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4 years ago

I NEED HELP PLEASE, THANKS! :)

Mathematics

1 answer:

tekilochka [14]4 years ago

8 0

Answer:

108.43°

Step-by-step explanation:

I graphed this expression on the graph below and found the direction angle of 108.43°.

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Find the centroid of the region that is bounded below by the x-axis and above by the ellipse left parenthesis StartFraction x s

Mashcka [7]

Answer with explanation:

The equation of the ellipse is ,whose centroid we have to find is

$\rightarrow \frac{x^2}{4}+\frac{y^2}{9}=1$

The curve cuts the x axis at (2,0) and (-2,0) and y axis at (0,3) and (0,-3).

We have to find centroid of the Ellipse on the right of y axis.

Center of gravity will lie on x axis.

$\bar{x}=\frac{\int \int {x} \, dx dy}{\int \int dxdy}\\\\\bar{y}=\frac{\int \int {y} \, dx dy}{\int \int dxdy}\\\\ \bar{x}=\frac{\int\limits^2_0 {x} \, dx \int\limits^3_{-3} {1} \, dy}{\int\limits^2_0 {1} \, dx \int\limits^3_{-3} {1} \, dy}\\\\\bar{y}=0\\\\\bar{x}=\frac{(\frac{x^2}{2})\left \{ {{x=2} \atop {x=0}} \right \times (y)\left \{ {{y=3} \atop {y=-3}} \right.}{(x) \left \{ {{x=2} \atop {x=0}} \right \times (y)\left \{ {{y=3} \atop {y=-3}}}$

$\bar{x}=\frac{\frac{2^2}{2} \times [3-(-3)]}{2*3}\\\\ \bar{x}=\frac{6}{6}\\\\ \bar{x}=1\\\\ \bar{y}=0\\\\ \text{Center of gravity}=(\bar{x},\bar{y})=(1,0)$

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3 years ago

What is 60m to 90m using fraction notation and reduce

aliya0001 [1]

$\dfrac{60~m}{90~m} = \dfrac{6}{9} = \dfrac{2}{3}$

5 0

3 years ago

A recipe for muffins needs 3/4 of a cup of milk. You are making half of the recipe. How much milk should you use?

Maru [420]

You want half of the recipe, so you want half of 3/4 of a cup.

Multiply 3/4 by 1/2 cup.

3/4×1/2=3/8 cup.

You should use 3/8 cup of milk.

4 0

3 years ago

The circumference of the larger circle is approximately 22 meters and the circumference of the smaller circle is approximately 1

julia-pushkina [17]

Answer: approximately 3.5 meters.

Step-by-step explanation:

Given: Circumference of the smaller circle is approximately 11 meters.

Circumference of a circle = $\pi d$ , where d= diameter.

Ratio of circumference to diameter = $\pi$

As per given,

$\pi=\dfrac{11}{d}\\\\\Rightarrow\ d=\dfrac{11}{\pi}\\\\\Rightarrow\ d=\dfrac{11\times7}{22}\ \ \ [\pi=\dfrac{22}7]\\\\\Rightarrow\ d=\dfrac72=3.5\ meters$

Hence, the diameter of the smaller circle is approximately 3.5 meters.

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3 years ago

What is the factored form of r^27-s^3

Alinara [238K]

R²⁷ - s³
r²⁷ + r¹⁸s - r¹⁸s + r⁹s² - r⁹s² - s³
r²⁷ + r¹⁸s + r⁹s² - r¹⁸s - r⁹s² - s³
r⁹(r¹⁸) + r⁹(r⁹s) + r⁹(s²) - s(r¹⁸) - s(r⁹s) - s(s²)
r⁹(r¹⁸ + r⁹s + s²) - s(r¹⁸ + r⁹s + s²)
(r⁹ - s)(r¹⁸ + r⁹s + s²)

3 0

3 years ago