Ask question

Ask question

All categories

3 years ago

6

Maderas mayor is watching a car from the ledge of the water tower. The car is directly approaching the water tower. When first n

oticed, the angle of depression to the car is 58 degrees. When the car stops the angle of depression is 77 degrees. The mayors line of sight is 127 feet above the ground.

1 answer:

Alisiya [41]3 years ago

4 0

Answer:

50 ft

Step-by-step explanation:

You might be interested in

Help please due tonight <br><br>50 points + brainliest

Leviafan [203]

Answer:

7. -37/36 or -1 1/36

8. -3/10

9. 1/24

10. -118/21 or -5 13/21

11. 97/12 or 8 1/12

12. 49/8 or 6 1/8

Step-by-step explanation:

To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.

7. $-\frac{1}{4}-\frac{7}{9}$ Find a common denominator

$=-\frac{1*9}{4*9}-\frac{7*4}{9*4}$

$=-\frac{9}{36}-\frac{28}{36}$

$=\frac{-9-28}{36}$ Combine the fractions

$=\frac{-37}{36}$ Answer. Already in lowest terms.

$=-1\frac{1}{36}$ Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)

8. $\frac{3}{5}-\frac{9}{10}$ Find a common denominator

$=\frac{3*2}{5*2}-\frac{9}{10}$

$=\frac{6}{10}-\frac{9}{10}$

$=\frac{6-9}{10}$ Combine the fractions

$=\frac{-3}{10}$ Answer in simplest form.

9. $\frac{5}{8}-\frac{7}{12}$ Find common denominator

$=\frac{5*3}{8*3}-\frac{7*2}{12*2}$

$=\frac{15}{24}-\frac{14}{24}$

$=\frac{15-14}{24}$ Combine the fractions

$=\frac{1}{24}$ Answer in simplest form

10. $-1\frac{1}{3}-4\frac{2}{7}$ Translate to improper fraction

$=-\frac{4}{3}-\frac{30}{7}$ Multiplied each whole number with base, added to numerator

$=-\frac{28}{21}-\frac{90}{21}$ Found common denominator

$=\frac{-28-90}{21}$ Combined fractions

$=\frac{-118}{21}$ Answer in improper form

$=-5\frac{13}{21}$ Answer as a mixed number

11. $5\frac{5}{6}-(-2\frac{1}{4})$ Convert to improper fraction

$\frac{35}{6}-(-\frac{9}{4})$ Two minuses make a plus

$=\frac{35}{6}+\frac{9}{4}$ Find common denominator

$=\frac{35*2}{6*2}+\frac{9*3}{4*3}$

$=\frac{70}{12}+\frac{27}{12}$

$=\frac{70+27}{12}$ Combined fractions

$=\frac{97}{12}$ Answer as improper fraction

$=8\frac{1}{12}$ Answer as mixed fraction

12. $12\frac{1}{2}-6\frac{3}{8}$ Convert to improper fraction

$\frac{25}{2}-\frac{51}{8}$

$\frac{25*4}{2*4}-\frac{51}{8}$ Find common denominator

$\frac{100}{8}-\frac{51}{8}$

$\frac{100-51}{8}$ Combined fractions

$\frac{49}{8}$ Answer as improper fraction

$8\frac{1}{8}$ Answer as mixed number

5 0

3 years ago

Which is the best estimate for the percentage of the attendance at Yamabushi Club being women? HHHHHHHHHEEEEEEEEEEEEEELLLLLLLLLP

seropon [69]

Answer: D

Step-by-step explanation:

The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).

4 0

3 years ago

math problem: Amanda worked 4.5 hours on Tuesday and 5.2 on Thursday. Her pay rate is $10.50 per hour. How much will Amanda get

kondor19780726 [428]

Answer:

$101.85

Step-by-step explanation:

Think of the two days as separate equations. They are added together to get a sum of the pay she will receive after the two days.

Equation

(4.5*10.5) + (5.2*10.5) = x (This just represents the unknown value)

Solve Through

(47.25) + (54.60) = x

47.25 + 54.60 = x

101.85 = x

Amanda will get paid $101.85 For her 2 days of work.

7 0

3 years ago

For each pair of shapes, decide whether or not Shape A is congruent to Shape B. Explain your reasoning.

WINSTONCH [101]

Shape A is congruent to Shape B because If you were to rotate one of the two and flip it the would like up and match.

5 0

3 years ago

Wht does ^ this mean?

Ainat [17]

Answer:

Concept: Analysis

The carrot means an exponent.
${x}^{2}$
It means something like x^2

8 0

3 years ago