Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
Answer:
thus next three terms are -3,-5,-7
Step-by-step explanation:
a=1
first find d
-1-1
-2
then a.p= a,a+d,a+2d,a+3d,a+4d
=1,1-2,1+2×-2,1+3×-2,1+4×-2
=1,-1,1-4,1-6,1-8
=1,-1,-3,-5,-7
plz mark as brainlist
Work out the z scores for 51 and 54
z1 = (51 - 57.5) / 6.5 = -1
z2 = (64 - 57.5)/6.5 = 1
from tables of normal distribution this value os 3413 + 3413 = 68.26%
so the answer is c
Given that following incomplete deposit slip:
<span>Description Amount ($)
Cash, including coins $150.75
Check 1 $564.81
Check 2 $2,192.43
Check 3 $4,864.01
Subtotal $7,772.00
Less cash received ($721.50)
Total $7,050.50
Therefore, the amount of cash the person who filled out this deposit slip received is $721.50
</span>
Answer:
B. 
Step-by-step explanation:
The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that
is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.
∴
is the additional fact needed to prove 
Hope this helps :)