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tia_tia [17]
3 years ago
8

Choose the missing step in the given solution to the inequality ?x ? 3 < 13 + 3x. (1 point) ?x ? 3 < 13 + 3x _____________

__ ?4x < 16 x > ?4
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

4x=542

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Example A means

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3 years ago
Which of the values for x and y make the equation 2x + 3y + 4 = 15 true?
hjlf
X=1, y=3 because 2x1 is 2 and 3x3 is 9, 2 plus 9 equals 11 and 11 plus 4 equals 15
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Im pretty sure the answer is C.
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2 years ago
Special triangles 2 back
AleksAgata [21]

Answer:


Step-by-step explanation:

10. From the given figure,

\frac{18}{y}=sin60^{0}

y=\frac{36}{\sqrt{3}}

11. From the given figure,

\frac{12}{y}=sin60^{0}

y=\frac{12{\times}2}{\sqrt{3}}=\frac{24}{\sqrt{3}}

and \frac{x}{y}=cos60^{0}

x=\frac{24}{\sqrt{3}{\times}2}=\frac{12}{\sqrt{3}}

12. The sides of an equilateral triangle has length=10 inches, therefore AB=BC=AC=10

Also, AD is the height of the given triangle,then BD=DC=5

From triangle ADC,

(AC)^{2}=(AD)^{2}+(DC)^{2}

100=(AD)^{2}+25

75=(AD)^{2}

AD=\sqrt{75}inches

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13. Height of the ramp from the ground is 8ft.

therefore, let BC=x

\frac{8}{BC}=tan30^{0}

\frac{8}{x}=\frac{1}{\sqrt{3}}

x=8\sqrt{3}

14. Let BC=x and AB=y

then, \frac{x}{18}=cos30^{0}

x=18{\times}\frac{\sqrt{3}}{2}=9\sqrt{3}

and \frac{y}{x}=tan30^{0}

y=9

The perimeter of triangle is=Sum of all the sides=AB+BC+AC=9\sqrt{3}+9+18= 9\sqrt{3}+27=9(1.73)+27=42.57 inches

15. Let AB be the height of the tree, then

\frac{AB}{8}=tan30^{0}

AB=8{\times}\frac{1}{\sqrt{3}}=\frac{8}{1.73}=4.62m

16. According to question,

\frac{h}{24}=sin30^{0}

h=\frac{24}{2}=12ft

7 0
2 years ago
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