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3 years ago

I NEED HELP PLEASE, THANKS! :)

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

4 0

(I’m currently on mobile so sorry for possible bad formatting)

First, recall the trig identity: tan(A-B)=(tan(A)-tan(B))/(1+tan(A)tan(B))

We see that the given equation directly corresponds with this, with A=9x and B=5x.

Thus we can equate the given equation to tan(9x-5x)=tan(4x)
This cannot be simplified further.

KIM [24]3 years ago

3 0

Answer: tan(14x)

<u>Step-by-step explanation:</u>

Consider the Sum Formula for tan:

$tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}$

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A circle has its center at (−2, 5) and a radius of 4 units. Find the equation of the circle using the Pythagorean Theorem.

Vesnalui [34]

The pythagorean theorem is only used for right triangles? however, you can find the equation with the info given. a circle is written as (x-h)^2+(y-k)^2=r^2. in this scenario, h=-2, k=5, and r=4.

Your final equation would be (x+2)^2+(y-5)^2=16

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3 years ago

A circular picture is 8 inches in diameter.

velikii [3]

The formula of an area of a circle with radius r:

$A=\pi r^2$

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We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.

Therefore:

$r=\dfrac{d}{2}\to r=\dfrac{8}{2}=4\ in$

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$A=\pi\cdot4^2=16\pi\ in^2$

Answer: C. 16π square inches.

Part 2.

Look at the picture.

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Answer: C. 36π square inches

7 0

3 years ago

3. Cuál de las siguientes fracciones NO es equivalente a 6/11:

Readme [11.4K]

Answer:

C no es equivalente a 6/11.

Step-by-step explanation:

24/42 no es equivalente a 6/11 porque, cuando se simplifica, no es igual a este número. Si usamos el número 6 para simplificar, la respuesta a 24/42 sería 4/7, que no es igual a 6/11.

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3 years ago

Read 2 more answers

Determine the intercepts of the line.

andre [41]

Answer:

x-intercepts = (-3/4, 0)

y-intercepts = (0, 3/7)

Step-by-step explanation:

3 0

3 years ago

It’s not 0.615 , or 0.75 or the one shown in the picture

Dafna1 [17]

$2.40714$

1) Let's evaluate that expression, given that a=4.9, b=-7, and c=-0.5

$\begin{gathered} a^3\div b^2+c^3 \\ (4.9)^3\div(-7)^2+(-0.5)^3= \\ \frac{4.9^3}{\left(-7\right)^2+\left(-0.5\right)^3} \\ \\ \frac{4.9^3}{48.875} \\ \\ \frac{117.649}{48.875} \\ \\ 2.40714 \end{gathered}$

Note that we have rewritten it as a fraction so that we can easily operate. Also, we have applied here the PEMDAS order of operations, prioritizing the exponents.

6 0

1 year ago