Answer:
48 and 132
Step-by-step explanation:
x + (x + 84) = 180
2x + 84 = 180
-84 -84
2x = 96
96/2 = 48
Answer:
<u>The correct answer is x = 7.05</u>
Step-by-step explanation:
1. Let's review the information given for answering the question:
7. 9x = 55.68
2. For solving the equation, we should proceed this way:
x = 55.68/7.9
x = 7.0481
<u>x = 7.05 (Rounding to two decimal places)</u>
<u>3. </u>Let's prove if the value of x is correct
7.9 * 7.05 = 55.68
55.69 = 55.68
<u>The value is correct because we rounded the value of x</u>
Answer:
a) -tan(π/4) = -1
b) -1/sin(π/3) = -(2/3)√3
Step-by-step explanation:
The given functions are reciprocals of the primary trig functions:
cot(x) = 1/tan(x)
csc(x) = 1/sin(x)
The tangent function has a period of π, and is equal to the cotangent of the complementary angle.
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<h3>a)</h3>
The given angle is an alias of -π/4, so we can write ...
cot(7π/4) = cot(-π/4) = -cot(π/4) = -tan(π/2 -π/4) = -tan(π/4)
-tan(π/4) = -1
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<h3>b)</h3>
csc(-π/3) = 1/sin(-π/3) = -1/sin(π/3) = -1/(√3/2) = -2/√3
-1/sin(π/3) = -2√3/3
Answer:
-an - 4a + 3n + 12
Step-by-step explanation:
(-a + 3)(n + 4)
= -an - 4a + 3n + 12
Step-by-step explanation:
At Bob's binders, the unit price = $4.20 ÷ 3
= $1.40
At Pam's Paper Place the unit price = $5.20 ÷ 4 = $1.30
the better buy is at Pam's Paper place
