Which represents the recursive formula for the geometric sequence

A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 18% are pennies and 38% ar

nadezda [96]

Answer:

$2.64

Step-by-step explanation:

9 coins are pennies (reply to my comment if you want to know how I got it)

19 coins are dimes (reply to my comment if you want to know how I got it)

9 (pennies) + 4 = 13 (nickels)

$1.90 (dimes) + $0.09 (pennies) + $0.65 (nickels) = $2.64

3 0

3 years ago

In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perim

8090 [49]

1- getting the side lengths:
We are given that the ratio between the sides is:
BC : AC : AB
4 : 3 : 5
We are also given that AC = 12 cm
We will simply use cross multiplication to find the lengths of the other two sides as follows:
BC : AC : AB
4 : 3 : 5
?? : 12 : ??
length of BC = (12*4) / 3 = 16 cm
length of AB = (12*5) / 3 = 20 cm

2- getting the perimeter of the triangle:
perimeter = AB + BC + AC
perimeter = 20 + 16 + 12
perimeter = 48 cm

3- getting the length of the hypotenuse:
We are given that angle C is the right angle in triangle ABC. The hypotenuse is the side opposite to the right angle. In our case, this side is AB.
This means that the length of the hypotenuse = AB = 20 cm

4- getting the area of the triangle:
area of triangle = 0.5 * base * height
Since the given triangle is a right-angled triangle, therefore, the base and the height are the two legs associated with the right angle.
This means that:
base = AC = 12 cm
height = BC = 16 cm
Therefore:
area of triangle = 0.5 * 12 * 16 = 96 cm²

Hope this helps :)

7 0

4 years ago

Roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcom

meriva

Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

a. a king of heart

b. a queen of spades

c. an ace of flower

d. an ace of diamond