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Vlada [557]
3 years ago
14

A 24 foot ladder is placed against a building at an angle of 75⁰. How far is the bottom of the ladder from the building?

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0
24ft is the hypotenuse, at an angle of 75<span>⁰, and we need to find the adjacent.

We use cos(), which is adjacent divided by hypotenuse.

Therefore, we can find the adjacent by doing:

25 * cos(75) = 6.47ft

Round the answer however you like.</span>
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Rebecca solved
Nuetrik [128]

No.

\sqrt{45}=3\sqrt{5}  \\2\sqrt{20} =2\sqrt5}

If you add them up you DO NOT GET 5\sqrt{5}. According to mathematics, it equals to 7\sqrt{5}.

8 0
3 years ago
Help! It says that I need to determine If both equations represent lines which are parallel, perpendicular, or none...
12345 [234]
    4x + 2y = 8     (1)
    8x + 4y = -4y  (2)

A) Two lines are parallel if they have the same gradient
       - putting both equations into the gradient- intercept form ( y = mx + c                where m is the gradient)
            (1) 4x + 2y = 8
                          2y = 8 - 4x
                            y = -2x + 4
             
            (2) 8x + 4y = -4y
      <span>                    </span>8x = -4y - 4y
                            y = \frac{-8x}{-8}
                            y = -x
   <span>Thus the gradient of the two equations are different and as such          the two lines are not parallel
</span>
B)  When two lines are perpendicular, the product of their gradient is -1
                   m_{1} * m_{2} = p
                                             p = (-2) * (-1)
                                             p =  2
<span>          ∴ the two lines are not perpendicular either.</span>

Thus these lines are SKEWED LINES

4 0
3 years ago
Question 374756: Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
Dvinal [7]

Let the number of hours = X

Multiply the speed of each train by the number of hours (x) and add them together to equal the total miles:

75x + 95x = 238

Simplify:

170x = 238

Divide both sides by 170:

x = 238/170

x = 1.4 hours.

Check:

75 x 1.4 = 105 miles

95 x 1.4 = 133 miles

105 + 133 = 238 miles

It will take 1.4 hours ( 1 hour and 24 minutes).

3 0
4 years ago
How do you solve 25x = (1/125)^(4x-5)
amm1812

Step-by-step explanation:

Step 1: 25*x-((1/125)^(4*x-5))=0

step 2: simplify 1/125

step 3: 25x-(1/125)(4x-5)=0

pls i need one more brainly

6 0
3 years ago
Read 2 more answers
14/7x8-35/7x2 help me simplify using order of operations
zlopas [31]
4116 first answer 7 times 8 subtract 35.Second multiply by 14.Lastly solve 7 times 2 and multiply it by what you got multiplying 14.
3 0
3 years ago
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