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3 years ago

Help please. Having some trouble with this question

Mathematics

1 answer:

xeze [42]3 years ago

5 0

Answer:

The answer to your question is 55 ft

Step-by-step explanation:

Data

Person's height = 5 ft

Person's shadow = 10 ft

Tree's height = ?

Tree's shadow = 110 ft

- Use the Thales' theorem to solve this problem

Person's height / Person's shadow = Tree's height / Tree's shadow

- Substitution

5 / 10 = x / 110

-Solve for x

x = 5 (110) / 10

-Simplification

x = 550 / 10

-Result

x = 55 ft

-Conclusion

The tree is 55 ft height

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The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

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4 years ago

Describe the graph g < 0.6

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3 years ago

Lisa started to drive from Boston to Washington, DC, which is 440 miles away, at 8:00 AM. For the first four hours of her trip,

sukhopar [10]

Answer:

60 mph

Step-by-step explanation:

Given;

Total distance covered d = 440 miles

Average speed in the first 4 hours v1 = 50 mph

Total time taken for the whole trip t = 8:00 to 4:00pm

t = 16:00-8:00 = 8 hours

Firstly we need to calculate the distance covered during the first 4 hours;

d1 = average speed × time = v1 × t1

t1 = 4

d1 = 50 × 4 = 200 miles

Then we need to calculate the distance covered in the second period of the journey;

d = d1 + d2

d2 = d - d1

Substituting the values;

d2 = 440 - 200

d2 = 240 miles

The time taken for the second period of travel t2;

t2 = t -t1 = 8-4

t2 = 4 hours

Average speed = distance travelled ÷ time taken

The average speed for the second part of the trip v2 is;

v2 = d2 ÷ t2

Substituting t2 and d2;

v2 = 240 miles ÷ 4 hours

v2 = 60 mph

The average speed during the second part of the trip is 60 mph

3 0

3 years ago

The plot shown below describes the relationship between students' scores on the first exam in a class and their corresponding sc

DiKsa [7]

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Step-by-step explanation:

5 0

3 years ago

The table below shows the numbers of tickets sold at a movie theater on Friday.

prisoha [69]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday

= Sum of ( Adult + Children's ) tickets = 1,678 + 976 = 2,654 .... (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold = 2 times the number of adult tickets sold on Friday

= 1,678 x 2 = 3,356

Children's Tickets sold = 3 x the number of children's tickets sold on Friday.

= 976 x 3 = 2, 928

So, the total number of tickets sold on Saturday

= Sum of ( Adult + Children's ) tickets = 3,356 + 2,928 = 6, 284 .... (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 + 6, 284 = 8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0

3 years ago