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2 years ago

Please help me asappp (will give brainiest!)

Mathematics

1 answer:

ryzh [129]2 years ago

3 0

Answer:

TanФ=-1.793

Step-by-step explanation:

$Sin^{2} (A) + Cos^{2} (A) = 1$

$Sin(A)=\sqrt{1-Cos^{2} (A)}$

$Tan(A) = \frac{Sin(A)}{Cos(A)}$

$Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202$

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the zero-product property and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the second equation and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

11 months ago

Read 2 more answers

|x - 1| > 4 is equivalent to which of the following?

Vsevolod [243]

Answer:

C. x > 5 or x < - 3

Step-by-step explanation:

|x - 1| > 4

Step 1:

x - 1 > 4

x > 4 + 1

x > 5

Step 2:

x - 1 < -4

x < -4 + 1

x < -3

HP: {x > 5 or x < -3} (c)

3 0

2 years ago

7 - 8x + 22 What does X equal! x =?

VashaNatasha [74]

Answer: x = -3.625 or -29/8

Step-by-step explanation:

7-8x+22

1. -Set it equal to 0.

7-8x+22=0

2. Subtract 7 and 22 from both the left and right sides.

7-8x+22=0

-7 -22 -7 -22

8x = -29

4. Divide both sides by 8.

8x=-29

8 8

x= -3.625

Leave it in fraction form if decimal is unacceptable.

hope this helps.

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3 years ago

What is 3.40425532 reduced

True [87]

3.59
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3 years ago

Read 2 more answers

Who can help with geometry

Kay [80]

Answer:

h = 21.5cm.

Step-by-step explanation:

Step one: Simplify the volume.

220.16 x (pi) = 691.65cm^3.

Step two: Isolate h.

Cylinder volume equation: V = (pi)(r^2)(h), where r is the radius and h is the height.

Divide out the pi and r^2 on both sides to isolate h and move the equation to V/(pi)(r^2) = h.

Step three: Solve for h.

691.65/(pi)(3.2^2) = 21.5cm rounded to the nearest tenths place.

To illustrate this, please check the diagram below.

8 0

2 years ago