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Zigmanuir [339]
3 years ago
5

Mike is putting a ladder up against his mothers house to clean the roof. His mothers house is 24 feet tall and he is placing the

base of his ladder 7 feet away from the bottom of the house. How long is the ladder he is using
Mathematics
1 answer:
levacccp [35]3 years ago
3 0

The length of the ladder is 25 feet.

<u>Explanation:</u>

Height of the House, h = 24 feet

Distance between the house and the ladder, b = 7 feet

length of the ladder, x = ?

The house makes 90° with the base of the ladder.

Using pythagoras  theorm,

x² = h² + b²

x² = (24)² + (7)²

x = √625

x = 25

Therefore, the length of the ladder is 25 feet.

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If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.​
Law Incorporation [45]

Answer:

y = 3\, \sqrt{5} when x = 9.

Step-by-step explanation:

The question states that y is proportional to \sqrt{x}. In other words, there is a constant a (a \ne 0) such that y = a\, \sqrt{x} for all x \ge 0.

The question also states that y = x when x = 5. Make use of this equality to find the value of a.

Since x = 5 and y = x, it must be true that y = 5. Substitute x = 5\! and y = 5\! into the equation y = a\, \sqrt{x} and solve for a:

5 = a\, \sqrt{5}.

\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}.

Thus, y = \sqrt{5}\, (\sqrt{x}) for all x \ge 0.

Substitute in the value x = 9 to find the corresponding value of y:

\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}.

6 0
2 years ago
Can u help with this plzz
Rama09 [41]

Answer:

Umm, it's just a black screen

Step-by-step explanation:

My only answer is that you turn a light on or something.Where's the question?

8 0
3 years ago
How many kilometers could the red car travel in 12 hours?
omeli [17]
Cars usually on the freeway drive at 60 miles per hour or 96.56064 kilometers per hour. Speed x distance = result of kilometers or miles. In this case it is 96.56064 times 12 equals 1158.72768 kilometers per 12 hours.
8 0
3 years ago
I don't really understand it's due soon can someone please help me​
katrin [286]

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

5 0
3 years ago
Read 2 more answers
What does fewer than mean
Art [367]

Answer:

Fewer than means that something is less than another thing. For example, the number 2 is fewer than the number 4. There's also this cool symbol that you can use instead of writing the words 'fewer than'. You could say for example 2<4. A fun way to remember which way the symbol points is to imagine it like an alligator, the number 2 is trying to eat the number 4 to grow!

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
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