Given that,
Radius of the circle, r = 8.91 cm
Angle, 
To find,
The area of minor sector.
Solution,
The formula for the area of minor sector is given by the formula as follows :

So, the area of the shaded sector is
.
Answer:
y = -1/2 (4 x + 2)
Step-by-step explanation:
A system of two equations with no solution will consist of equations for <em>parallel lines</em>. The line will be parallel if they have the same slope (x-coefficient) and different y-intercepts.
The given line has a slope of -2, so eliminating the last two choices.
The first two choices can be expanded to slope-intercept form:
y = negative 2 (x minus one-half) ⇒ y = -2x +1 . . . same as given line
y = negative one-half (4 x + 2) ⇒ y = -2x -1 . . . parallel line
There will be no solution if another equation is ...
y = -1/2(4x +2)
Answer:15
Step-by-step explanation:jaufnenfiebd
The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
<h3>How to solve the expression?</h3>
The expression is given as:
4x + 5xy - 2y
The above expression cannot be solved.
However, the expression can be grouped
So, we have:
4x + 5xy - 2y
Rewrite 5xy as 4xy + xy
So, we have:
4x + 5xy - 2y = 4x + 4xy + xy - 2y
Factorize the expression
4x + 5xy - 2y = 4x(1 + y) + y(x - 2)
Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
Read more about expressions at:
brainly.com/question/723406
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Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.