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earnstyle [38]
3 years ago
5

1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Mathematics
2 answers:
bazaltina [42]3 years ago
5 0

Answer:

not safe it is 78.5 degrees

Step-by-step explanation:

Zielflug [23.3K]3 years ago
4 0

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

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USPshnik [31]

Answer:

y = - 12x - 47

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 12x - 2 ← is in slope- intercept form

with slope m = - 12

Parallel lines have equal slopes, thus

y = - 12x + c ← is the partial equation

To find c substitute (- 4, 1 ) into the partial equation

1 = 48 + c ⇒ c = 1 - 48 = - 47

y = - 12x - 47 ← equation of parallel line

7 0
4 years ago
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Leni [432]

Answer:

-9 I guess

Step-by-step explanation:

cuz risen means it got higher and -12 +5 is -7and again it droped means it got colder and -7+2 is -9

5 0
3 years ago
At a restaurant mike and his three friends decide to divide the bill evening. If each person paid 13 then what was the total bil
Hatshy [7]
At a restaurant Mike and his three friends that means that there was four people splitting the bill. If each of them paid $13 then the bill was $52

4 * 13 = $52
8 0
3 years ago
The circular bull’s-eye of an archery target has a diameter of 24 cm, which is surrounded by 4 concentric rings with a width of
kompoz [17]
Given:

Target bull's eye with a diameter of 24 centimeters.
4 concentric rings with a width of 12 cm each.

First circle, d1 = 24 cm
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7 0
3 years ago
Select the sentence that is written informally.
alex41 [277]

Answer:

I would assume that "It's always awesome to check out new video games" is the informal sentence.

Step-by-step explanation:

Awesome is an informal word as it is a slang, words that qualify to be used formally but resemble "Awesome" include  "Astonoshing",  "Astounding", "Fabulous" and such.

7 0
3 years ago
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