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3 years ago

A rectangular table top has dimensions as 1.52m and 0.75m Find the perimeter in cm.

Mathematics

2 answers:

OLEGan [10]3 years ago

8 0

Answer:

454cm

Step-by-step explanation:

perimeter of rectangle = 2(l+b)=2(1.52+0.75)=4.54meter =4.54*100 cm( 1m =100cm) = 454cm.

vitfil [10]3 years ago

3 0

454 this is the answer and yeah have a good night :)

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F(x) = −(x2 + x − 72) what is the axis of symmetry and write it in standard form

Strike441 [17]

F(x) = -(x2+x-72)
y = -(x - 8)(x + 9)
the solutions are x = 8, -9; so the parabola is upside down (umbrella) crossing the x at 8 and -9, meaning that -9 + 8 = -1/2 = -0.5 is where the focus is, or x = -0.5 as the axis of symmetry

5 0

3 years ago

Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer

Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so $P = 9000$

Interest rate of 8%, so $r = 0.08$

Compounded quarterly, so $n = 4$

5 years and 6 months, that is, 5 years and half, so $t = 5.5$

(a) How much would the value of her savings at the end of the term?

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82$

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0

3 years ago

I need help finding m<1 please :)

Inessa [10]

Answer

c,116°

Step-by-step explanation:

i don't know how to draw a diagram?

Join ends of chord with the center making angles ∠2,∠3 and angle at the center.

angle at the center=128°

∠1=∠2+90°

∠2=∠3

∠2+∠3+128=180

∠2+∠2+128=180

2∠2=180-128=52

∠2=52/2=26

∠1=26+90=116°

sorry i can't explain properly without picure.

5 0

3 years ago

Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on

Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

If he is given with two kings.
If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by = $\frac{^{3}C_2 }{^{47}C_2}$ {∵ one king is already there}

= $\frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}$ {∵ $^{n}C_r = \frac{n!}{r! \times (n-r)!}$ }

= $\frac{3}{1081}$ = 0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by = $\frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}$