All categories

3 years ago

Explain how the diameter and circumference are related?

1 answer:

4 0

In math, we have a formula that relates these two parts of a circle. This formula is called the circumference formula, and it is C = pi*d where C stands for the circumference and d stands for the diameter. And pi is pi or 3.14.

You might be interested in

Help me please with #12

Helga [31]

Answer:

Am am not that big brain

Step-by-step explanation:

6 0

2 years ago

Find the work done by force dield f(x,y)=x^2i+ye^xj on a particle that moves along parabola x=y^2+1 from(1,0) to (2,1)

NemiM [27]

Call the parabola $P$ , parameterized by $\mathbf r(y)=\langle y^2+1,y\rangle$ with $0\le y\le 1\rangle$ . Then the work done by $\mathbf f(x,y)$ along $P$ is

$\displaystyle\int_P\mathbf f(x,y)\cdot\mathrm d\mathbf r=\int_{y=0}^{y=1}\mathbf f(x(y),y)\cdot\dfrac{\mathrm d\mathbf r(y)}{\mathrm dy}\,\mathrm dy$
$=\displaystyle\int_0^1\langle(y^2+1)^2,ye^{y^2+1}\rangle\cdot\langle2y,1\rangle\,\mathrm dy$
$=\displaystyle\int_0^1(2y^5+4y^3+2y+ye^{y^2+1})\,\mathrm dy=\frac73-\frac e2+\frac{e^2}2$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B100%7D%20%20%5Ctimes%20115" id="TexFormula1" title=" \frac{15}{100} \tim

uranmaximum [27]

Answer:

3/5

Step-by-step explanation:

7 0

2 years ago

I really need help with this question

SOVA2 [1]

In the matrix, the first row is exactly twice the second. This implies that the determinant is zero.

If the matrix system has determinant zero, the system has either no solutions or infinite solutions.

However, just like in the matrix, in the constant vector the first term is twice the second. This means that the system has infinite solutions.

In fact, if you write this system in expanded form, you can see that it generates two equations, the first being twice the second:

$\begin{cases}2x+4y=6\\x+2y=3\end{cases}$

4 0

2 years ago

Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7. Law of sines: StartF

JulijaS [17]

Answer: Angle K measures 34° (approximately)

Step-by-step explanation: (Please refer to the picture attached).

The triangle has been described as having sides JKL and one of the angles identified as angle JLK measures 105 degrees. Also one of the sides labelled JK measures 4.7 while another side JL measures 2.7.

The law of sine (or sine rule) shall be applied as stipulated in the question and this is most appropriate because this rule in mathematics applies when you have a triangle with two sides and one of the angles (facing one of the two sides) given, or when you have two angles and one side facing one of the angles given.

In this question, you have been given two sides, JK and JL and you also have angle K (facing side JL) given. The Sine Rule is stated as follows

SinA/a = SinB/b = SinC/c

(Note that a/SinA = b/SinB = c/SinC is also very correct)

Substituting for the known values, our sine rule can now be re-written as

SinL/4.7 = SinK/2.7

Sin 105/4.7 = SinK/2.7

(Sin 105 * 2.7)/4.7 = SinK

(0.9659 * 2.7)/4.7 = Sin K

2.60793/4.7 = Sin K

0.5549 = Sin K

Checking the values with a calculator gives you

K = 33.70

K ≈ 34°

Therefore angle K = 34°

5 0

2 years ago