Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t

To solve this question, follow the steps outlined below:

1. Since 1 yard equals 36 inches, to convert 50 yards to inches involves:

2. If he is standing 50 yards away from the school, and the map indicates that the school is 34 inches away from him, when it shows 3 inches the actual distance is:

3. If you express this back in yards:

Consequently, the answer is: 158.82 inches or 4.41 yards.

Answer:

6.79 miles

Step-by-step explanation:

Consider triangle ABC where A marks the starting point and C indicates the end point.

|AB|=5.2 miles

|BC|=3.0 miles

∠ABC = 90 + 75 = 165°

We're given two side lengths and an angle that is not opposite to either side.

The approach to resolve this scenario is known as the Cosine Rule.

Each side opposite an angle is designated by the corresponding lowercase letter.

The Cosine Rule asserts that:

b² = a² + c² - 2acCosB

|AC|²=3² + 5.2² - (2 × 5.2 × Cos 165°)

|AC|²=9 + 27.04 + 10.05

|AC|²=46.09

|AC|=√46.09=6.79 miles

Thus, the straight-line distance from A to C measures 6.79 miles

4 socks equal 1 pair of jeans
2 pairs of jeans equal 3 pairs of shoes
6 pairs of shoes equal 1 coat

Since 1 pair of jeans equals 4 socks, 2 jeans amount to 8 socks.
That means 8 socks correspond to 3 shoes.
If 3 shoes equal 8 socks, then 6 shoes would equal 16 socks.
Therefore, 16 socks are equivalent to 1 coat.
By this logic, 64 socks would translate to 64 divided by 16, which equals 4 coats.

Correct question:

An urn holds 3 red and 7 black balls. Players A and B take turns withdrawing balls until a red one is chosen. Calculate the probability that A picks the red ball. (A goes first, followed by B, with no replacement of drawn balls).

Answer:

The likelihood that A picks the red ball is 58.33 %

Step-by-step explanation:

A will select the red ball if it is drawn 1st, 3rd, 5th, or 7th.

1st draw: 9C2

3rd draw: 7C2

5th draw: 5C2

7th draw: 3C2

Calculating for all possible scenarios gives us:

9C2 = (9!) / (7!2!) = 36

7C2 = (7!) / (5!2!) = 21

5C2 = (5!) / (3!2!) = 10

3C2 = (3!) / (2!) = 3

Adding these possibilities results in 36 + 21 + 10 + 3 = 70.

The total outcomes for selecting a red ball = 10C3

10C3 = (10!) / (7!3!)

= 120.

The probability that A selects the red ball is determined by dividing the sum of possible events by the overall outcomes.

P( A selects the red ball) = 70 / 120

= 0.5833

= 58.33 %

The given expression is

Thus, in verbal form, we can express it as one eighth of a number.