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IRINA_888 [86]
3 years ago
7

Help Me With This Question

Mathematics
1 answer:
kumpel [21]3 years ago
6 0
A) 2/4

b) i: 2/5*1/4= 2/20=1/10
    ii:(3/5*2/4)+(2/5*3/4)=(6/20)+(6/20)=3/10+3/10=6/10

c) It seems like there is a lack of information on the tree diagram so I could not answer this.

Hope this helps :)
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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
The circle below is centered at the point (4-3) and has a radius of length 3. (4 What is its equation?
Dovator [93]

Step-by-step explanation:

3p88pf3368pdod5edee5owxu5wzoxut sjlylite

5 0
3 years ago
Q # 6 please help to resolve
Rus_ich [418]
The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.

P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways

_____
P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42
4 0
2 years ago
Simplify 2x + 5 +6x +3
bija089 [108]

Answer:

8x+8?

Step-by-step explanation:

2x+6x=8x

5+3=8

6 0
2 years ago
B) John returns from holiday with these notes.
ivolga24 [154]

Answer:

£290.70

Step-by-step explanation:

Number of notes of $50 = 5

Total value = 50 × 5 = $250

Number of notes of $20 = 2

Total value = 20 × 2 = $40

Number of notes of $10 = 7

Total value = 10 × 7 = $70

Number of notes of $5 = 3

Total value = 5 × 3 = $15

Total value of all notes with John = 250 + 40 + 70 + 15

                                                        = $375

Since, $1.29 = £1

Therefore, $1 = £\frac{1}{1.29}

Therefore, $375 = £ \frac{375}{1.29}

                           = £290.70  

4 0
2 years ago
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