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nikitadnepr [17]
2 years ago
7

lighting if a 25-foot-tall house cast a 75-foot shadow at the same time that a streetlight casts a 60-foot shadow how tall is th

e streetlight
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60      Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x =  60 * 25     Combine the right

75x = 1500          Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.

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A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
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<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

7 0
3 years ago
What is 6 divided by 0.5
lys-0071 [83]

Answer:

12

Step-by-step explanation:

8 0
2 years ago
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James and Sarah went out to lunch. The price of lunch for both of them was $40. They tipped their server 20% of that amount. How
zmey [24]

Answer:

Each person paid $24.

Step-by-step explanation:

1. Find 20% of 40. Since 20% is equal to 1/5, we can divide 40 by 5 to get 8. Together they tipped $8.

2. We know that the total amount they paid was $48, so we divide that in half to get the answer. 48 divided by 2 is 24.

4 0
2 years ago
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100 point!!!
jok3333 [9.3K]

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

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Coriander: 35 g

Cumin Seeds: 20 g

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For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

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For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

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45 g for Turmeric

4 0
3 years ago
Complete the square and wright in standard form x^2+y^2-8x-12+52=36
Sphinxa [80]
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(h, k) = (x, y) = (4, 6)

5 0
3 years ago
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