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lapo4ka [179]
3 years ago
9

A judiciary committee of 5 is to be selected from a group of 5 democrats and 6 republicans, in such a way that there are at leas

t two members from each party on the subcommittee. determine the number of ways that this subcommittee can be chosen.
Mathematics
1 answer:
Tresset [83]3 years ago
8 0

What are the options?  Note that "and" means multiply and "or" means addition

(2 democrats and 3 republicans) OR (3 democrats and 2 republicans)

       5 x 4         x          6 x 5 x 4      +         5 x 4 x 3    x       6 x 5

          20          x          120               +          60            x         30

                   2400                              +                    1800

                                                     40,000  

Answer: 40,000


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For this case, what we must do is solve the following system of equations:
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 tan (40) = h / (x + 50)
 Solving the system we have:
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 (x) * tan (50) = h
 Matching:
 (x + 50) * tan (40) = (x) * tan (50)
 Rewriting:
 x (tan (50) - tan (40)) = 50 * tan (40)
 x = 50 * tan (40) / (tan (50) - tan (40))
 x = 118.9692621
 Substituting:
 h = (x) * tan (50)
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 h = 141.7820455
 Answer:
 
The height of the building is:
 
h = 141.7820455 ft
5 0
3 years ago
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What value of a makes the equation true?<br><br><br><br> 1.7a+0.3a=4/5<br> btw 4/5 is a fraction
andreyandreev [35.5K]
1.7a + 0.3a = 0.8;
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5 0
3 years ago
The pyramid below has a square base.
zavuch27 [327]

The volume of the pyramid would be 2406.16 cubic cm.

<h3>How to find the volume of a square-based right pyramid?</h3>

Supposing that:

The length of the sides of the square base of the pyramid has = b units

The height of the considered square-based pyramid = h units,

The pyramid below has a square base.

h = 24.4 cm

b = 17.2 cm

Then, its volume is given by:

V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3

V = \dfrac{1}{3} \times 17.2^2 \times 24.4 \: \rm unit^3\\\\V = 2406.16

Therefore, the volume of the pyramid would be 2406.16 cubic cm.

Learn more about pyramid;

brainly.com/question/20324485

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3 0
2 years ago
Population Growth The population of a town of 5000
Nesterboy [21]

Answer:

a) A=5000{(1.03)}^{t}

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}

b) Apply the formula:

A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464

The town will have 5464 inhabitants.

5 0
3 years ago
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does J
grandymaker [24]
<h2>Answer:</h2>

<u>Answer is 10 </u>

Step-by-step explanation:

I hope this is correct!

8 0
3 years ago
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