Answer:
D Antenna #4
Step-by-step explanation:
As per given graph we can write the function
- the intercept is zero, as x=0, y=0
- at x=2, y=30 ⇒ 30= 2*15
- at x=4, y=60 ⇒ 60= 4*15
The slope is 15, so the function is
And the function for the antenna revolving at twice the rate would be
Comparing data in given tables we can see it is D Antenna #4
- x= 22 ⇒ y= 22*30= 660
- x=24 ⇒ y= 24*30= 720
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
Answer:
5<4
Step-by-step explanation:
This inequality is not correct though.
5-7+7<-3+7
5<4
To find the same value as 3 x 1/10 you first have to solve 3 x 1/10
so how to do this is you have to make 3 into a fraction
so to make 3 into a fraction you can put 3 as the numerator and 1 as the denominator
so you multiply

so 3/10 has the same value as 3x1/10
HOPE THIS HELPS!!!