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2 years ago

The area of a circle is 529 inches. Find the radius.

2 answers:

8 0

From the notes I looked at from other people and plugging in the circumference to the formula, the radius is about 12.98.

ruslelena [56]2 years ago

6 0

$\sqrt{529}$
square root it and divide by pi. square root of 529 is 23. then divided by pi (3.14) is 7.32.

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What would be 12% of 40

weeeeeb [17]

Hello,

Answer:

4,8

Step-by-step explanation:

<u>what would be 12% of 40 ? </u>

12% × 40 = 12/100 × 40 = 0,12 × 40 = 4,8

3 0

2 years ago

Please help me solve this equation and show the work show me how you got the answer

Nesterboy [21]

Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

$\frac{2}{5} (5k+35)-8=12$ [add both sides by 8]

$\frac{2}{5} (5k+35)=20$ [multiply both sides by 5/2]

$5k+35=50$ [subtract both sides by 35]

$5k=15$ [divide both sides by 5]

$k=3$

Now, we know that k=3.

7 0

2 years ago

Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)

Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is $-\frac{1}{3}$ , then the slope of the line perpendicular is $3$ .

Knowing this, we can start to construct the equation for the line:

$y = mx + b$

$y = 3x + b$

To solve for $b$ , we plug in the coordinates of the point that we know the line runs through, $(2, 1)$ :

$y = 3x + b$

$1 = 3(2) + b$

$1 = 6 + b$

$b = -5$

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

$y = 3x - 5$

5 0

3 years ago

A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the

STALIN [3.7K]

Answer:

The width of rectangle is $W=\frac{108}{13}\ cm$ or $8\frac{4}{13}\ cm$

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm$

substitute

$26=2(x+4+12x)$

solve for x

$26=2(13x+4)$

$26=26x+8$

$26x=26-8$

$26x=18$

$x=\frac{18}{26}$

simplify

$x=\frac{9}{13}$

<em>Find the width of rectangle</em>

$W=12x\ cm$

substitute the value of x

$W=12(\frac{9}{13})=\frac{108}{13}\ cm$

Convert to mixed number

$\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm$

7 0

2 years ago

Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth. Radius: 4cm, Height: 11cm

Vedmedyk [2.9K]

Answer:

276.3cm²

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

A can is in the shape of a cylinder

Lateral surface area of a cylinder = 2πrh

π = pi = 3.14

h = height = 11

r = radius = 4

2 x 3.14 x 4 x 11 = 276.32 cm²

to the nearest tenth = 276.3 cm²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

7 0

2 years ago