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3 years ago

What is the probability that the dart lands within the dartboard?

Mathematics

1 answer:

V125BC [204]3 years ago

8 0

Step-by-step explanation:

darts are thrown (equal probability of landing anywhere on the dart board). What's the probability that they all land on a same half of the dart board?

Edit: I know the first 2 darts can land anywhere but don't know how to find the probability that the 3rd lands in an acceptable region.

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What is the value of x.

Phantasy [73]

8^2-6^2=28
the square root of 28 is 5.29
5.29×2=10.58
x=10.58

7 0

3 years ago

Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-5) and (x-6)

meriva

x-5= 0

move -5 to the other side

sign changes from -5 to +5

x-5+5= 0+5

x= 5

x-6= 0

x-6+6= 0+6

x= 6

Answer: B. 5 and 6

5 0

2 years ago

Read 2 more answers

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

Step 1: Formula for perimeter of rectangle

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

Step 2: Find the length and width in terms of x

Width = x

Length = 1.5 times width

Length = 1.5x

Step 3: Find x

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

Step 4: Find the length and width

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0

2 years ago

Solve the inequality. -12 < 1/2(x+16) < 18

lana66690 [7]

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

3 0

2 years ago

Given: ∆ABC, AC = 12, AB = BC = 10 Find: m∠A, m∠C, m∠B

4vir4ik [10]

Answer:

m∠A ≈ 53.13°
m∠B ≈ 73.74°
m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

m∠A = m∠C ≈ 53.13°

m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

3 0

3 years ago