All categories

2 years ago

A 4 meter ladder leans against a house forming a

Mathematics

1 answer:

Ket [755]2 years ago

6 0

Answer:

2.meters

Step-by-step explanation:

Lenght of ladder = 4 m

θ = 30°

To obtain h;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Hypotenus = 4 ; opposite = h

Sin 30 = h / 4

0.5 = h / 4

h = 0.5 * 4

h = 2 m

Hence, distance between th efoot of ladder and the base of the wall is 2 m

You might be interested in

Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet you one dollar that at least

Tatiana [17]

Answer:

a) No, because you have only 33.8% of chances of winning the bet.

b) No, because you have only 44.7% of chances of winning the bet.

Step-by-step explanation:

a) Of the total amount of cards (n=52 cards) there are 12 face cards (3 face cards: Jack, Queen, or King for everyone of the 4 suits: clubs, diamonds, hearts and spades).

The probabiility of losing this bet is the sum of:

- The probability of having a face card in the first turn

- The probability of having a face card in the second turn, having a non-face card in the first turn.

- The probability of having a face card in the third turn, having a non-face card in the previous turns.

- The probability of having a face card in the fourth turn, having a non-face card in the previous turns.

1) The probability of having a face card in the first turn

In this case, the chances are 12 in 52:

$P_1=P(face\, card)=12/52=0.231$

2) The probability of having a face card in the second turn, having a non-face card in the first turn.

In this case, first we have to get a non-face card (there are 40 in the dech of 52), and then, with the rest of the cards (there are 51 left now), getting a face card:

$P_2=P(non\,face\,card)*P(face\,card)=(40/52)*(12/51)=0.769*0.235=0.181$

3) The probability of having a face card in the third turn, having a non-face card in the first and second turn.

In this case, first we have to get two consecutive non-face card, and then, with the rest of the cards, getting a face card:

$P_3=(40/52)*(39/51)*(12/50)\\\\P_3=0.769*0.765*0.240=0.141$

4) The probability of having a face card in the fourth turn, having a non-face card in the previous turns.

In this case, first we have to get three consecutive non-face card, and then, with the rest of the cards, getting a face card:

$P_4=(40/52)*(39/51)*(38/50)*(12/49)\\\\P_4=0.769*0.765*0.76*0.245=0.109$

With these four probabilities we can calculate the probability of losing this bet:

$P=P_1+P_2+P_3+P_4=0.231+0.181+0.141+0.109=0.662$

The probability of losing is 66.2%, which is the same as saying you have (1-0.662)=0.338 or 33.8% of winning chances. Losing is more probable than winning, so you should not take the bet.

b) If the bet involves 3 cards, the only difference with a) is that there is no probability of getting the face card in the fourth turn.

We can calculate the probability of losing as the sum of the first probabilities already calculated:

$P=P_1+P_2+P_3=0.231+0.181+0.141=0.553$

There is 55.3% of losing (or 44.7% of winning), so it is still not convenient to bet.

5 0

3 years ago

PLEASE HELP!! for 20 points What is the area of the composite figure?

belka [17]

Answer:

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

Large Rectangle -> 4x8=32

Tiny Rectangle at the bottom ->2x3=6

Triangle at top can be broken into two right triangles ->

(4x2)(1/2)=4

Add: 32+6+4+4=46

4 0

1 year ago

Select the equation has no solution. A) 2x + 17 - 7x - 6 = 8 - 10x - 19 + 5x B) 7 + 16x + 1 - 4x = 24 + 8x - 9 + 3x C) 9x - 3 +

AlexFokin [52]

These problems really aren't hard just set them equal to each other and see if what they are saying is true. Are they equal? Do they both equal 0?

8 0

3 years ago

Read 2 more answers

Help quick please ________

Kruka [31]

Hey

Area of first rectangle = 18 x 21 = 378 in^2

Area of second rectangle = 17 x 9 = 153 in^2

Total area = 378+153 = 531 in^2

Option 1

Hope this helps :)

5 0

2 years ago

Read 2 more answers

I really need help on this

laila [671]

Answer:

its B

Step-by-step explanation:

math way

4 0

3 years ago

Read 2 more answers