743.37 plus the 2766.79, then we can say
y= 0.09 * 3743.37 + 2766.79
y = 3,103.69
If you mean the equation 1/5 (5x +12) =18 then your answer would be x=15.6 or in the exact form of 78/5
Explanation : Start off with distributive property 1/5•5x and 1/5 •12, your equation should end up with 1x +2.4 =18 continue by using the 2.4 and doing the opposite, you will have 1x+2.4-2.4=18-2.4, after calculation you will have 1x=15.6 ,you can finish there or you can divide the 15.6 by one witch is still 15.6 , therefore getting your answer that is x=15.6
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
676 - 178 is 498.
498/2 is 249.
There were 249 bike riders and (249 + 178) hikers.
