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3 years ago

Write as a polynomial. a(a+9b)^2

1 answer:

4 0

Answer: a^3+81ab^2
First, you square (a+9b) which will become (a^2+81b^2)
Then, you multiply it by a and you will get a^3+81ab^2

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Need help ASAP DUE IN ONE DAY thanks

erastovalidia [21]

Answer:

(5k+14)(3k+8)

Step-by-step explanation:

7 0

3 years ago

write an equation that represents the amount of money in a saving account f(t), after t years, that started with $1000 and grows

aleksandr82 [10.1K]

Answer:

simple interest : f(t) = 1000(1+0.03*t)

compound interest : f(t) = 1000(1+ 0.03/n)^n/t

Step-by-step explanation:

4 0

3 years ago

2. Which expression is equivalent to 2(2x + 11)-(-5+ 3x)?:

astra-53 [7]

2(2x+11)-(-5+3x)

4x +22+5-3x

x+27 or Option C

6 0

1 year ago

Plzz help me solve questions 15 and 16...!!

iVinArrow [24]

15.

We have right triangles, with the ladder the hypotenuse of both and the wall the opposite side of both.

Call the ladder length h.

Against the wall we have the opposite of alpha the taller one:

$q = h \sin \alpha - h \sin \beta$

On the ground adjacent to beta is the longer one

$p = h \cos \beta - h \cos \alpha$

Dividing

$\dfrac p q = \dfrac{ h \cos \beta - h \cos \alpha }{h \sin \alpha - h \sin \beta} = \dfrac{ \cos \beta -\cos \alpha }{\sin \alpha - \sin \beta} \quad\checkmark$

16.

Again I'm too lazy to draw the figure but you should.

Let's call y the height of the tower and x the distance from the observation point on the ground to the base of the tower.

$\tan 60^\circ = \dfrac y x$

$\tan 30^\circ = \dfrac{y - 40}{x}$

Since $\sin 30 =\cos 60 = \frac 1 2 \textrm{ and } \cos 30 = \sin 60 = \sqrt{3}/2$

$\tan 60^\circ = \sqrt{3} = y/x$

$\tan 30^\circ = 1/\sqrt{3} = (y-40)/x$

Dividing,

$\sqrt{3}/ (1/\sqrt{3}) = (y/x) / ((y-40)/x)$

$3 = y/(y-40)$

$3y - 120 = y$

$2y = 120$

$y = 60$

$x = y/\sqrt{3} = 60(\sqrt{3}/3) = 20 \sqrt{3}$

Answer: Height 60 meters, distance 20√3 meters

5 0

4 years ago

A store bought a tent for $230 andmarked it up 65%. The store sells thetent with an 8% tax, what is the totalcost of the tent?

Len [333]

The cost for buying the tent is $230.

65% was increasesd for selling. Then the rate is

$\begin{gathered} 230\times\frac{65}{100}=14.95 \\ So,\text{ the marked price=230+14.95=}244.95 \end{gathered}$

The tax is 8%. So this is from the marked price.

$\begin{gathered} \frac{8}{100}\times244.95=19.56 \\ 244.95-19.56=225.39 \end{gathered}$

Therefore the total cost of the tent is $225.39.

3 0

1 year ago