Check picture below
keep in mind that, one revolution, or a full circle is
keep in mind that, one revolution, or a full circle is
Write an algebraic expression for the following: The sum of 8 and x minus 3.
2 answers:
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Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
The number of ounces of cereal in the third box is 32.
<u>Explanation:</u>
Given-
10 oy box = $3
Price of 1 ounce box = $3/10
= $0.3
20 oy box = $5
Price of 1 oy box = $5/20
= $0.25
Therefore, it is beneficial to buy a 20 oy box as it is comparatively cheaper than the 10 oy box.
Third box of cereal = $8
$5 is the price of 20 oy box
$8 will be the price of x oy box
So,
Therefore, the number of ounces of cereal in the third box is 32.