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Marina CMI [18]
3 years ago
9

Determine the slope of the line that passes through (2, 2) and (5,8)

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:2

Step-by-step explanation:

Slope = rise/run = (8-2)/(5-2) = 6/3 = 2

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
Write the equation for the line that goes through the point (5, 12) with a slope m = 10​
Iteru [2.4K]

Answer:

<u>Point-slope form</u>:  y - 12 = 10 (x - 5)

<u>Slope-Intercept form</u>:  y= 10x - 38

Step-by-step explanation:

 im not fully sure which equation ur looking for but i think thats right lol. hopefully this helps ! :)

3 0
3 years ago
7/9 divided by 3/9 draw a model please help ASAP
Free_Kalibri [48]

Answer:

7/3

Step-by-step explanation:

i hope this works :)

6 0
3 years ago
the drama club has sold 942 tickets to their play if their theater seats 57 each row how many full rows were there be how many e
Alona [7]

Since 57x17=969 I did 969-942 and got 27 so there is 16 full rows and then 27 left over so that means it won’t be a full row but 27 extra seats will be filled. (If your wondering where the 17 came from that’s how many rows can be made that’s over 942 because if I did 57x16 it would equal 912 and I would not have had a full row of chairs)

3 0
3 years ago
The sum of two numbers is 50 and the difference is 12. What are the numbers?
Strike441 [17]

Answer:

The two numbers are 31 and 19

Step-by-step explanation:

Let x and y be the numbers

x+y = 50

x-y = 12

Add the two equations together

x+y = 50

x-y = 12

-----------------

2x +0y = 62

Divide by 2

2x/2 = 62/2

x = 31

Now find y

31+y = 50

Subtract 31

y = 50-31

y = 19

3 0
3 years ago
Read 2 more answers
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