Answer:
12.5
Step-by-step explanation:
square root of 10^2 - 8^2 = 6 gives us missing side
sin^-1(8/10) = 53.13 gives us half of the angle
90-53.13 = 36.869 gives us the angle of the triangle on the right
tan(36.869) x 6 = 4.5
4.5 + 8 = 12.5
Hope that helps,
Good Luck! x
Answer = -4
Step-by-Step Explanation:
Given: x = 2, y = -9
Therefore, substituting the values
= 7x + 2y
= 7(2) + 2(-9)
= 14 + -18
= 14 - 18
= -4
<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
Answer:
6.9 in²
Step-by-step explanation:
(4×8)-(2×3.14×2²)
= 32 - 25.12
= 6.9
41 necklaces can be made using 2017 beads where 49 beads are used to make 1 necklace.
The total number of beads for making jewelry with Yer = 2017
Beads require to make 1 necklace = 49 beads
The number of necklaces that can be made using 2017 beads when 49 beads are required to make 1 necklace will be:
Number of necklace = 2017 / 49
Number of necklace = 41.16
That is 41 necklaces can be made using 2017 beads where 49 beads are used to make 1 necklace.
Therefore, 41 necklaces can be made using 2017 beads where 49 beads are used to make 1 necklace.
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