X+x-1+x-2=267
3x-3=267
3x=270
X=90 90+90-1+90-2=267
90+89+88=267
Three integers 88,89,90
Answer:
length TR = 6
Step-by-step explanation:
Length TL = 24
scale ratio = 3:4:5
T-------R--------V----------L
find: TR
24 / (3+4+5) = 2
length TR at 3 x 2 = 6
length RV at 4 x 2 = 8
length VL at 5 x 2 = 10
a total of 6 + 8 + 10 = 24
therefore,
length TR = 6
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
A) 9a+6b
b)5c-3d
combine like terms*
