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3 years ago

Solve for x and show work

Mathematics

1 answer:

atroni [7]3 years ago

8 0

Answer:

x = 100 degrees.

Step-by-step explanation:

We the the External Angle of a Triangle theorem:

The external angle = the sum of the 2 opposite internal angles.

x = 61 + 39

x = 100 degrees.

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Given the piecewise function shown below select all the statements that are true

Rina8888 [55]

The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:

f(-1) = -(-1) + 1

f(-1) = 2 ✓

3 0

3 years ago

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Factor the expression completely over the complex numbers. x4−81

natima [27]

X4=81
x4=3 to the power of 4
x=3

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3 years ago

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this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y

marissa [1.9K]

Answer:

r = 3V/(2πh²)
h = 3V/b²
r = 25/π cm ≈ 7.9577 cm
w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

$V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}$

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

$V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}$

3. Solve the circumference formula for r, then substitute the given information.

$C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}$

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

$P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}$

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In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

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3 years ago

The door to the clubhouse has an area of 56 square centimeters. If the length of the door is 8 centimeters,how wide is the door

pogonyaev

7 centimeters

First, you have to set up an equation using the formula for area of a rectangle:
L x W = H. Then, plug in what you know: 8 x W = 56. Then, solve for x by dividing 56 by 8: W=7.

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3 years ago

2e=2 solve the question E=

lukranit [14]

Answer: E=1

Step-by-step explanation:

because 2 times 1 is 2 or any number multiplied by 1 is itself

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3 years ago

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