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2 years ago

Find the arc length of the particle circle

Mathematics

2 answers:

Annette [7]2 years ago

5 0

Answer:

6pi

Step-by-step explanation:

Khan

klasskru [66]2 years ago

4 0

Answer:

Length of arc is 2π

Step-by-step explanation:

Length of arc=¤/360 x 2πr

Where:

¤=angle

r=radius

length of arc=90/360 x 2xπx4

Length of arc=1/4 x 8π

Length of arc=8π ➗ 4

Length of arc=2π

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Alan and his classmates performed a linear regression analysis on the data set shown below and found that the line of best fit t

stealth61 [152]

Answer:

C. $y=\frac{4}{5}x+7$

Step-by-step explanation:

Alan and his classmates found that the line of best fit through the data had the equation $y=-\frac{5}{4}x+18$

The slope of this line is $m=-\frac{5}{4}$

If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.

The slopes of perpendicular lines are negative reciprocals of each other,

Hence that line must have slope $\frac{-1}{-\frac{5}{4}} =\frac{4}{5}$

Therefore we look for a line whose slope is $\frac{4}{5}$ from the given options.

That line is the third option $y=\frac{4}{5}x+7$

5 0

2 years ago

The ratio of lollipops to pieces of bubble gum at the party is 2 to 3. There are 24 lollipops. What is the total number of lo

disa [49]

Answer: 40

Step-by-step explanation: first make the ratio into a fraction, 2/3

then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24

then cross multiply 2 and 24.

2x24=48

then divide 48 by 3, 16.

last add the number of lollipops to 16 and the answer is 40.

5 0

2 years ago

Read 2 more answers

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

40x40x40+26-98+45x78x78x78 then divide by 3

kykrilka [37]

You've written "then" before 3, so i assume the real question is:

(40 * 40 * 40 + 26 - 98 + 45 * 78 * 78 * 78) / 3
Use "PEMDAS" first solve under the parenthesis, then after it.

= (64000 + 26 - 98 + 21354840) / 3
= 21418768 / 3
= 7139589.33

In short, Your Answer would be: 7139589.33

Hope this helps!

7 0

2 years ago

72÷8+3.4-105÷5<br>they say the answer is 0 but don't see how.

Sidana [21]

72/8 +3*4 - 105 /5
= 9 + 12 - 21
= 21 -21
= 0

4 0

2 years ago