Answer:
89.8 feet
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and DB = 93 feet. Find the length of BC to the nearest tenth of a foot.
We would solve the above question using Sine rule
The formula is given as:
DB/sin D = BC/sin B
93/sin 90 = BC/sin 75
We cross multiply
sin 90 × BC = 93 × sin 75
BC = 93 × sin 75/sin 90
BC = 89.83 feet
Approximately BC = 89.8 feet
Answer:
k = 5
Step-by-step explanation:
The given line is y = 4x - 14.
The given point is (k, k + 1).
For this point, x = k and y = k + 1.
You substitute these equations into the line's equation to find the value of k.
(x = k)
(y = k + 1)
y = 4x - 14
(k + 1) = 4(k) - 14
Solve for k.
k + 1 = 4k - 14
Subtract k from both sides.
1 = 3k - 14
Add 14 to both sides.
15 = 3k
Divide both sides by 3.
15/3 = k
Simplify.
5 = k
And that's the answer!
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Answer:
5 hours or less
Step-by-step explanation:
Little hard to see your screen but I think I understand.
Since he has $21 and a coupon for $9 off, he can spend up to $30.
The rental costs $6 per hour so he could rent the boat for up to 5 hours. It would cost him $30 but he get $9 off with the coupon.
So your answer would be 5 hours or less
Answer:14
Step-by-step explanation:
The 250 cm board is cut into 5 pieces.
since three short pieces are of equal length, lets name each piece as 'x'
the longer ones are 15 cm longer than shorter ones so we can name them as 'x +15'
the sum of these pieces are 250
x + x + x + (x+15) + (x + 15) = 250
3x + 2x + 30 = 250
5x = 250 - 30
5x = 220
x = 44 cm
length of a short piece - 44 cm
length of long piece - 44 + 15 = 59 cm