Answer:
13 + 4(2) - 5(13) + 3
<em>multiply the numbers</em>
13 + 8 - 65 + 3
<em>calculate the sum or difference </em>
= -41
Step-by-step explanation:
I cand type long division but the answer is 5,696
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: $64
Step-by-step explanation:
Given: The part of money he spent =3/4
Let the total money Otto has be 'x'.
Then according to the question, we have
Multiply 4 on both the sides, we get
Divide 3 on both the sides, we get
Hence, the money he had before he bought the game = $64
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
