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dolphi86 [110]
2 years ago
5

Simplify (5x-7) (2x+3) (7x-8)

Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0

Answer:

70x³ - 73x² - 155x + 168

Step-by-step explanation:

Given

(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL

= (10x² + x - 21)(7x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis

= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms

= 70x³ - 73x² - 155x + 168

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A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55
Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

\frac{sin A}{a} = \frac{sin B}{b}

\frac{sin 55}{a} = \frac{sin 62.5}{150}

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = \frac{ 122.8728066}{sin(62.5)}

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet



5 0
3 years ago
What's the circumference of a <br> circle with a diameter of 15 inches? <br> Use 3.14 for .
ira [324]

Answer:

C =47.1 inches

Step-by-step explanation:

The circumference is given by

C = pi*d

C = 3.14 * 15

C =47.1 inches

3 0
3 years ago
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