The length of a rectangle is 3 feet more than twice the width. The perimeter is 24 ft. Find the dimensions of the rectangle

What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A

Vilka [71]

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

here,

$n$ = degrees

$r$ = radius

using this we'll solve all the parts:

r = 10, n = 20:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (10) \left(\dfrac{20}{360}\right)$

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

$L = \pi (10) \left(\dfrac{20}{180}\right)$

10 and 180 can be resolved: 180 divided by 10 = 18

$L = \pi \left(\dfrac{20}{18}\right)$

finally, both 20 and 18 are multiples of 2 and can be resolved:

$L = \pi \left(\dfrac{10}{9}\right)$

$L = \dfrac{10\pi}{9}$ Option (E)

r=3, n=6:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (3) \left(\dfrac{6}{360}\right)$

$L = \dfrac{\pi}{10}$ Option (D)

r=4 n=7

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (4) \left(\dfrac{7}{360}\right)$

$L = \dfrac{7\pi}{45}$ Option (C)

r=2 n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (2) \left(\dfrac{x}{360}\right)$

$L = \dfrac{x\pi}{90}$ Option (D)

r=y n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (y) \left(\dfrac{x}{360}\right)$

$L = \dfrac{xy\pi}{180}$ Option (E)

6 0

3 years ago

Please help me with this. I'll mark brainiest

atroni [7]

Answer:

Option 3 (C)

Step-by-step explanation:

Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18

To find the box plot that represents the data set, we need to find:

Min, Q1, median, Q3, and Max, which are all represented on a box plot.

Min = 3

Max = 18

Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7

Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5

Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11

The box plot that closely represented all these values is the box plot in option 3.

8 0

3 years ago

If (42)^p = 41^4, what is the value of p?

babymother [125]

First you need to make both bases the same:

Lets remove the ^p and ^4

To make the base of 42 equal to 41, you would have 41^x = 41

X - ln(42) / ln(41) = 1.00648904

Now you have 41^1.00648904(p) = 41^4

Now the bases are equal so we need to set the exponents to equal:

1.00648904(p) = 4

Divide both sides by 1.00648904 to solve for P

P = 4 / 1.00648904

P = 3.97421114

4 0

4 years ago

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2 2 1 2, start fraction, 1, divided by

podryga [215]

Answer:

Hence, Eric's elevation changed $4\frac{1}{4}$ meters above. So after the 2 moves, he is up by $4\frac{1}{4}$ meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and "positive" as climbing up. Here we need to find the change in elevation.

$2\frac{1}{2}$ meters down means $-2\frac{1}{2}$ .
$6\frac{3}{4}$ meters up means $+6\frac{3}{4}$ .

Now we have:

$=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}$

4 0

3 years ago

Niki donated 4 5/8 pounds of beans to the food drive and Annie donated 3 2/3 pounds of beans to the food drive. Together, how mu

meriva

Answer:

8 7/24

Step-by-step explanation:

These are mixed fractions first you need to convert them

4 5/8= 37/8

3 2/3= 11/3

Take LCM of 3 and 8 which 24.

Multiply 37/8 with 3= 111/24

Multiply 11/3 with 8= 88/24

Now add both fractions

111/24 +88/24 =199/24

This is an improper fraction. Divide 199 by 24 to change this into mixed fraction

8 7/24

5 0

3 years ago

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