The following that are mathematical sentences are b,c
<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
:
6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Answer:
Surface area of pyramid = 1536 square inches.
Step-by-step explanation:
Surface area of a pyramid with the square base will be = surface area of base + 4× slant surfaces of the pyramid
area of square base = 24×24 = 576 inches²
area of one slant side of pyramid = (1/2)×side × slant height = (24×20)/2 = 240 square inches
Therefore surface area of complete pyramid = 4×area of slant side + surface area of square base = 4×240 + 576 = 960 + 576 = 1536 square inch.
In the first one the options they give you are wrong, in fact you can prove it yourself, none of the options will give you as a result 10
I hope I helped you out
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