Answer:
153m
Step-by-step explanation:
perimeter of an arc = theta/360 × 2πr
P= 17πm
theta = 20°
17πm= 20/360 × 2 × π × r
153πm = πr
r = 153m
Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given
Solving (a): The vertex
For an equation written in
The vertex is:
By comparison:
and
So, the vertex is:
Solving (b): The axis of symmetry
For an equation written in
The axis of symmetry is:
x = h
In (a):
So:
4000(1.05)⁴=$4862.03
6000(1+ .08/2)^35(2)=$93429.71
15450(.86)³=$9827.07
Answer:
7) C) PQR ≈ TSR
8) B) 3
9) D) 102 ft
10) D) 21
11) C) 45
Step-by-step explanation:
7) C) PQR ≈ TSR
8) 2 * 6 = 12
so 4x = 12
x = 3
9)
24/20 = x/85
x = 24 * 85 / 20
x = 202 ft
10)
QT/35 = 24/40
QT/35 = 3/5
QT = 35 * 3 / 5
QT = 21
11)
ΔKLM ≈ΔXYZ
9/4 = 2.25
So
XY = 9 ---> given
YZ = 7 * 2.25 = 15.75
XZ = 9 * 2.25 = 20.25
Perimeter ΔXYZ = 9 + 15.75 + 20.25 = 45
Answer:
(-2,-11)
Step-by-step explanation:
3x-2(4x-3)=16
3x-8x+6=16
-5x=10
x=-2
Plug back in
y=4(-2)-3
y=-8-3
y=-11
