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emmaphillips2
26.06.2019 •
Mathematics
Choose the correct description of the graph of the compound inequality 3x + 1 > 10 and 4x less than or equal to 20 a number line with an open circle on 3, a closed circle on 5, and shading in between a number line with an open circle on 3, shading to the left, and a closed circle on 5, shading to the right a number line with a closed circle on 3, shading to the left, and an open circle on 5, and shading to the right a number line with a closed circle on 3, an open circle on 5, and shading in between
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Ответ:
The graph is a number line with an open circle on 3, a closed circle on 5, and shading in between.
Step-by-step explanation:
We need to check the graph of the compound inequality:
3 x+1>10so on solving the first inequality
3x>10-1 (on subtracting both side by 1)
3x>9
x>3 ( on dividing both side by 3)
Hence, we get a region on a number line from (3,∞).
4 x≤20this inequality could also be written as:
x≤5 ( dividing both side of the inequality with 5)
Hence, we get a region on a number line from (-∞,5].
Hence, the intersection region from both the inequality is obtained as:
(3,∞)∩(-∞,5]=(3,5]
Hence, The graph of this compound inequality is a number line with an open circle on 3, a closed circle on 5, and shading in between.
The graphs are also attached to the answer.
Ответ:
Shania is correct.
Step-by-step explanation:
For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;
a/sin A = b/sinB
and
sin (angle) = opposite side/hypotenuse
cos (angle) = adjacent side/hypotenuse
tan (angle) = opposite/ adjacent
assuming a is the opposite side of angle A and b is also opposite of angle B
Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.
Hence, Shania is correct.