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1 day ago

In how many ways can you receive four cards of the same face value and one card from the other 48 available cards?

1 answer:

5 0

A deck contains 13 groups of 4 cards, indicating 13 unique ways to select four cards sharing the same face value. Any subsequent card drawn will necessarily represent a different face value. Consequently, the total combinations for selecting 5 cards—4 of which share the same face value and 1 diverging—amount to 13 x 48.

13 x 48 = 624.

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Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determin

Leona [9271]

The correct answer is C. 100

3 0

10 days ago

Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and the rest of the gang, too!) Adul

Svet_ta [9500]

I trust this information is useful to you.

Let a represent the number of adults.

Then, the number of children will be 500-a.

From here, we set up the equation: 17.95×a + 12.95×(500-a) = 7355.

This simplifies to 17.95a + 6475 - 12.95a = 7355.

Which results in 5a = 880.

Thus, a = 176.

3 0

1 month ago

Point T is the midpoint of RS, W is the midpoint of RT, and Z is the midpoint of WS. If the length of TZ is x, find the lengths

PIT_PIT [9117]

Let RS be denoted as y.

Given that T is the midpoint of RS, this results in RT = TS = $\frac{y}{2}$

And W acting as the midpoint of RT, leads to

thus RW = WT = $\frac{\frac{y}{2} }{2} = \frac{y}{4}$

Given that Z is the midpoint of WS.

Meaning WZ = ZS = $\frac{WS}{2} = \frac{WT+TS}{2} = \frac{(\frac{y}{4} +\frac{y}{2} )}{2} =\frac{3y}{8}$

Consequently, TZ = TS - ZS = $\frac{y}{2} -\frac{3y}{8} = \frac{4y-3y}{8} = \frac{y}{8}$

However, TZ is defined as x.

Thus, $\frac{y}{8} = x$

y = 8x = RS.

A) Length of RW = $\frac{y}{4} = \frac{8x}{4} = 2x$

B) Length of WZ = $\frac{3y}{8} =\frac{3*8x}{8} = 3x$

C) Length of RS = y = 8x

D) Length of ZS = WZ = 3x.

An image is provided for clarification.

8 0

4 days ago

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: ABC is a right triang

Inessa [9000]

*Refer to the image attached below

Answer:

346.4 ft

Step-by-step Explanation:

The distance between the boats, CD = BD - BC

Using trigonometry, find the length of BD in triangle ∆ABD and also calculate the length of BC in triangle ABC.

Length of BD in triangle ABD:

Opposite side to <30° = 300 ft

Adjacent side = BD

$tan(30) = \frac{300}{BD}$

$BD*tan(30) = 300$

Divide both sides by tan(30)

$\frac{BD*tan(30)}{tan(30)} = \frac{300}{tan(30)}$

$BD = 519.6 ft$ (rounded to nearest tenth)

Length of BC in triangle ABC:

Opposite side to <60° = 300 ft

Adjacent side = BC

$tan(60) = \frac{300}{BC}$

$BC*tan(60) = 300$

Divide both sides by tan(60)

$\frac{BC*tan(60)}{tan(60)} = \frac{300}{tan(60)}$

$BC = 173.2 ft$ (rounded to nearest tenth)

The distance, CD, between the boats is calculated as BD - BC

= 519.6 - 173.2 = 346.4 ft

4 0

27 days ago

Read 2 more answers

Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found that solution.

tester [8842]

I have included a screenshot of the entire question along with its accompanying diagram.

Answer:
∠1 = 163°

Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°

2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°

I hope this clarifies things!:)

3 0

27 days ago

Read 2 more answers