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2 years ago

Help me with this please explain

Mathematics

1 answer:

laila [671]2 years ago

4 0

Answer:

circumference=50.24 cm

area=200.96 cm²

Step-by-step explanation:

r=16/2=8

circumference=2πr=2×3.14×8=50.24 cm

area=πr^2=3.14×8²=200.96 cm²

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Three parallel lines are intersected by a transversal. twelve angles are created. one of the angles measures 48° how many of the

lozanna [386]

If there are twelve angles created, almost all of them are congruent. All the sides have to equal 180. If there are three parallel lines they must have 2 angles on each side. 3*2=6, there is a total of six with a measure of 48.

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2 years ago

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What is the area of the quadrilateral with vertices at (1, 0), (2, 0), (2, 5), and (1, 5)?

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Answer:

5 unitsquare

Step-by-step explanation:

rectangle

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Find the first and second derivative of the function defined by the parametric equation.

Sergeu [11.5K]

Answer:

Step-by-step explanation:

Given two parametric equations $x(t)$ and $y(t)$ , the first derivative can be found using the following equation:

$\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}$

In this problem, $x(t) = 3e$ and $y(t) = 3^{3t} - 1$ . Finding the derivative of each of these functions with respect to $t$ gives us the following:

$\frac{dx}{dt} = 0$

$\frac{dy}{dt} = 3^{3t + 1}\log{3}$

Because $\frac{dx}{dt} = 0$ , that means the function is a vertical line and has an infinite first derivative.

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2 years ago

Twice the difference of a number and 2 is at most -27

igor_vitrenko [27]

<h2>Explanation:</h2><h2 />

When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:

Step 1. Twice the difference of a number and 2

Let's call that unknown number as n. Then, twice the difference of a number and 2 is:

$2(n-2)$

Step 2. Twice the difference of a number and 2 is at most -27

$2(n-2)\leq -27$

_________________________________________

So the mathematical form of the statement twice the difference of a number and 2 is at most -27 is:

$\boxed{2(n-2)\leq -27}$

5 0

2 years ago

Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

egoroff_w [7]

Answer:

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

$y = 1 -2x$

Rearrange into slope-intercept form:

$y = -2x+1$

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of $\displaystyle\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\displaystyle\frac{1}{2} x+b$

Determine the y-intercept (b):

$y=\displaystyle\frac{1}{2} x+b$

Plug in the given point (1,3) and solve for b:

$3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}$

Therefore, the y-intercept is $\displaystyle \frac{5}{2}$ . Plug this back into $y=\displaystyle\frac{1}{2} x+b$ :

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

I hope this helps!

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1 year ago