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tia_tia [17]
2 years ago
13

A building casts a shadow that is 55 feet long. At the same time, a woman standing nearby who is 5 feet 3 inches tall casts a sh

adow that is 45 inches long. How tall is the building to the nearest foot?
Mathematics
2 answers:
Mariulka [41]2 years ago
4 0

Answer:Let x = height of building to the nearest foot.

x/63 = 660(45)

45x = 660(63)

45x = 41580

Step-by-step e x = 41580/45

x = 924 inches

x = 924 inches � 12 inches in a foot

x = 77 feet

olga_2 [115]2 years ago
3 0

Answer:

77ft ?

Step-by-step explanation:

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A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

7 0
3 years ago
What does it take to build a stadium? Explain, what should be inside it. The Square Feet & More
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Well a stadium should have benches a field a food stand bathrooms a hotbox and a building within it
6 0
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Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sal
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Answer: p= 1.25x + 70

5 0
3 years ago
Which is the best interpretation of the solution set for the compound inequality?
saw5 [17]

For this case we must find the solution set of the given inequalities:

Inequality 1:

3 (2x + 1)> 21

Applying distributive property on the left side of inequality:

6x + 3> 21

Subtracting 3 from both sides of the inequality:

6x> 21-3\\6x> 18

Dividing by 6 on both sides of the inequality:

x> \frac {18} {6}\\x> 3

Thus, the solution is given by all the values of "x" greater than 3.

Inequality 2:

4x + 3

Subtracting 3x from both sides of the inequality:

4x-3x + 3

Subtracting 3 from both sides of the inequality:

x

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The solution set is given by the union of the two solutions, that is, all real numbers.

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8 0
4 years ago
Write an exponential function in the form y = ab that goes through points (0,19)<br>and (5,4617).​
gtnhenbr [62]

Answer:

y = 1/2 (2)x

     Step-by-step explanation:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                             

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

3 0
3 years ago
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