07/24/21

Let α and β be two acute angles of a right triangle in a unit circle. (Thus α and β are complementary angles.)
a. Show that sin⁡(α)=cos⁡(β) and sin⁡(β)=cos⁡(α)b. Under what conditions will sin⁡(α)=cos⁡(α)
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07/24/21

PLSSS HELPPP. The following equation is often referred to Euler's formula. e^πi+1=0
a. Identify three important mathematical constants in the formula. Explain why each constant is important.b. Use what you know about complex numbers to show that this equation is true. In other... more
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07/23/21

give an example of two functions h(x) and g(x), such that (h o g) (x) does not exist. explain your answer.
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07/23/21

Trigonometry (sine function)
Why is the inverse of sine of (0.5/√0.5). The calculator isn't computing. I'm not getting the angle.I thought sine = opposite/hypotenusex=0.5y= 0.5radius= √0.5
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07/23/21

Factor 3x²−16x+20. Rewrite the trinomial with the x-term expanded, using the two factors.
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07/23/21

Factor 2x²+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.
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07/23/21

Factor 3x²−11x−20 . Rewrite the trinomial with the x-term expanded, using the two factors. Then, group the first two and last two terms together and find the GCF of each.
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07/23/21

Factor 2x²−x−10 . Rewrite the trinomial with the x-term expanded, using the two factors. Then, group the first two and last two terms together and find the GCF of each.
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07/23/21

Interest rates math
a total of $5000 is invested part at 5% simple interest and part at 6% if the total annual return from the two investments is $270 how much is invested at each rate
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07/23/21

a wallet contains 43 notes, all of which are either $10 or $20 notes, if it amounts to $700, how many $10 notes are there
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07/23/21

Whare are the possible values
If 0^o ≤ θ ≤ 360^o, what are all the possible values of angle θ for the following? a) sin(θ) = -1/√(2) b.) tan(θ) = √(3)
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07/23/21

determine how far apart
Two friends, Manpal and Jas, start from the same point but ride their bikes down two different paths. The paths meet at an angle of 28°. Manpal rides 25km down his path, while Jas rides 18km down... more
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07/23/21

Cassandra attempts to do the yo-yo trick 'Around the World
She throws the yo-yo so that it sweeps out a vertical circle whose radius is the length of the yo-yo string. If the yo-yo string is 27 inches long and the distance the yo-yo travels in an arc is... more
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07/23/21

How to find a derivative from a given local minimum?
Suppose that 𝑓 is differentiable, and 𝑓 (−7) = −1 is a local minimum. What is f'(-7)?
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07/23/21

How do I determine the exact length of wood in this question please!?
To support a new 5m wall in the construction of a home, the carpenters nail a piece of wood from the top of the wall to the floor, with the piece of wood forming the hypotenuse of a right triangle... more
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07/22/21

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.
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07/22/21

The coordinates of a point P on the terminal arm of an ∠𝜃 in standard position are given, where 0° ≤ 𝜃 ≤ 360°. Determine the exact values of 𝑠𝑖𝑛𝜃, 𝑐𝑜𝑠𝜃, 𝑎𝑛𝑑 𝑡𝑎𝑛𝜃.
a) 𝑃(4,5) b) 𝑃(−3,−6)
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07/22/21

Solve the following triangle, rounding answers to the nearest tenth if necessary. In ∆𝐸𝐹𝐺, ∠𝐹 = 67.8°, 𝑓 = 12.5 𝑚, 𝑎𝑛𝑑 𝑒 = 9.8 m
This is a right triangle, I believe.
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07/22/21

Solve each triangle. Round each measure to the nearest tenth of a unit.

a)) In ∆ABC, ∠B=90 degrees, ∠C=47.1 degrees, c=9.7 cmb)) In 𝐼𝑛 ∆𝐾𝐿𝑀,∠𝐾 = 90 degrees , 𝑚 = 12.4 𝑐𝑚 𝑎𝑛𝑑 𝑙 = 8.8𝑐m
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07/22/21

Determine whether the system of linear equations is inconsistent or dependent.
Determine whether the system of linear equations is inconsistent or dependent.   x  +  y  +  z  =  4 y  −  3z  =  11 2x  +  y  +  5z  =  −5 dependentinconsistent    If it is dependent,... more
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07/22/21

Solve the following equation for θ on the interval [0,360∘). 6sec(θ)−8=−14
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07/22/21

You are given that cos(A)=−8/17, with A in Quadrant III, and cos(B)=20/29, with B in Quadrant I. Find cos(A+B). Give your answer as a fraction.
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07/22/21

You are given that sin(A)=−9/41, with A in Quadrant III, and cos(B)=4/5, with B in Quadrant I. Find sin(A+B). Give your answer as a fraction.
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07/22/21

The average of two numbers is 5x. If one of the numbers is 2x+3, find the other number
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07/22/21

The population increase of a city

the populations P (in thousands) of a certain city from 2000 through 2007 can be modeled by P=1666.9e^kt, Where t represent the year, with t= 0 corresponding to 2000. In 2006 the population of the... more
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