Answer:
(-2,-1)
Step-by-step explanation:
Answer:
d. 140
Step-by-step explanation:
QTR is a 180 degree angle, so we can assume PTR is 140 degrees because (x+28) is (12+28)= 40
Answer:
10 units
Step-by-step explanation:
Answer:
x=3
Explanation:
Let's write an equation for the area of this figure.
This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.
Area of rectangle= length× breadth
Area of vertical rectangle= 6x
Length of horizontal rectangle= (7 -x) cm
Area of horizontal rectangle= x(7-x)
Since total area= 30 cm^2,
6x+ x(7-x)= 30
6x +7x -x^2= 30 (expand)
-x^2 +13x-30= 0 (bring all terms to one side)
x^2 -13x +30= 0 (divide by -1)
(x -10)(x -3)= 0 (factorise)
x -10= 0 or x -3= 0
x= 10 or x= 3
(reject)
We reject x=10 since from the diagram, x cm is less than 6cm.
The area of a circular sector is <span>. </span>
<span>==> </span>
<span>Since r = s/2, it follows that </span><span>, or </span><span>, or </span>
<span>.
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