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QveST [7]
3 years ago
15

The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet long. How high is the dock, rou

nded to the nearest hundredth? Answer the question in the box below, showing ALL the work.

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

The dock is 4.58\ ft high

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

Let

x------> the height of the dock

11^{2}=x^{2} +10^{2}

Solve for x

x^{2}=11^{2}-10^{2}

x^{2}=121-100

x^{2}=21

x=\sqrt{21}\ ft

x=4.58\ ft

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3 years ago
If f(x) =-2+8 and g(x) = square root of x+9 which statement is true
lidiya [134]

The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = \sqrt{x + 9, which statement is true?

  • -6 is in the domain of f(g(x))
  • -6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

g(x) = \sqrt{x + 9

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute g(x) = \sqrt{x + 9

f(g(x)) = -2\sqrt{x + 9} + 8

Set the radicand to at least 0

x + 9 \ge 0

Subtract 9 from both sides

x \ge -9

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

brainly.com/question/24539784

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3 0
1 year ago
Which is the graph for y=(x)-2? ​
Alex
The shape of this graph is

8 0
2 years ago
A rectangle is 3 times as long as it is wide. the perimeter is 16 feet. find the dimensions ​
astraxan [27]

Answer:

Width = 2 feet

Length = 6 feet

Explanation:

Variables:

Perimeter = p

Length = l

Width = w

Equation:

2w + 2l = p

It is given that:

l = 3w

and

p = 16 feet

With this information, we can rewrite the equation (substitute)

2w + 2(3w) = 16

Simplify

2w + 6w = 16

Add

8w = 16

Divide both sides of the equation by 8

Width = 2 feet

Length = 3(w) = 3(2) = 6 feet

Hope this helps :)

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2 years ago
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Answer:

Large umber is 11, small one 7

Step-by-step explanation:

11- 4 =7

7+11=18

5 0
2 years ago
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