Answer:
y=2
Step-by-step explanation:
Opposite sides in a parallelogram are equal:
5y-2x=3y+2x
2y=4x
y=2x
and
y+2x=4
so
2x+2x=4
4x=4
x=1
y=2x
y=2*1
y=2
Answer:
a equal to five.b equal to three
b=3
Answer:
The radius of the cone is approximately 13.4 feet
Step-by-step explanation:
The dimensions of the given cone are;
The distance from the top of the cone to the edge of the cone = 15 feet
The height of the cone = 6 feet
The radius of the cone is given by the base of the right triangle formed by the slant length, the base radius and the height which is found using Pythagoras theorem as follows;
The radius of the cone, r = √((Slant distance)² + (Height)²)
∴ r = √((12 ft.)² + (6 ft.)²) ≈ 13.4 ft. (by rounding to the nearest 10th)
Hi there!
To find the amount of money needed for one class, we need to plug 1 into the equation as x, since x represents the amount of classes.
y = 40(1) - 25
y = 40 - 25
y = 15
So, it would cost 15 dollars.
Hope this helps!
Answer:
a. 29.3 units²
Step-by-step explanation:
The area of a circle is A = πr².
The area of each triangle is A = ½bh.
The vertex angle of each triangle is 360/5 = 72°. If we cut the triangle in half, we can use trig to write:
sin 36° = (½b) / r
b = 2r sin 36°
And:
cos 36° = h / r
h = r cos 36°
Substituting, we get the area of each triangle is:
A = r² sin 36° cos 36°
A = ½ r² sin 72°
The radius of the circle is 8. So the area of the circle minus the area of the 5 triangles is:
A = π (8)² − 5 (½) (8)² (sin 72°)
A ≈ 48.9 units²
Three fifths of the area is shaded, so:
⅗ A ≈ 29.3
