Answer: 20.5
Step-by-step explanation:
From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangle. 9-40-41 is a Pythagorean triplet.
In a right angled triangle, the circumradius is half the hypotenuse.
In the given triangle, the hypotenuse = 41.
Therefore, the circumradius is 41÷2= 20.5 units.
Answer:
9/1000
Step-by-step explanation:
Because 1 m = 1000 mm, the scale factor is 9/1000
Answer:
5
Step-by-step explanation:
let the number written on the board be x.
1st student's number= x +23
2nd student's number= x -1
<em>1</em><em>st</em><em> </em><em>student</em><em>'</em><em>s</em><em> </em><em>number</em><em>=</em><em> </em><em>7</em><em>(</em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>the</em><em> </em><em>2nd</em><em> </em><em>student</em><em>)</em><em>,</em>
x +23= 7(x -1)
x +23= 7x -7 <em>(</em><em>expand</em><em>)</em>
7x -x= 23 +7 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
6x= 30 <em>(</em><em>simplify</em><em>)</em>
x= 30 ÷6 (÷6 on both sides)
x= 5
Thus, the number written on the board is 5.
Since width is the smaller value, set width=x. That wold mean that length=x+3. Since Area=width*length, 40=x(3+x). Distribute the x to give you 40=3x+x^2. Set the equation equal to 0 giving you x^2+3x-40=0. Factor the equation to give you (x+8)(x-5)=0. Set each factor equal to 0. x+8=0 gives you x=-8 & x=-5 gives you x=5. Since we're working with lengths of objects, it can't be negative. Therefore, your width is 5. To find length, substitute width into the original expression (x+3). Therefore, length is 5+3=8.
Answer:A is a subset of D
Step-by-step explanation:
Because A has what it is contained D
