A+b=2 and ab=-48, let a=x and y=b
x+y=2 implies y=2-x
xy=-48 implies x(2-x)=-48
so 2x-x^2+48=0
Answer:
51.15 cm
Step-by-step explanation:
Data provided
Basin = 40 centimeters deep
The Angle between the sloping sides = 77°
The calculation of the shortest distance between the tip of the cone and its rim is shown below:-
The angle will get divided and the angle is as follows

Here In the first triangle, we will follow "Cosine formula" which follows:-





Answer:
x=-2 and y=2
Step-by-step explanation:
Do simultaneous equations
-8x + 4y = 24 <em>(multiply everything in the equation by -7)</em>
-7x + 7y = 28 <em>(multiply everything in the equation by 8)</em>
56x - 28y = -168
-56x + 56y = 224
<em>(add equations, ie add 'x' parts, 'y' parts, and numerical parts)</em>
<em> </em>28y = 56
∴y = 2
-8x + 4y = 24
-8x + 4(2) = 24
-8x = 16
∴x=-2
Lemme know if you have questions :D
6 ribbons
1/4 yard long each
4 yards = 4 ribbons
4/4 yards
A: 6/4 yd
The surface area of hemisphere is given by:

Where r is radius of hemisphere.
We are given diameter = 250 ft.
We know that radius = half of diameter.
Radius of dome = 1/2 (250) = 125 ft.
Now let us plug the value of radius in the formula,

Surface Area of dome = 98125 square foot.