Answer:
15:17
Step-by-step explanation:
Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
With respect to ∠B given that ∠D=90°,
BD is the adjacent side
CB is the hypotenuse side
and DC is the opposite side
Hence Sin B = 15/17
Answer:
Step-by-step explanation:
area of triangular face = ½·3·4 = 6 cm²
area of 3 by 7 face = 3×7 = 21 cm²
area of 5 by 7 face = 5×7 = 35 cm²
area of 4 by 7 face = 4×7 = 28 cm²
total surface area = 2×6 + 21 + 35 + 28 = 96 cm²
Answer:
Step-by-step explanation:
1. - 3x + 32 = - x - 12
-3x + x = - 12 - 32
-2x = - 44
x = 44/2 = 22
2. 8x + 16 = x + 9
8x - x = 9 - 16
7x = - 7
x = - 7/7
= - 1
3. 3x + 2 = 2x - 55
3x - 2x = - 55 - 2
x = - 57
Answer:
Number of student tickets were sold = 409
Step-by-step explanation:
Total number of tickets sold = 771
I.e Students ticket (S) + Non students ticket(N S) = 771
Total amount to be paid for tickets = $ 3037
Amount paid by students per tickets = $3
Amount paid by non-students per tickets = $5
So, according to question
S + NS = 771
3 S + 5 NS = 3037
Solve both equations
5 S + 5 NS = 771 × 5
3 S + 5 NS = 3037
so ,
(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037
Or, 2 S = 818
I.e S = 
= 409
Hence, The number of student tickets were sold = 409 Answer
