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gulaghasi [49]
3 years ago
6

I need help plz find the constant rate

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

- 5 °F/h

Step-by-step explanation:

the constant rate = slope = rise / run = -5/1 = - 5 °F/h

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Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bo
statuscvo [17]

Answer:

2.08 meters

Step-by-step explanation:

From the diagram attached :

We can calculate the height of the shorter building using trigonometry :

s = Height of shorter building

t = height of taller building

Tanθ = opposite / Adjacent

θ = 36°

Adjacent = 12, opposite = s

Tan36° = s / 12

0.7265425 × 12 = s

s = 8.72 meters

s = height of shorter building 8.72 meters ( 2 decimal places)

Height of taller building :

Tanθ = opposite / Adjacent

θ = 48°

Adjacent = t ; opposite = 12

Tan48° = 12 / t

1.1106125 = 12 / t

1.1106125 × t = 12

t = 12 / 1.1106125

t = 10.80 meters ( 2 decimal places)

Height of Taller building = 10.80 meters

Difference in height :

(10.80m - 8.72m) = 2.08 meters

8 0
3 years ago
Which of the following pairs of lines are perpendicular? Select all that apply.
nataly862011 [7]

Answer:

y  = \frac{4}{5} x - 8

y = -\frac{5x}{4} + 3

y  = \frac{2}{3} x - 8

y = \frac{-3}{2}x - 8

Step-by-step explanation:

To know the pairs that are perpendicular lines, we need to understand what makes a line perpendicular to another.

Perpendicular lines generally have slopes;

      m and -\frac{1}{m}

So, any of the pairs with a negative inverse value of slope will be perpendicular.

     y  = \frac{4}{5} x - 8         slope = \frac{4}{5}

     y = -\frac{5x}{4} + 3       slope  = -\frac{5}{4}

We see they are negative inverses

     y  = \frac{2}{3} x - 8         slope  = \frac{2}{3}

     y = \frac{-3}{2}x - 8        slope = -\frac{3}{2}

These are also negative inverses.

4 0
3 years ago
1 3/5 divided by 4 is what
yuradex [85]

Answer:

2/5.

Step-by-step explanation:

1 3/5 / 4

= 8/5 / 4

= 8/5 * 1/4

= 8/20

= 2/5.

5 0
2 years ago
Solve for slope y=4x+6
Semmy [17]

Answer:

4

Step-by-step explanation:

y = mx+b where m is slope so the slope is 4

3 0
3 years ago
Read 2 more answers
The Houston rockets scored 66 points in the second half. There are 24 minutes in a half. What was the average number of points p
anastassius [24]
The answer is 2.75, I believe.
3 0
3 years ago
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