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Inga [223]
3 years ago
14

18 (8 + 9t) - (t2 + 4) (2 – 3t)

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

=3t3−2t2+174t+136

Step-by-step explanation:

Let's simplify step-by-step.

18(8+9t)−(t2+4)(2−3t)

Distribute:

=(18)(8)+(18)(9t)+3t3+−2t2+12t+−8

=144+162t+3t3+−2t2+12t+−8

Combine Like Terms:

=144+162t+3t3+−2t2+12t+−8

=(3t3)+(−2t2)+(162t+12t)+(144+−8)

=3t3+−2t2+174t+136

ziro4ka [17]3 years ago
8 0

Answer:  a, b, c, & d

<u>Step-by-step explanation:</u>

    18(8 + 9t) - (t² + 4)(2 - 3t)

= 144 + 162t - (2t² - 3t³ + 8 - 12t)

= 144 + 162t - 2t² + 3t³ - 8 + 12t

= 3t³ - 2t² + 174t + 136

a) The simplified expression is a polynomial.   TRUE (there are many terms)

b) The simplified expression has a constant term. TRUE (136 is the constant)

c) The simplified expression is cubic. TRUE (the degree is 3)

d) The simplified expression has four terms. TRUE

e) The simplified expression is a trinomial.  FALSE (there are 4 terms, not 3)

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Answer:

Rupees 891

Step-by-step explanation:

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7 0
3 years ago
The area of a sector of an circle of a radius 5 cm, formed by an arc of length is 3.5cm. what is the answer
Natali5045456 [20]

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector  = 8.75cm

Hence the area of the sector is 8.75cm²

5 0
3 years ago
Hi can anyone help me with this please
Nostrana [21]

Answer:35in.

Step-by-step explanation:

I reccomend splitting it into sections when given problems like this.

The smaller two rectangles would be 5in * 2in which is 10in then just add them together.

For the bigger one, you'd do 5-2 in order to get the missing inches which will be 3+2 once added 5in*3in is 15in.

Finally, add 15+10+10 (15=The middle rectangle and 10=the sides)

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Answer:

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Step-by-step explanation:

120cm^3

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3 years ago
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Answer:

Step-by-step explanation:

9 - 3¾ - 2⅞ = 3⅜

He gave his grandmother 3⅜ pounds of apples.

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