Answer:
Ratio =
= 
Step-by-step explanation:
The perfect squares from 1-30 are:
1, 4, 9, 16, 25
Total no. of perfect squares = five =5
Total no. of non perfect squares = 30-5 = 25
Ratio =
= 5 / 25 = 
We have that
7x^2 + 4x - 8 = 14-----------------> 7x²+4x-22=0
Step 1
Solving<span> a </span><span>second degree equation
</span>x1=[-b+√(b²-4ac)]/2a
x2=[-b-√(b²-4ac)]/2a
a=7
b=4
c=-22
then
x1=[-4+√(4²-4*7*(-22))]/(2*7)-----------> [-4+√(632)]/(14)
x1=-(-4+25.14)/14=1.51
x2=[-4-√(4²-4*7*(-22))]/(2*7)-----------> [-4-√(632)]/(14)
x2=-(-4-25.14)/14=-2.08
the solutions of the system is
x1=1.51
x2=-2.08
<span>to check the result
</span>
using a graph tool
see the attached figure
the answer is
the numerical expressions is
x1=[-b+√(b²-4ac)]/2a
x2=[-b-√(b²-4ac)]/2a
When the shadow is 30 meters long, the angle of the sun is 45°.
When the shadow is 51.96 meters long, the angle of the sun is arctan(30/51.96) = 30°
Answer:
The surface area of a solid object is a measure of the total area. Find the area of all the sides and add them up.
Area of rectangles:
40+40+16+16= 112
split the pentagon so they will be a reactangle and a triangle.
6-2=4. The height of the triangle is 4.
3+3=6, 6*2=12. 12 is the area of the mini rectangles, 12*2=24. 24 is the total area for both the mini rectangles.
Area of the triangle is 12.
Add them all up:
112+12+24= 148
148
<em>Hope this helps!!</em>