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lyudmila [28]
3 years ago
12

A ladder leans against a building forming an angle of 50° with the ground. The base of the ladder is 8 feet from the building. W

hat is the length of the ladder?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

The correct answer is 12.446 feet.

Step-by-step explanation:

A ladder leans against a building forming an angle of 50° with the ground.

The base of the given ladder is 8 feet away from the building.

Let the length of the ladder that is to be found be x feet.

Thus we find the cosine of the angle of inclination.

∴ cos 50° = \frac{8}{x}

⇒ x = 12.446 feet

Therefore the length of the ladder is 12.446 feet.

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Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.
nata0808 [166]
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0
3 years ago
What is 3 4/11 as an improper fraction?
krek1111 [17]
37/11 is correct just multiply 3*11 and add four
5 0
3 years ago
Solve for X, will give you brainliest and a like
grigory [225]

Answer

Step-by-step explanation:

One solution  :

             x = -1/3 = -0.333

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               -5*(3*x+1)+4*x-(10*x+2)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((0 -  5 • (3x + 1)) +  4x) -  (10x + 2)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -21x - 7  =   -7 • (3x + 1)

Equation at the end of step  3  :

 -7 • (3x + 1)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -7   =  0

4 0
3 years ago
Read 2 more answers
What's
Iteru [2.4K]

Answer:

374/105.

Step-by-step explanation:

1/3 of 8 * 2/7

= 1/3 * 8 * 2/7

= 8/3 * 2/7

= 16/21.

2/5 of 7

=  2/5 * 7

= 14/5.

Adding 16/21 + 14/5

= 80 / 105 + (14*21) / 105

=  80/105 + 294/105

= 374/105.

8 0
3 years ago
Help pleasee! Thank uu
ololo11 [35]

Answer:

The answer is the 2nd option

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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