Answer:
7.3 in
Step-by-step explanation:
Area of triangle = (1/2) *b*h
27 = (1/2) * x^2
54 = x^2
square root (54) = x
x=> 7.3484....
Rounding off to 1 decimal place, you get 7.3 in.
Answer:
7.07
Step-by-step explanation:
<h2><u>Length</u></h2>
a square has equal length on each side
hence is the perimeter is 20 it means that :
each side is 20/4 = 5
we can make a diagonal line which create 3 right angled triangles
2 sides of the triangle are 5 , this is the base and the height
to find the length we can make use of the Pythagoras theorem
c^2 = a^2 + b^2
c is the hypotenuse ( the diagonal;)
a and b are the opposite and adjacent
hence :
c^2 = 5 ^2 + 5^2
c^2 = 50
c = 
c = 7.071
to 3sf
<h3><u>diagonal length = 7.07</u></h3>
Answer:
Step-by-step explanation:
f(x)=2(x-2)²-5
f(x)=2(x²-4x+4)-5
f(x)=2x²-8x+3
Answer: y=5x+3
Step by step explanation:
Perpendicular meaning that the product of the slope/gradient is -1 hence ...
-1/5 * x = -1
x = -1/-1/5
x = 5
The equation perpendicular to y=-1/5x-3 is y=5x-c
Now it contains the points (1,2)
x variable is 1 and y variable is 2 plug them into the line equation
2=5(1)-c
2=5-c
2-5=-c
-3=-c divide by -1
3=c
Hence the perpendicular equation is y=5x+3
Hopefully it’s correct :)
9514 1404 393
Answer:
- length: 29 ft
- width: 20 ft
Step-by-step explanation:
Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.
580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29
The last pair of factors differs by 9, so ...
the length is 29 feet; the width is 20 feet.
