Twenty five meters converted to yards is 27.34. For the second bit, 18 inches is 1.5 feet so we divide 27.34 by 1.5. He will be able to floss 18 patients.
Answer:
x=110, y=50
Step-by-step explanation:
Draw a line perpendicular to the base CD from point A. The point of intersection is E. Angle AED=90 degrees. This is a right angle triangle. A triangle has a total angle of 180 degrees. Angle DAE is then 180-(90+70) = 20. The bases of a trapezoid are parallel to each other, making angle EAB a right angle. Add 90 + 20, and you'll get 110 degrees. This is the value of x.
Draw another line perpendicular to the base CD, this time from point B. The point of intersection is F. Angle ABF is 90 degrees. Angle FBC is 130-90=40. Angle BFC is also 90 degrees. You once again find the difference of the numbers from 180. 180-(40+90)=180-130=50. y=50 degrees.
Let's divide this question into two parts:
1. Choosing any 3 digit number.
2. Find the number that is 10 more.
1. Let choose the number 111. As you can see it is the three digit number.
2. Now to find the 10 more to 111, we have to add 10 to 111 as follows:
111
+10
--------
121
Hence, the 10 more to the number 111 is 121.
Answer:
r = 14 :))))))))))))))))))
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
