Answer:
<h2>The decimal equivalent of the number is 8976.</h2>
Step-by-step explanation:
In the given binary string, there is a one in the 4, 8, 9 and 13th place (when counted from 0 starting from the unit place).
<u>In which places of the given number, there are 0, the resultants of those places will be 0</u>.
Hence, the number will be
.
Answer:
53.13°
Step-by-step explanation:
Using Sine rule
b / Sin B = a / Sin A
5/ Sin90 = 4 /Sin A
5/1 = 4 /SinA
Sin A = 4/5
A = arc sin(0.8)
A = 53.13010
A = 53.13 °
Answer:

Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.

In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.

Now solve using inverse operations,

Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).

Substitute,

Solve,

Thus, the answer to this system of equations is the following,
.
Answer:
D. 75(5r+3d+4f) and 75(5r)+75(3d)+75(4f)
Answer:
This a circle centered at the point
, and of radius "3" as it is shown in the attached image.
Step-by-step explanation:
Recall that the standard formula for a circle of radius "R", and centered at the point
is given by:

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:
1)
since the radius must be a positive number and (
) is not a viable answer.
2)
for (
) to equal 
3)
for (
) to equal 
Therefore, we are in the presence of a circle centered at the point
, and of radius "3". That is what we draw as seen in the attached image.