<span>I think the height is 2/3 that of a side of the base. If that is correct, then the height is h = 2/3s.
The formula for the volume of a pyramid is \[V=\frac{ 1 }{ 3 }s ^{2}h\]
Normally it would be B for base area, but since this is a square and the height is in terms of s, that would be the formula.
If we find the area based on the fact that h = 2/3s, then it appears that the formula would be
V=1/3s^2 x 2/3s
If you multiply that all out, it would be V= 2 / 9s ^3
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Answer:
Quotient : 3x³ + x² + x + 3
Step-by-step explanation:
Give the polynomial :
Dividend : 3x⁴+16x³+6x²-2x-13;
Divisor : x+5
Kindly check attached picture for detailed explanation.
Answer:
The square root of 208 cm or approximately 14.4 cm
Step-by-step explanation:
There is formula called the Pythagorean theorem and it is a^2 + b^2 = c^2
Where a is equal to height and b is equal to the base.
To put the numbers into the formula:
12^2 + 8^2 = c^2
144 + 64 = c^2
208 = c^2
sqrt (208) cm = c
Answer:
388.5yd²
Step-by-step explanation:
We have Triangle TUV
In the question, we are given already
Angle U = 32°
Angle T = 38°
Angle V = ???
Side t = 31yd
Side u = ?
Side v = ?
Area of the triangle= ?
Step 1
We find the third angle = Angle V
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (32 + 38)°
= 180° - 70°
Angle V = 110°
Step 2
Find the sides u and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle TUV
t/ sin T = u/ sin U = v/ sin V
We have the following values
Angle T = 38°
Angle U = 32°
Angle V = 110°
We are given side t = 31y
Finding side u
u/ sin U= t/ sin T
u/sin 32 = 31/sin 38
Cross Multiply
sin 32 × 31 = u × sin 38
u = sin 32 × 31/sin 38
u = 26.68268yd
u = 26.68yd
Finding side x
v / sin V= t/ sin T
v/ sin 110 = 31/sin 38
Cross Multiply
sin 110 × 31 = v × sin 38
v = sin 110 × 31/sin 38
v = 47.31573yd
v = 47.32yd
To find the area of triangle TUV
We use heron formula
= √s(s - t) (s - u) (s - v)
Where S = t + u + v/ 2
s = (31 + 26.68 + 47.32)/2
s = 52.5
Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)
Area of the triangle = √150967.6032
Area of the triangle = 388.5454973359yd²
Approximately to the nearest tenth =388.5yd²
Answer:
156.6 meters squared
Step-by-step explanation:
There are 3 triangles for the sides. The area for a triangle is one half base times height. So we are doing one half of 9 times 9. This is 40.5. Since there are 3 of them we can just multiply 40.5 times 3 to get 121.5. And now to solve for the base triangle, it is one half of 9 times 7.8. We get 35.1. Now add together 121.5 and 35.1. We get 156.6. Now since this is surface area it is meters squared.
