Answer:
No
Step-by-step explanation:
Check this out by subbing 1 for x and 6 for y in the given inequality:
3(1) + 5(6) > 14. We must determine whether this is true or not.
3 + 30 > 14 is false, so no, (1, 6) is not a solution to this inequality.
Answer:
x (x + 4) = 45
x^2 + 4x - 45 = 0
factor
(x + 9)(x - 5) = 0
x = -9 or 5
your length cannot be negative so x= 5 and x+4 =9
Step-by-step explanation:
Hope this answer is Wright
Answer:
184.43in².
Step-by-step explanation:
Total surface area of the solid = volume of the cube - the volume of the cone
For the CUBE;
Volume of the cube = L³ where L is the length of one side of the cube.
Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.
Volume of the cube = 6³ = 216in³
For the CONE;
Volume of the cone = 1/3 πr²h
r is the radius of the cone = diameter/2
r = 6/2 = 3in
slant height l = 4.5in
the height h of the cone will be derived using the Pythagoras theorem.
l² = h²+r²
4.5² = h²+3²
h² = 4.5²-3²
h² = 11.25
h=√11.25
h = 3.35in
Volume of the cone = 1/3 × π × 3²× 3.35
= 31.57in³
Total surface area of the solid = 216in³-31.57in³
= 184.43in²
<u>Given:</u>
A triangular piece is cut out of a rectangular piece of paper to make the class banner.
<u>To find:</u>
The area of the class banner.
<u>Solution:</u>
The rectangular piece of paper is 14 inches long and 
inches wide.
From the given diagram, the triangle has a base length of the same 8 inches and has a height of 
inches long.
To determine the area of the banner, we subtract the area of the triangle from the area of the rectangle.
The area of a triangle 
The area of the triangle 
square inches.
The area of a rectangle 
The area of the rectangle 
square inches.
The area of the class banner 
square inches.
So the banner has an area of 100 square inches which is the first option.
