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Ksju [112]
2 years ago
14

HHHHEEEELLLLPPPPP PPPPLLLLLLSSSSS 10 points

Mathematics
1 answer:
Alina [70]2 years ago
8 0

Answer:

Step-by-step explanation:

1Bothlineparrell
The The 80-(A

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Asap! find the length of the arc
Fantom [35]

<u>Answer</u>:

A.  \frac{21}{4} \pi\ \space\ in

<u>Step-by-step explanation:</u>

The formula for arc length is:

arc length = rθ

where:

r is the radius = 7 in

θ is the central angle in radians = 135  ×  \frac{ \space\ \pi\ }{180}  = 3/4 π

Substituting these values into the formula:
arc length = 7 in × 3/4 π

                 = \frac{21}{4} \pi\ \space\ in

                             

6 0
2 years ago
Use compatible numbers to estimate the quotient. 635÷9
gayaneshka [121]
Here, 635/9
Nearest divisible of 9 is 630 so, 
It would be: 70 * 9 + 5

In short, Your Quotient would be 70

Hope this helps!
6 0
3 years ago
The price trends of two laptop brands M and N are given by the functions
vodomira [7]
PM after 10 months is priced at 3650
pN after 10 months is priced at 4000

I hope you can answer your question with that! :)
8 0
3 years ago
Nadia makes a monthly income of $4,000. How much will Nadia have for impulse shopping after she pays all of her bills for the mo
Llana [10]
You add all the percentages up and it will give you 64. take 64 and put it over 100 because percentages as a fraction will always be the amount over a 100.  
so its 64/100 multiply by 4000/1. 64*4000= 256000 over 100. 256000 divided by 100 = 2560

$2560
7 0
3 years ago
Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What
Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 cm^{2}

5. (2\pi+1):2\pi

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}

Volume of a cylinder is given as:

V = \pi r^{2} h

Putting the values:

V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 =  (\dfrac{b^2}{4\pi}) l

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}

Volume of a cylinder is given as:

V = \pi r^{2} h

Putting the values:

V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 =  (\dfrac{l^2}{4\pi}) b

Taking ratio:

V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

\therefore height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. 2\pi r = 7 cm

Curved surface area of a cylinder:

CSA = 2\pi rh

Putting the above values:

CSA = 7 \times 7 = 49 cm^{2}

Solution 5:

As calculated in above step:

CSA = 2\pi rh = 7 \times 7 = 49 cm^{2}

Total surface area = 2\pi r^{2} + 2\pi r h

Calculating value of r:

2\pi r = 7 cm

\Rightarrow 2  \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}

Total surface area =

2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2

Ratio of TSA: CSA is

49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi

5 0
3 years ago
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