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3 years ago

Please help me answer this

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Answer:

option a

Step-by-step explanation:

BA=C

Step 1: Multiply row 1 of matrix B by column 1, 2 and 3 of matrix A to get third column of C

(2x3)+(-4x5)+(1x4) (2x2)+(-4x-5)+(1x1) (2x-4)+(-4x-3)+(1x1)

= (6-20+4 4+20+1 -8+12+1)

= (-10 25 5)

Step 2: Multiply row 2 of matrix B by column 1, 2 and 3 of matrix A to get third column of C

(5x3)+(-3x5)+(2x4) (5x2)+(-3x-5)+(2x1) (5x-4)+(-3x-3)+(2x1)

= (15-15+8 10+15+2 -20+9+2)

= (8 27 -9)

Step 3: Multiply row 3 of matrix B by column 1, 2 and 3 of matrix A to get third column of C

(4x3)+(4x5)+(-5x4) (4x2)+(4x-5)+(-5x1) (4x-4)+(4x-3)+(-5x1)

= (12+20-20 8-20-5 -16-12-5)

= (12 -17 -33)

Step 4: Form the complete matrix

(-10 25 5 )

(8 27 -9 )

(12 -17 -33)

Therefore, option a is correct.

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Triangle ABC IS an isosceles triangle AB=BC m

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Answer:

The measure of angle A is 73°

Step-by-step explanation:

Isosceles Triangles

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

$2*m\angle A=180^\circ - 34^\circ =146^\circ$

Thus:

$m\angle A=146^\circ /2=73^\circ$

The measure of angle A is 73°

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3 years ago

A parking garage charges an initial fee plus an hourly rate. The prices are shown in the table.

andreyandreev [35.5K]

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3 years ago

1. (07.01 LC)

ankoles [38]

Answer:

D) 5/13

Step-by-step explanation:

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Hypotenuse length = 13 cm

Sin x = 5/13

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3 years ago

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3 years ago

Question :

Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

$\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}$

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

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82 + 78 + ∠C = 180

∠C + 160 = 180

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Using sine rule:

$\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft$

a = distance from Ship B to the signal fire at point C

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3 years ago