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poizon [28]
3 years ago
14

PLEASE HELP WILL MARK BRANIEST

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

1.14male studying biology

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The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that
lyudmila [28]

Answer:

The radius of the circle is r=1.68\ units

The length of the square is x=3.36\ units

Step-by-step explanation:

we know that

The circumference of a circle is equal to C=2\pi r

The perimeter of the square is equal to P=4x

so

24=2\pi r+4x

Simplify

12=\pi r+2x

x=(12-\pi r)/2 -----> equation A

The area of a circle is equal to A=\pi r^{2}

The area of a square is A=x^{2}

The total area is equal to

At=\pi r^{2}+x^{2} -----> equation B  

substitute equation A in equation B

At=\pi r^{2}+[(12-\pi r)/2]^{2}

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

r=1.68\ units

Find the value of x

x=(12-\pi r)/2

assume

\pi =3.14

x=(12-(3.14)*(1.68))/2

x=3.36\ units

8 0
3 years ago
Please help iready math
Kamila [148]

Answer:

-4+(-9)

Step-by-step explanation:

You change the minus signs into and addition sign and make the number a negative.

8 0
3 years ago
Read 2 more answers
What percent of 95 is 74
Softa [21]
74 is what percent of 95?


74 is P% of 95


Equation: Y = P% * X


Solving our equation for P

P% = Y/X

P% = 74/95

p = 0.7789

Convert decimal to percent:

<span>P% = 0.7789 * 100 = 77.89%
</span>

Hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
What is the area of a circle with a radius of 42 inches?<br> in²<br> (Use 3.14 for Pi.)
TEA [102]

Answer:

Area of circle = π r ^ 2

= 3.14 × ( 42) ^ 2

= 5538.96 in^2

If you need any other help , please let me know ! [ you'll have to pay btw]

3 0
2 years ago
Why is the equation y-y1=m(x-x1) called the point-slope form?
MatroZZZ [7]

Answer:

The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

Step-by-step explanation:

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

The formula y-y_1=m\left(x-x_1\right) is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.

For example, if we are given the point (1, 1) and slope m = 2

Then substituting the values m = 2 and the point (1, 2)

y-y_1=m\left(x-x_1\right)

y - 2 = 2(x-1)

y - 2 = 2x-2

y = 2x-2+2

y = 2x

Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

y = 2x

5 0
2 years ago
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