This problem cannot be solved unless we are given figure NPQR is a rhombus.
In that case, then all sides are equal, meaning
5x+16=9x-32
Solve for x
9x-5x=16+32
4x=48
x=12
Each side (including PQ) then equals 5x+16=5*12+16=76
13.) A=9cm^2
If the area is l•h, and there are 9 cubic squares, that means that the length of each side on the square is 3cm, each square on it equals 1cm.
14.) V=27cm^3
If the volume is l•w•h, then we find the third power square root of 27, so 3•3=9•3=27, the answer is 3cm for the length, width, and height.
15.) V=4,913cm^3
If volume is l•w•h, then what number when raised to the third power equals 4913? The answer is 17, since 17•17=289•17=4913. So the length is 17cm
16.)V=216cm^3
If volume is l•w•h, then what number when raised to the third power equals 216? The answer is 6, since 6•6=36•6=216.
17.)A=121
Is area is l•w, then what number raised to the second power equals 121? The answer is 11, since 11•11=121. Therefore it WILL NOT fit a car with a length of 13ft.
18.)A=141
If area is l•w, then what number raised to the second power equals 141? The answer is 12, since 11.87•11.87=141 (answer was rounded to nearest whole number) meaning that she will need 12ft of fence to enclose her garden.
Slope is 5
Step-by-step explanation:
- Step 1: The equation of the line is y - 3 = 5(x - 2). Find the slope.
y - 3 = 5x - 10
Slope intercept form is y = mx + b, where m is the slope.
y = 5x - 10 + 3
y = 5x - 7
m = 5
X 1 = 3 * cos 120° = - 3 cos 60° = - 3/2 = - 1.5
y 1 = 3 * sin 120° = 3 sin 60° = 3√3 / 2 = 2.598
x 2 = 0.5 * cos 49° = 0.328
y 2 = 0.5 * sin 49° = 0.37735479
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d = [( x 2 - x 1 )² + ( y 2 - y 1 )²]^(1/2)
d = [ ( 0.328 + 1.5 )² + ( 0.37735479 - 2.598) ] ^(1/2)
d = ( 3.341584 +4.931265 )^(1/2)
Answer: The distance is :
d = 2.876256
