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4 years ago

Solve attachment 30 points!!!!!

Mathematics

1 answer:

Effectus [21]4 years ago

4 0

Answer:

$A=\frac{B^3}{5g+m}$

Step-by-step explanation:

Step 1: Write out equation

5gA + mA = B³

Step 2: Factor out A

A(5g + m) = B³

Step 3: Divide both sides by 5g + m

$A=\frac{B^3}{5g+m}$

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

7 0

3 years ago

Find the matrix that represents a rotation clockwise around origin followed by reflection about x

Westkost [7]

I would have to see the graph

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=27%20%5Ctimes%20%5Cpi%20%3D%20%5Cpi%20%5Ctimes%2027" id="TexFormula1" title="27 \times \pi = \

Tju [1.3M]

I'm not sure what the question is here. If an answer is communicative property, go with that. If it is asking for $\pi x 27$ , the answer is about 84.8230016469.

6 0

3 years ago

Find the next number is the sequence<br><br> 1, 2, 6, 21, 4, 0, ?

bazaltina [42]

Whats the factor u adding up to

8 0

4 years ago

Someone plz help me

marusya05 [52]

This is a parabola which looks like an inverted U. Its will have a maximum value when t = 7 as we see from the vertex form below:-

- t^2 + 14t - 40
= - ( t - 7)^2 + 49 - 40
= -(t - 7)^2 + 9

There is an axis of symmetry at x = 7.

so a is true since 7 is the maximum value of the function and its less at t = 6.
c is also true because of the symmetry about t = 7

8 0

3 years ago