Answer:
r = 11.4 cm
Step-by-step explanation:
The question says that, "Spray will make a circle with a diameter of 22.8 cm how long a radius will measure."
Given that,
The diameter of the circle, d = 22.8 cm
We know that the relation between the diameter and the circle is given by :
d = 2r
Where
r is the radius of the circle
r = d/2
r = 22.8/2
r = 11.4 cm
So, the radius of the circle is equal to 11.4 cm.
Answer:
f(x)=-12
Step-by-step explanation:
Since x=-4 substitute -4 into the equation
f(x)=3*-4
f(x)=-12
Hope this helped!
Answer:
15 cm
Step-by-step explanation:
The length of the shorter pole can be found by forming and subsequently solving 2 equations.
Start by defining the variables that are going to be used in the working.
Let the original length of the shorter pole be a cm and that of the longer pole be b cm.
'Product' refers to the multiplication operation.
ab= 285 -----(1)
On the other hand, 'sum' refers to the addition operation.
Length of shorter pole after cutting= a -2
Length of longer pole after cutting= b -2
(a -2) +(b-2)= 30
a +b -4= 30
Adding 4 to both sides:
a +b= 30 +4
a +b= 34 -----(2)
From (2):
a= 34 -b -----(3)
Let's solve by substitution:
Substitute (3) into (1):
b(34 -b)= 285
Expand:
34b -b²= 285
b² -34b +285= 0
Factorise:
(b -15)(b -19)= 0
b -15= 0 or b -19= 0
b= 15 or b= 19
Substitute into (1):
a(15)= 285 or a(19)= 285
a= 285 ÷15 or a= 285 ÷19
a= 19 or a= 15
Since a <b, a= 15 and b= 19.
Thus, the length of the shorter pole is 15 cm.
Answer:
Step-by-step explanation:
"Best estimate' doesn't happen automaticallly, because you have to define "best" in this context. We could merely round all numbers and work with the results:
For example, starting with the work inside parentheses, we have:
5 5/6 - (1 + 4) = 5 5/6 - 5. We must round 5 5/6 up to 6. Then the "best estimate' is 6 - 5, or just 1.
SA= 49.5 (m but it says no units)
Explanation: find the area of one of the triangles, A=(b*h)/2, and then one of the rectangles, A=l*w. Multiply the triangles area by two, there are two triangles. Multiply the rectangles areas by three, there are three rectangles. I’ve included calculations in the picture below.
