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Harlamova29_29 [7]
3 years ago
8

Determine the term containing y^5 in the expansion of (x-3y)^8

Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

13608x^3y^5

Step-by-step explanation:

(x-3y)^8 expanded form:

x^8 - 24x^7y + 252x^6y^2 - 1512x^5y^3 + 5670x^4y^4 - 13608x^3y^5 + .....

13608x^3y^5

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that's all of them

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What is 9x+210=4x+140
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If the diameter of a circle is 80 ft., find the area A 5,024 ft2 B 20,096 ft2 C 251.2 ft2 D 125.6 ft2
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A. 5,024

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3 0
3 years ago
eric and sue buy some gifts for a friend. eric pays £3.50. they pay in the ratio 5:3 how much does sue pay?
kotegsom [21]

Answer:

£1.31

Step-by-step explanation:

Add 5 to 3, obtaining 8.  Then the amt tht Eric pays is 5/8 of the £3.50 total, and the amt tht Sue pays is 3/8 of the total.

Thus, mult. £3.50 by 3/8:

(3/8)(£3.50) = £1.31 (which has been rounded off from £1.3125).

7 0
3 years ago
From the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8
Elena L [17]

Answer:

619.13 feet

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between doghouse to the foot of the tower.

We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.

First of all, we will convert our given angle into degrees as it is given in degrees and minutes.

We will divide 8 by 60 to convert 8 minutes into degrees as:

\frac{8}{60}=0.13333

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(28.13^{\circ})=\frac{331}{x}

x=\frac{331}{\text{tan}(28.13^{\circ})}

x=\frac{331}{0.534623339864}

x=619.12747783

Upon rounding to nearest hundredth, we will get:

x\approx 619.13

Therefore, the doghouse is 619.13 feet far from the foot of the tower.

6 0
3 years ago
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