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3 years ago

What is the circumference of a circle with an area of 50.24

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

Answer: C=25.12

Step-by-step explanation:

$\displaystyle\ \Large \boldsymbol{} if \ \ equal \ \pi =3,14 \ \ then \\\\\pi r^2=3,14r^2\\\\3,14r^2=50,24 \\\\ r^2=16 \\\\ r=4 \Longrightarrow C= 2\pi r=2\cdot 3,14\cdot 4=25.12 \\\\\\ Answer : C=25.12$

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If RSTU is a rhombus, find the measure of angle RUT.

Schach [20]

Finding x:

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19 [replacing the given values of the angles]

7x - 23 = 19 [subtracting 3x from both sides]

7x = 42 [adding 23 on both sides]

x = 6 [dividing both sides by 7]

Finding ∠RUT:

We can see that:

∠RUT = ∠RUS + ∠TUS

Since we are given the values of ∠RUS and ∠TUS:

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

We know that x = 6:

∠RUT = 13(6)- 4

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3 years ago

What is the slope of the line through points (0,6) and (5,-4)

anastassius [24]

The slope between the points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(0,6) and (5,-4)
x1=0
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7 0

3 years ago

Colin is skateboarding and is riding a rail. The rail is attached to two poles. The first pole is 80 cm tall and the

Vinvika [58]

Answer:

$\sqrt{4.49m}$

Step-by-step explanation:

the unit of length is meter,

so, 80cm=0.8cm, 10cm=0.1m

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2 years ago

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nlexa [21]

Answer:

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Step-by-step explanation:

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Slope=(y2-y1)/(x2-x1)

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4 years ago

Read 2 more answers

Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. Y = 1x, y = 1,

Goryan [66]

The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.

Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is

π (radius) (height) = π (1/y)² ∆y = π/y² ∆y

and the volume of a stack of n such disks is

$\displaystyle V_n = \sum_{i=1}^n \pi {y_i}^2 \Delta y$

where $y_i$ is a point sampled from the interval [1, 5].

As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,

$\displaystyle V = \lim_{n\to\infty} V_n = \int_1^5 \frac{\pi}{y^2} \, dy$

$V = -\dfrac\pi y\bigg|_{y=1}^{y=5} = \boxed{\dfrac{4\pi}5}$

8 0

2 years ago