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Pavlova-9 [17]
3 years ago
7

Calculate the length a to two decimal places.

Mathematics
2 answers:
Anton [14]3 years ago
7 0
Obtuse scalene triangle.
<span>
Sides: </span>a = 7   b = 9   c = 3.31

<span>Area: </span>T = 10.324

<span>Perimeter: </span>p = 19.31
<span>
Semiperimeter: </span>s = 9.655

<span>Angle </span>∠ A = α = 43.868° = 43°52'6″ = 0.766<span> rad</span>
<span>
Angle </span>∠ B = β = 117° = 2.042<span> rad</span>
<span>
Angle </span>∠ C = γ = 19.132° = 19°7'54″ = 0.334<span> rad</span>

<span>Height: </span>ha<span> = 2.9</span>5
<span>
Height: </span>hb<span> = 2.29</span>4
<span>
Height: </span>hc<span> = 6.23</span>7

<span>Median: </span>ma<span> = 5.80</span>8
<span>
Median: </span>mb<span> = 3.11</span>9
<span>
Median: </span>mc<span> = 7.89</span>1


<span>Inradius: </span>r = 1.069
<span>
Circumradius: </span>R = 5.05

<span>Vertex coordinates: </span>A[3.31; 0] B[0; 0] C[-3.178; 6.237]
<span>
Centroid: </span>CG[0.044; 2.079]
<span>
Coordinates of the circumcenter: </span>U[1.655; 4.772<span>]

</span>
ivolga24 [154]3 years ago
6 0

Answer:

13.68

Step-by-step explanation:

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Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of Prism B.
dexar [7]

Answer:

a. 144 cubic foot

b. 12 ft

c. 18 ft

Step-by-step explanation:

Let the volume of prism A be V_a

and that of prism b be V_b

ATQ,   V_a  +  V_b= 432

also V_a= 0.5 V_b

⇒1.5 V_b= 432

= V_b= 432/1.5= 288 cubic feet

therefore V_a= 144  cubic feet

volume of prism= area of base×height = V_a

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⇒h= 12 ft

A_b= 2/3×24

⇒base area of prism B= 16 sq.ft

now 16×h_b= 288⇒h_b= 288/16= 18 ft

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