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7nadin3 [17]
3 years ago
5

The rectangular box has a lenth of 10 inches, a width of 8 inches, and a height of 20 inches.

Mathematics
2 answers:
kati45 [8]3 years ago
5 0
The volume is 10 * 20 * 8 = 1,600
Ket [755]3 years ago
3 0
The area is 1600 inches
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Suppose a 5x8 coefficient matrix for a system has pivot columns. Is the system​ consistent? Why and Why not?
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Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

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3 years ago
Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

B. m<B = 60°

C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

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