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SashulF [63]
3 years ago
6

20×+12>14×+30 A. ×<3 B.×<7 C.×>7 D.×>3

Mathematics
1 answer:
faust18 [17]3 years ago
3 0
20x+12>14x+30
20x-14x>30-12
6x>18
x>3
D.x>3
brainliest pls!
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PLEASE HELP
irina [24]

Answer:

12\sqrt{3} feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 1:\sqrt{3} :2

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12

Solving for x, we find that

x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36  \sqrt{3} }{3} = 12\sqrt{3}

So the length of the original pole would be 12\sqrt{3} feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0
2 years ago
100 POINTS!!! VERY URGENT
Marta_Voda [28]

Answer:

<u>D) (f o g)(x) = 10x² - 60x + 93</u>

Step-by-step explanation:

f(x) = 10x² + 3

g(x) = x - 3

⇒ (f o g)(x)

⇒ f(x - 3)

⇒ f(x - 3) = 10(x - 3)² + 3

⇒ f(x - 3) = 10(x² - 6x + 9) + 3

⇒ f(x - 3) = 10x² - 60x + 90 + 3

⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>

6 0
2 years ago
Read 2 more answers
If h(x) = (f o g)(x) and h(x) = ∛7x+1, find f(x) and g(x)
Mariana [72]
There's more than one way to combine them really
but an obvious one will be

\bf \begin{array}{llll}&#10;h(x)&=&(f\circ g)(x)\\\\&#10;&&\sqrt[3]{7x+1}\\\\&#10;&&\sqrt[3]{g(x)}\leftarrow &#10;\begin{array}{llll}&#10;f(x)=\sqrt[3]{x }\\\\&#10;g(x)=7x+1&#10;\end{array}&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;(f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies  f[\quad g(x)\quad ]=\sqrt[3]{7x+1}
7 0
3 years ago
Subtract −b+3 ​​from −11b−4 ​. What is the answer?
monitta
-11b-4 - -b+3 = -10b-7
5 0
3 years ago
Read 2 more answers
Variable y varies directly with variable x, and y = 6 when x = 20.
-BARSIC- [3]
In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3
7 0
3 years ago
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