Answer:
p = 7.2
q = 6.4
Step-by-step explanation:
if the triangles are similar then the side lengths must be proportional :
AC/BA = CD/BE
9/5 = p/4 cross multiply expressions
5p = 36 divide both sides by 5
p = 7.2
same goes for q
9/5 = (q+8)/8 cross multiply expressions
72 = 5(q+8) divide both sides by 5
14.4 = q+8 subtract 8 from both sides
6.4 = q
Answer:
22.4722
Step-by-step explanation:
To answer this question we need to use the distance formula. The distance formula is as follows:
Now, let's identify what each variable is:
x2 = 13
x1 = -8
y2 = -1
y1 = 7
Next, let's put these into the equation:
Time to solve the equation:
Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
x=65
Step-by-step explanation:
130+75+90+x=360
add 130 75 and 90 together to simplify
295+x=360
subtract 295 by both sides to isolate x
x=65
hope that helped!
The ways can the jazz band be selected so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .
Step-by-step explanation:
Let's first do the math with only the trumpet,drummer and saxophonists player.
There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:
T
1
D1S1
T
1
D2S2
and so on
So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.
It would be the product of
4T2, 12D5 and 7S3
That is 6*792*35=166,320
Answer:
Option b.
y = 4 sin (3x)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The period is
T = 2π/3
This means the frequency in radians is
W = 2π/T = 3
The equation is either:
y = 4 cos(3x)
y = 4 sin (3x)
The correct answer is
Option b.
y = 4 sin (3x)
