i think that it is the third one
Answer:
The answer is option (C). The width of the rectangle=6 inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
width=w
length=w+6
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=36 inches
L=w+6
w=w
replacing;
2(w+w+6)=36
2(2 w+6)=36
4 w+12=36
4 w=36-12=24
4 w=24
w=24/4=6
W=6 inches
L=6+6=12 inches
The width of the rectangle=6 inches
To answer the question above, evaluate the number of cookies each of them placed on a tray. The calculations are shown below,
Ronny C1 = 0.15 x 20 = 3
Celina C2 = 3
Jack C3 = 0.30 x 20 = 6
Michelle C4 = 20 - (3 + 3 + 6) = 8
From the calculation above, <em>Michelle</em> placed the most number of brownies on the tray.
Answer:
Miguel has $63
Lisbeth has $11
David has $21
Step-by-step explanation:
let Miguel share be M
let Lisbeth share be L
let David share be D
from the question, we know that
M=3D
L=D-10.
M+L+D=95
thus,
3D+(D-10)+D= 95
3D+D-10+D= 95
5D-10 = 95
5D= 95+10
5D= 105
D= 105/5
D= 21.
thus,
M = 3D = 3×21
= $63
L = D-10 = 21-10
= $11
(63+21+11)$ = $95
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
