ABCD is a quadrilateral work out CD
1 answer:
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
<h3>What is trigonometry?</h3>The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
On further solving, the value of CD will be
CD = 25.98
More about the trigonometry link is given below.
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Answer:
Both will be at the same page after 6.5 days and the page number will be 180.
Step-by-step explanation:
Let after x days Nora and Lila will be at the same page.
Nora is on page 128 and plans to read 8 pages per day until the next club meeting.
After x days Nora will be at the page number = 128 + 8x
Similarly, Lila is on page 102 and she reads 12 pages per day.
After x days Lila will be on page number = 102 + 12x
Since after x days they will be at the same page
Therefore, 128 + 8x = 102 + 12x
12x - 8x = 128 - 102
4x = 26
x =
x = 6.5 days
Page number they will be on = 128 + 8(6.5)
= 128 + 52
= 180
Both will be at the same page after 6.5 days and the page number will be 180.