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2 years ago

Select the correct answer.

Mathematics

1 answer:

faltersainse [42]2 years ago

4 0

Key concept for this question is knowing the laws of logarithm. hope this helps and feel free to clarify!

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What is the frequency of d=9cos(pi/2 t)

patriot [66]

The period is equal to 2pi/n, where n is the coefficient of t. In this case pi/2. Therefore the period in this example is 4. Frequency is equal to 1/period. Hence the frequency for this problem is 1/4

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3 years ago

Trigonometry heeellllppp plzzzz

algol [13]

Answer:

x ≈ 3.4 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{4}$ ( multiply both sides by 4 )

4 × sin57° = x , thus

x ≈ 3.4 cm ( to 1 dec. place )

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3 years ago

What is the surface area of a rectangular prism with a width of 5cm, length

ser-zykov [4K]

Answer:

It would be 94 cm

Step-by-step explanation:

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3 years ago

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Find the value of x.

mylen [45]

Answer:

Step-by-step explanation:

7x + 2 and 10x - 9 are same- side interior angles and sum to 180° , that is

7x + 2 + 10x - 9 = 180

17x - 7 = 180 ( add 7 to both sides )

17x = 187 ( divide both sides by 17 )

x = 11 → d

4 0

3 years ago

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A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :