Answer:
this is the anwser
Step-by-step explanation:
4 12 13 triangle
Obtuse scalene triangle.
Sides: a = 4 b = 12 c = 13
Area: T = 23.894
Perimeter: p = 29
Semiperimeter: s = 14.5
Angle ∠ A = α = 17.839° = 17°50'19″ = 0.311 rad
Angle ∠ B = β = 66.782° = 66°46'55″ = 1.166 rad
Angle ∠ C = γ = 95.379° = 95°22'46″ = 1.665 rad
Height: ha = 11.947
Height: hb = 3.982
Height: hc = 3.676
Median: ma = 12.349
Median: mb = 7.517
Median: mc = 6.144
Inradius: r = 1.648
Circumradius: R = 6.529
Vertex coordinates: A[13; 0] B[0; 0] C[1.577; 3.676]
Centroid: CG[4.859; 1.225]
Coordinates of the circumscribed circle: U[6.5; -0.612]
Coordinates of the inscribed circle: I[2.5; 1.648]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 162.161° = 162°9'41″ = 0.311 rad
∠ B' = β' = 113.218° = 113°13'5″ = 1.166 rad
Answer:
2). Volume = 14400 feet³
3). Volume = 157.5 ft³
Step-by-step explanation:
Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.
2). In this part of the question solid given is in the shape of an rectangular pyramid.
Volume of this oblique pyramid = 
Here 'B' = area of the base
h = height of the pyramid
Volume = 
= 14400 cubic feet
4). Volume of a triangular cone = (Area of the triangular base)×(height)
= ![[\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7Bheight%7D%29%5D%5Ctimes%20%7B%5Ctext%7Bheight%20of%20the%20prism%7D%7D)
= 
= 157.5 ft³
Answer:
∠ZB = 54°
Step-by-step explanation:
Given:
Pair of complementary angles
∠ZA = (2x + 10)° and m
∠ZB = (3x + 15)
Find:
Measure of ∠ZB
Computation:
complementary angles
a + b = 90°
∠ZA + ∠ZB = 90°
(2x + 10) + (3x + 15) = 90
5x + 25 = 90
x = 13
So,
∠ZB = (3x + 15)
∠ZB = 13(3) + 15
∠ZB = 54°
The decimal you put would be “two ten-millionths” if read out loud. If the allowable amount is 10 parts per billion, it would be 1 part per 100 million. Because 2 parts per 10 million is also 20 parts per 100 million, it is not not an acceptable amount
