Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
Answer:
4x^2+19x-5=(x+5)(4x -1)
Step-by-step explanation:
The given expression is 4x^2 + 19x - 5
The leading coefficient is 4 and last term is -5
Multiply them, we get -20
Now find the factors of -20 such that when you add the factors we have to get 19.
-1*20 = -20
20+ (-1) = 19
The right factors are -5 and 9.
4x^2 + 19x - 5 =4x^2 + 20x -1x - 5
= 4x(x + 5) -1(x + 5)
= (x + 5)(4x -1)
The missing factor is (4x -1)
Thank you.
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Answer:
15 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (- 10, 7)
d = 
= 
= 
= 
= 15 units