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2 years ago

Which expression can be used to determine the length of segment AB?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB = $\sqrt{(-2-4)^2+(1-3)^2}$

= $\sqrt{(-6)^2+(-2)^2}$

= $\sqrt{36+4}$

= $\sqrt{40}$

= $\sqrt{4(10)}$ = $\sqrt{4}$ × $\sqrt{10}$ = 2 $\sqrt{10}$ ← exact length

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laila [671]

Volume of a sphere = (4/3)πr³ π ≈ 3.14, r = 9

Volume, V = (4/3)πr³

V ≈ (4/3)*3.14*9³

V ≈ (4/3)*3.14*9*9*9 Use calculator

V ≈ 3052.08

Option A.

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2 years ago

A standard deck of cards has 52 cards, 4 of each type (Ace, King, Queen, Jack, 10,...,2). From a well-shuffled deck, you are dea

Wewaii [24]

Answer:

a)%85,5

b)%92,2

Step-by-step explanation:

a) To determine the probability of getting a hand with at least one face, we need to calculate the probability of the hand without any face firstly.

$(36/52)*(35/51)*(34/50)*(33/49)*(32/48)=0,145$

Then, we need to deduct this value from the probability 1

$1-0,145=0,855$

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b)To determine the probability of a hand with at least one ace and face we will track the same road again.

$(32/52)*(31/51)*(30/50)*(29/49)*(28/48)=0,0775$

Then, we need to deduct this value from the probability 1

$1-0,0775=0,922$

The probability of the hand with at least one ace and one face is %92,2.

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2 years ago

you are running a fuel economy study. One of the cars you find is blue. It can travel 31 1/2 miles on 1 1/4 gallons of gasoline.

SIZIF [17.4K]

Answer:

Step-by-step explanation:

Blue Car: (31 1/2 miles)/(1 1/4 gallons)

(63/2) miles / (5/4) gallons

(63/2)*(4/5) = 25.2 miles/gallon.

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2 years ago

3. If a snail moves

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Hi there!

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You need to divide 2.25 by 1/2 or 0.5 which is 4.5.

So the snail moves 4.5 or 9/2 feet per hour.

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2 years ago

7(2+3x)+8, 12+3(8+x), and (7x+2)3+8x

suter [353]

Answer:

The first answer is 21x+22.

Second answer is 36+3x.

Third answer is 29x+6.

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1 year ago