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Marta_Voda [28]
3 years ago
5

For the senior-class election, 8 candidates are running for president and 6 for vice-president. Use the Fundamental Counting Pri

nciple to calculate the total number of class officer combinations available.
A.
14

B.
36

C.
48

D.
64
Mathematics
1 answer:
KIM [24]3 years ago
5 0

answer : 48

For the senior-class election, 8 candidates are running for president and 6 for vice-president.

the Fundamental Counting Principle states that if we have two events,

Event 1 occurs in 'm' ways and Event 2 occurs in 'n' ways

The total combination of events is m * n

8 candidates are running for president and 6 for vice-president

so total number of class combinations = 8 * 6 = 48

Answer = 48

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Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that x^{2} =pz

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and  Δ ADB in the attached file , ∠A is common in both triangles

                                                                     and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

\frac{x}{z}= \frac{p}{x}

Cross multiply

x^{2}=pz

Hence proved.


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3 years ago
Asking costs 5 points and then choosing a best answer earns you 3 points!
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