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Gekata [30.6K]
3 years ago
11

Solve for z: 3/4z – 1 = 1/4(z + 8).

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer:

z=6

Step-by-step explanation:

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The scale on a map shows that 1 inch equals 5 feet. What is the distance between two points that are 8 inches apart on the map ?
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Find the measure of the complement of an 18 degree angle
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What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
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[area of one equilateral triangle]=b*h/2
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the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
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the answer is
the radius is 9 cm
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Circle has rad of 1.5m what angle subtended at center of circle by arc of 1m
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