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maxonik [38]
3 years ago
5

a building is 2ft from a 12 ft fence that surrounds the property a worker wants to wash a window in the building 17 ft from the

ground he plans to place a ladder over the fence so it rests against the building .he decides he should place the ladder 9 ft from the fence for stability to the nearest tenth of a food how long a ladder will he need

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
Check the picture below.

so, that'd be 20.24845673131658693325, and to the nearest tenth it'd then be 20.2   

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Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Irina18 [472]

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = \frac{2}{3}

(x, y) → (\frac{2}{3}x, \frac{2}{3}y)

By this rule coordinates of the image points of A and B will be,

A(8, 6) → A'(\frac{2\times 8}{3},\frac{2\times 6}{3})

           → A'(5.3, 4)

B(12, 12) → B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of \frac{2}{3}.

5 0
3 years ago
Solve the following problems<br><br>Answer:<br><br><br><br><br><br>Explanatoin:<br><br><br>​
NemiM [27]
Answer:
1) 121.7
2) 131.8
3) 106.2
4) 88.5
5) 90.3
6) 110.2

Explanation:
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8 0
3 years ago
Solve for the area using heron´s formula
Vadim26 [7]

9514 1404 393

Answer:

  252.8 cm²

Step-by-step explanation:

The missing side of the right triangle can be found from the Pythagorean theorem:

  s² = 20² -16² = 400 -256 = 144

  s = 12 . . . . cm

The area of a right triangle is more easily found using the traditional area formula:

  A = 1/2bh

  A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)

The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...

  s = (16 +20 +23)/2 = 29.5

The area is ...

  A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)

  A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)

Then the total area of the figure is ...

  A = 96 cm² +156.818 cm² = 252.818 cm² . . . . total area

4 0
3 years ago
Read 2 more answers
Tim can type 30 words in 3/4 of a min. Justin can type 32 words in 4/5 of a min. How many words can Tim and Justin type Altogeth
galben [10]
Lets break this down. One minute is 60 seconds, so to find out what 3/4ths of a minute is we would divide 60 by 4 and that would give us 15; but thats only 1/4th of a minute. So to get 3/4ths we take the 15 and multiply that by 3 and we get 45. So if Tim can write 30 words in 45 seconds then he is writing about 0.6 words a second. We repeat that process for Justins words per second and we get 0.6 once again. we then add 0.6 and 0.6 together to get they're combined words per second and we come up with 1.3. Stay with me were almost done! Now we know that together Justin and Tim write 1.3 words a second so if we multiply 1.3 by 60 we now know that combined they write 78 words a minute now we multiply that by 5 and we see that altogether in 5 minutes they write about 390 words.
4 0
3 years ago
Could anyone help with this?
exis [7]

Answer: The answer is D


Step-by-step explanation: Take the height x 1.5 and base x 1.5



7 0
3 years ago
Read 2 more answers
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