Answer:
C) B = 38.8°, C = 93.2°, c ≈ 43
Step-by-step explanation:
For triangle: a / sin A = b / sin B = c / sinC
32 / sin 48° = 32 / 0.743
32 / 0.743 = 27 / Sin B sin B = 0.627
<u>B = 38.8°</u>
C = 180 - 48 - 38.8 = 93.2° sin C = sin 93.2° = 0.998
32 / 0.743 = c / 0.998 = 42.98 (<u>≈ 43</u>)
If there is only one solution, at x=-3, then the factor of (x+3) must be repeated. The equation must be equivalent to
... (x +3)² = 0
This multiplies out to give
... x² +6x +9 = 0
The value of m is 6.
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For finding the square of a binomial, you can either use the special form you have memorized:
... (x +a)² + x² +2ax + a²
or you can use the distributive property.
... (x +a)² = x(x +a) +a(x +a)
... = x² +ax +ax +a² = x² +2ax +a²
Answer:
5 cm
Step-by-step explanation:
the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter
if the length of the rectangle is 13cm, its opposite side is also 13cm
add 13 + 13 to get 26
let 'n' = width of rectangle
perimeter = 26 + n + n
36 = 26 + 2n
2n = 10
n = 5
Answer:
Senior citizen tickets = 9
Student tickets = 10
Step-by-step explanation:
We begin by converting the question into simultaneous linear equations;
Senior citizen tickets = a
Student tickets = b
4a + 6b = 96
8a + 13b = 202
to find a,
if 4a +6b = 96
a = 96/4 - 6b/4
a = 24 - 1.5b
We now substitute this into the second equation
8(24 - 1.5b) + 13b = 202
192 - 12b + 13b = 202
b = 202 - 192
b = 10
We now put the value of b in either equation
4a + 6b = 96
4a + 6(10) = 96
4a + 60 = 96
4a = 96 - 60
4a = 36
a = 9
