Answer: 43.6 (Rounded to the tenth)
Explanation: Use the method of: SOH CAH TOA.
Using TOA, T = Tangent.
tan(71) = x/15. Using the butterfly method you can just do the following equation:
15 tan(71) = 43.56 (Rounded to tenth) —> 43.6
Answer:
110 beats per minute.
Step-by-step explanation:
Since we know it beats 6600 beats per hour and there are 60 minutes in an hour then we have to divide 6600 by 60 which is 110.
Answer:
(-27,-3) (0,0) (1,1)
Step-by-step explanation:
Because I got it right xD
Answer:
16 cm
Step-by-step explanation:
Let the width be x
The length will be 3 x since the length is three times the width
Perimeter=2(l+w) where l is length and w is width
By substituting 128 cm for perimeter, x for w and 3 x for l then
128=2(3x+x)
128=8x

Therefore, the width is 16 cm, the width is 16*3=48 cm
Answer:
∠D B C = 41°
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given ∠ABC = 90°
In diagram ∠D B C + ∠A B D = 90°
6 x+5 + 8 x +1 = 90
14 x + 6 = 90
14 x = 90 -6
14 x = 84
<em> x = 6</em>
<u><em>Step(ii):-</em></u>
∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41
<em>∠D B C = 41°</em>
<em> ∠A B D = 8(6) +1 = 49°</em>
<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>